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HALIMA: A Hybrid Array for LIfetime MeAsurement of neutron-rich nuclei at IMP

NUCLEAR PHYSICS AND INTERDISCIPLINARY RESEARCH

HALIMA: A Hybrid Array for LIfetime MeAsurement of neutron-rich nuclei at IMP

Zi-Hao Jia
Yong-De Fang
Si-Cheng Wang
Wei Hua
Hong-Yi Wu
Guang-Xin Zhang
Cen-Xi Yuan
Zhi-Xuan Wang
Jun-Hong Xu
Jian-Hong Li
Wen Liang
Yu-Hong Tan
Wen-Jun Pan
Yu-Xuan Ren
M. Kumar Raju
Song Guo
Guang-Shun Li
Yun-Hua Qiang
Min-Liang Liu
Bing Ding
Ming-Hui Huang
Ning-Tao Zhang
Bing-Shui Gao
Peng Ma
He-Run Yang
Ruo-Fu Chen
Hai-Xia Li
Rong-Hua Li
Xiu-Hua Wang
Cui-Hong Chen
Hai-Bo Yang
Jian-Song Wang
Xiao-Hui Sun
Zhi-Huan Li
Hui Hua
Wei Wang
Xin-Xing Xu
Xiao-Hong Zhou
Zai-Guo Gan
Yu-Hu Zhang
Nuclear Science and TechniquesVol.37, No.2Article number 25Published in print Feb 2026Available online 03 Jan 2026
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A new multi-detector array named HALIMA (Hybrid Array for LIfetime MeAsurement) has been developed at Lanzhou for nuclear structure studies in fission. The array comprises eight BGO-shielded High-Purity Germanium (HPGe) detectors and twenty fast Ce-doped Lanthanum Bromide [LaBr3(Ce)] detectors shielded with CsI(Tl). HALIMA is further complemented by two ancillary detector systems: fission fragment (FF) detectors and β detectors. This configuration enables precise sub-nanosecond lifetime measurements using the four-fold FF/β-Ge-LaBr3(Ce)-LaBr3(Ce) coincidence technique. The performance and specifications of the detectors, associated electronics, and the data acquisition system are presented in detail. The advantage of FF selectivity is emphasized, which significantly enhances sensitivity to specific fission channels. Using this approach, the lifetimes of the nuclear excited states populated in the spontaneous fission of 252Cf were measured, showing good agreement with the established literature values.

FFs/β-γ rays coincidencesSelectivitySpontaneous fissionLaBr3(Ce)HPGeSolar cellsLifetime measurement
1

Introduction

Measurement of the lifetimes of nuclear excited states is a fundamental aspect of nuclear structure studies. These lifetimes are directly related to the reduced transition probabilities, which provide essential information about the underlying nuclear structure, including the degree of overlap between the initial and final nuclear wave functions. Precise lifetime data are crucial for testing nuclear models and understanding the collective and single-particle excitations across various regions of the nuclear chart. Over the past two decades, the development of the fast scintillator LaBr3(Ce) has opened the possibility of performing fast timing measurements on the lifetimes of nuclear states ranging from nanoseconds to picoseconds [1]. Several dedicated fast-timing arrays have been developed since then, including FATIMA [2], KHALA [3], and VESPA [4]. When coupled with a Ge array, these arrays are used in triple Ge-LaBr3(Ce)-LaBr3(Ce) coincidence measurements, allowing a wide range of excited-state lifetimes in neutron-rich nuclei to be studied. This method leverages the superior energy resolution of Ge detectors to isolate specific transitions of interest, whereas the coincident γ-γ events recorded by the LaBr3(Ce) array were used to perform precise fast-timing analyses. More recently, extensive lifetime measurement studies have been performed using combined setups such as EXILL & FATIMA [5], ν-ball & FATIMA [6] and GAMMASPHERE & FATIMA [7] using thermal and fast neutron-induced fission, as well as 252Cf spontaneous fission source. However, achieving high selectivity and effective background suppression is a major challenge in such studies. In any fission process, hundreds of different fission fragments are produced, with each fragment typically emitting approximately seven γ-rays. The accurate association of these γ-rays with their corresponding fission products with an intense background is experimentally demanding. To obtain clean data, it is essential to enhance selectivity and minimize background contributions.

To overcome the limitations associated with using a Ge array alone, various fission-tagging devices have been developed to enhance the selectivity. One notable example is the integration of a liquid scintillator-based active fission target into the FIPPS spectrometer at the ILL [8]. This active target enables the identification of fission fragments and their temporal correlation with the subsequent γ decay, allowing efficient suppression of the uncorrelated γ-ray background originating from β-decay. To further improve the selectivity and suppress the background originating from nonspecific fission products, mass-identified fission fragment FIFI spectrometers with a resolution of approximately six mass units have been employed in isomer decay spectroscopy studies [9].

To enhance the selectivity and suppress the background, a dedicated hybrid setup HALIMA (Hybrid Array for Lifetime MeAsurement, HALIMA) was developed at the Institute of Modern Physics, Chinese Academy of Sciences, China. HALIMA is specifically designed to measure the sub-nanosecond lifetimes of neutron-rich nuclei produced via fission. The array consists of eight Compton-suppressed HPGe and twenty LaBr3(Ce) detectors with CsI(Tl)-based anti-Compton shields for γ-ray detection. In addition, two auxiliary detector arrays, 36 solar cell detectors, and 36 fast plastic scintillators were integrated into the HALIMA setup to detect fission fragments and β particles. With fragment tagging via solar cells and β-particle tagging via plastic scintillators, HALIMA enables the simultaneous application of both FF-Ge-LaBr3(Ce)-LaBr3(Ce) and β-Ge-LaBr3(Ce)-LaBr3(Ce) fast timing techniques. A key component of the HALIMA setup is the solar cell array, which registers the implantation of fission fragments and correlates them spatially and temporally with their subsequent γ decay, thereby effectively serving as a fission tag. As demonstrated later, the application of mass-identified fission tagging reduces the background from other fragments by more than a factor of four. In addition to fission tagging, the use of CsI(Tl)-shielded LaBr3(Ce) detectors in Compton-suppression mode enhances the peak-to-total ratio by a factor of 1.5. To further optimize the detection, the LaBr3(Ce) array in HALIMA was designed to have twice the efficiency of the Ge array, thereby maximizing the overall Ge-LaBr3(Ce)-LaBr3(Ce) coincidence efficiency.

In this paper, a comprehensive description of the HALIMA detection system is presented, including its detector components, readout electronics, and fully digital data acquisition system. The results of the first experiment using a 252Cf spontaneous fission source are discussed to illustrate the performance of the setup. Section 2 details the detector hardware and data acquisition system. Section 3 describes the data analysis techniques employed for fast-timing measurements across different time ranges. A summary and outlook are provided in Sect. 4.

2

Instruments

An overview of the HALIMA detection system is shown in Fig. 1, which illustrates the arrangement of the HPGe and LaBr3(Ce) detectors, along with the data acquisition setup. The following sections describe the configuration and integration of each component in detail.

Fig. 1
(Color online) (a) Photograph of the HALIMA setup at the Institute of Modern Physics (IMP). Eight HPGe detectors are mounted on the central ring in a horizontal configuration. Two of the three rings of the LaBr3(Ce) detectors are also visible. The digital data acquisition system and high-voltage supply are located behind the array. (b) Technical schematic of the complete HALIMA setup
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2.1
HPGe detectors

The HALIMA setup includes eight n-type coaxial HPGe detectors, each equipped with BGO shielding, mounted on the central ring perpendicular to the fission axis. The crystals of the HPGe detectors are 71 mm in diameter and 72 mm long. The distance between the entrance window of the HPGe detectors and the center of the array is 17.5 cm. Each detector offers a relative efficiency of 70% compared to a standard 3 inches × 3 inches NaI(Tl) detector, with a typical energy resolution of 2.5 keV (FWHM) at 1332 keV. The full-energy peak (FEP) efficiency at 1 MeV was measured as 1.05% using standard 152Eu, 133Ba, and 60Co radioactive sources. The resulting absolute efficiency curves are presented in Fig. 2, along with a fit using the empirical formula described in Ref. [10].

Fig. 2
(Color online) The absolute full energy peak efficiency as a function of γ energy as measured using 152Eu, 133Ba and 60Co γ sources. The red circle represents the FEP of LaBr3(Ce) detectors fitted in red line, while the FEP of HPGe detectors is shown in blue circle fitted in blue line
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Each HPGe detector in the HALIMA setup is surrounded by a BGO anti-Compton shield composed of eight optically isolated BGO crystals, each coupled to a photomultiplier tube (PMT). For each BGO anti-Compton shield, the PMTs are daisy-chained to obtain a single summed output signal. These BGO Compton suppressors significantly reduce the background, providing a suppression of approximately 77% in the 400-800 keV energy range when tested with a 60Co source.

2.2
LaBr3(Ce) detectors

To facilitate the lifetime measurements, 20 individual LaBr3(Ce) detectors were incorporated into the HALIMA setup, all configured identically. Each detector consists of a cylindrical LaBr3(Ce) crystal with a diameter of 2 inches and length of 3 inches, coupled to a Hamamatsu R13089 photomultiplier tube. As shown in Fig. 1, two rings consisting of eight LaBr3(Ce) detectors each have been mounted on both sides of the central ring of HPGe detectors, positioned at angles of 56° and 124° relative to the fission axis. The distance from the detector face to the center of the array is 16.5 cm. Additionally, a third ring composed of four LaBr3(Ce) detectors is mounted on the topmost layer of the array, with each detector located 22 cm from the center and oriented at an angle of 29° with respect to the fission axis. This configuration provides a solid-angle coverage of approximately 13% for an isotropic source located at the center of the array.

Owing to the compact size of LaBr3(Ce) crystals, Compton scattering is significant, resulting in a pronounced Compton continuum that reduces the peak-to-total ratio, particularly for low energy γ rays [11]. To reduce Compton continuums, Régis [12] and Gierlik [13] et al. developed a BGO-based Compton suppressor for a LaBr3(Ce) detector and achieved significant improvements in the peak-to-total ratio [12] and peak-to-Compton ratios [13]. In the present work, a more cost-effective, compact, and novel CsI(Tl)-based anti-Compton shield was developed and installed in the HALIMA setup. Figure 3 shows a technical drawing of a single LaBr3(Ce) detector housed within a CsI(Tl) anti-Compton shield supported by an aluminum shell. Each LaBr3(Ce) detector is enclosed by a CsI(Tl) anti-Compton shield composed of four separated CsI(Tl) crystals. The scintillation signals from these crystals are read out using twenty-eight 6.4 mm × 6.4 mm silicon photomultipliers (SiPMs), with seven SiPMs coupled to each crystal. These signals were summed and read out as a single channel. A comparative study using a calibrated 152Eu source (Fig. 4) demonstrates that the intense Compton background is significantly reduced when the CsI(Tl) anti-Compton shield is applied. A more detailed characterization and performance analysis will be presented in a forthcoming publication.

Fig. 3
(Color online) The technical drawing of three-quarter section of a single module of LaBr3(Ce) detector with CsI(Tl) anti-Compton shields encapsulated within an aluminum shell. The individual LaBr3(Ce) detector is composed of a LaBr3(Ce) crystal (green) coupled to a PMT (purple) surrounded by four CsI(Tl) crystals (yellow). The SiPMs are employed as the readout for CsI(Tl) anti-Compton shields, which are mounted on PCB (blue)
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Fig. 4
(Color online) The energy projection spectra of the symmetric γ-γ coincidence matrix of LaBr3(Ce) detectors obtained using 152Eu standardized source. Compared to the spectrum without CsI(Tl) anti-Compton shields (blue), the background continuums are effectively reduced with the use of CsI(Tl) anti-Compton shields in the energy spectrum (red)
pic

To optimize the time resolution of LaBr3(Ce) detectors in γ-γ coincidence mode, the PMTs of the LaBr3(Ce) detectors were operated at a bias voltage of approximately –1070 V. At this voltage, the 662 keV γ-rays from a 137Cs source produced a uniform output signal amplitude of 200 mV across all detectors. Because the inherent nonlinearity in the energy response of LaBr3(Ce) detectors is largely attributed to the voltage sensitivity of PMTs, a second-order polynomial function was employed for energy calibration. Standard γ-ray sources, 133Ba and 152Eu, were used for this calibration, covering an energy range of 81 keV to 1408 keV. The energy resolution of the LaBr3(Ce) detectors was found to be 2.67% at the 1332 keV line of a 60Co source. The absolute full-energy peak (FEP) efficiency at 1 MeV for the entire LaBr3(Ce) array was measured to be 2.74%. The corresponding absolute efficiency curves along with the fitting results are presented in Fig. 2.

The two primary timing characteristics of the LaBr3(Ce) detector array are the time resolution and time walk. The time resolution was determined from the summed time difference spectra of all pairwise combinations among the 20 LaBr3(Ce) detectors. To achieve this, the individual time spectra were aligned by applying appropriate time shifts to each detector relative to a chosen reference detector, after which the summed time difference spectrum was obtained using 60Co source. The time information was extracted using the TSINC digital algorithm [14] and Constant Fraction Discrimination (CFD). Figure 5 displays the resulting time difference distribution for 20 LaBr3(Ce) detectors with 1173 keV–1332 keV γ-rays of 60Co source. The time resolution is 348.9(2) ps in FWHM, which is comparable to the resolution of FATIMA [2] despite the larger crystal volume of the LaBr3(Ce) detectors used in our setup.

Fig. 5
Time distribution of twenty LaBr3(Ce) detectors in HALIMA from the 1173 keV-1332 keV γ ray cascade of 60Co source. Time resolution for twenty LaBr3(Ce) detectors was fitted by Gaussian function
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To extract lifetimes shorter than the intrinsic time resolution of LaBr3(Ce) detectors to a few picoseconds (ps), it is essential to determine the Prompt Response Difference (PRD) as a function of energy. PRD calibration is used to describe the time walk characteristics using the coincident γ-ray cascade emitted by 152Eu source over the energy range of 200–1400 keV. The PRD was measured using Leading-Edge Discrimination (LED) in conjunction with the TSINC interpolation algorithm [14]. The resulting PRD curve is presented in the top panel of Fig. 6 and was fitted using the following equation:pic(1)From the residuals shown in the lower panel of Fig. 6, the uncertainty in the PRD is estimated to be±5.5 ps. With PRD, the generalized centroid difference (GCD) method [15] can be applied for precise lifetime measurements down to tens of picoseconds (ps). A detailed account of PRD calibration and its application in this setup will be presented in a forthcoming publication.

Fig. 6
The energy-dependent prompt response difference (PRD) curve for LaBr3(Ce) detectors obtained using 152Eu source for the reference energy of 344 keV shown in the top panel. The bottom panel shows the residuals of the PRD calibration function fit as described by Eq. (1) with twice the overall PRD-calibration uncertainty of 11 ps
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2.3
FFs detectors: Solar cells

The detection of fission fragments (FFs) in an intense background dominated by light charged particles remains a major challenge in fission experiments. Solar cells, originally developed for photovoltaic energy conversion, were first introduced by Siegert in 1979 for the detection of FFs at the Institut Laue-Langevin (ILL) facility [16]. Subsequently, Ajitanand et al. demonstrated their radiation hardness during a 252Cf experiment, thereby confirming their suitability for use in high-background environments [17]. Owing to its low cost, flexible geometry and insensitivity to alpha particle, solar cells have been effectively employed in fission detection arrays, such as SAPHIR [18, 19] and DEATH-STAR [20, 21].

In this study, the rise time and pulse height characteristics of three commercially available solar cells were evaluated. Among them, TOPCON-type solar cells were selected as FF detectors because of their high signal amplitude (400–600 mV) and relatively fast rise time (200–800 ns). These solar cells have a thickness of ~ 130 μm and a very small depletion depth (~ 1 μm), making them largely insensitive to light charged particles, such as alpha particles, because of their charge collection mechanism, specifically the funneling mechanism [22]. As illustrated in Fig. 7, the solar cells array, consisting of thirty six 11 mm × 11 mm solar cells, mounted on a printed circuit board (PCB) positioned at the center of HALIMA setup. The raw pulse-height spectrum of the FFs from a 252Cf source detected by a solar cell is shown in Fig. 8. To assess the mass resolution of the TOPCON solar cells, the 2E method [23] which is based on the conservation laws of mass and momentum, was applied using an open 252Cf source. Schmitt calibration [24] was used in this analysis, with the primary equation expressed as:pic(2)where a, a’, b, and b’ are constants using the values in Ref. [25], and E, x, and M represent the energy, pulse height, and mass of the FFs, respectively. Subsequently, an iterative process based on the neutron emission distribution [26] was performed to determine both the pre-neutron and post-neutron mass distributions. The resulting FF mass distribution is presented in Fig. 9 and compared with the data from Ref. [26], demonstrating good agreement. The typical time resolution of solar cells in the present work was approximately 20 ns, using a standard charge-sensitive preamplifier.

Fig. 7
(Color online) Solar cell array used as implantation detectors in the present work. A total of 36 solar cells, each measuring 11 mm × 11 mm, were mounted on a PCB and connected to the signal outputs. The assembled PCB is positioned at the center of the HALIMA setup
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Fig. 8
The raw pulse height spectrum of fission fragments of 252Cf source detected by a solar cell. PH and PL represent the pulse height of heavy and light fragments respectively
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Fig. 9
The mass distribution of fission fragment detected by a solar cell employing Schmitt calibration on the basis of Fig. 7 is depicted in black solid line, while red dashed line represents the mass distribution from [26]. These two distributions are consistent with each other
pic

When solar cells are used as FF detectors in fission experiments, it is essential to evaluate their radiation damage tolerance. For this purpose, a comparative radiation damage test was performed using a 20 mm × 20 mm silicon detector and a solar cell of the same size. Both detectors were placed 8 cm from a 252Cf source with an activity of 100 μCi (3.7 MBq). The variation in the pulse height as a function of the incident flux is shown in Fig. 10. For an integrated flux of approximately 109 particles/cm2, the FFs detected by the solar cell exhibited only a 10%–15% reduction in pulse height, indicating a minor degradation. In contrast, the silicon detector exhibited a complete signal loss, demonstrating its significantly lower radiation tolerance under similar conditions.

Fig. 10
(Color online) Comparison of pulse height response as a function of injection flux between a solar cell and a silicon detector of identical size. The matrix in the top panel shows the amplitude distribution with respect to the particle injection flux detected by the silicon detector, whereas the bottom panel displays the corresponding distribution of the solar cell. Each point along the horizontal axis corresponds to a one-hour integration period of the injection flux. The data point at x = 2.4 corresponds to a measurement lasting only 50 min instead of the full hour, resulting in reduced recorded counts and creating the visible gap in the trend
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2.4
β detectors: Fast plastic scintillators

An auxiliary detector array comprising 36 fast plastic scintillators (11 mm × 11 mm) was integrated into the HALIMA setup for β-particle tagging. Each scintillator, fabricated from EJ-200 plastic scintillator material and 3 mm in thickness, is optically coupled to a Hamamatsu S14160 Multi-Pixel Photon Counter (MPPC) with a sensitive area of 6.4 mm × 6.4 mm. These scintillators and MPPCs were mounted on a PCB, positioned ~ 5 mm downstream from the center of the HALIMA setup. The configuration of β ancillary array is illustrated in Fig. 11. The time resolution of each β detector was measured as 942 ps.

Fig. 11
(Color online) (a) Scintillator module consisting of thirty-six 11 mm × 11 mm scintillators, each coupled to a 6.4 mm × 6.4 mm MPPC, mounted on a PCB. (b) The assembled scintillator module enclosed with aluminized Mylar film
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2.5
Electronics and DAQ system

The electronics and data acquisition (DAQ) system of HALIMA is based on the Pixie-16 system developed by XIA LLC, USA. Energy signals from the HPGe detectors, BGO and CsI(Tl) anti-Compton shields, and solar cells are digitized by 16 channel, 100 MHz, 14-bit modules, while the energy signals from LaBr3(Ce) detectors and β detectors are digitized by 16 channel, 500 MHz, 14-bit modules, wherein the rise time can be accurately measured. The data were recorded using a general-purpose digital data acquisition system (GDDAQ) [27, 28] and operated in a triggerless mode, which means that all live events are recorded without predefined conditions. This triggerless architecture provides significant flexibility in offline data analysis and event reconstruction [29].

To optimize the fast-timing performance of LaBr3(Ce) detectors, particularly the time resolution and time walk, the waveforms of LaBr3(Ce) detectors are recorded on an event-by-event basis for offline analysis. The waveform recording length was set to 0.2 μs, providing sufficient temporal detail for precise timing studies. The high-voltage supply system is segmented into two parts: two CAEN N1470 modules are used to power the HPGe detectors, while three ISEG EHS modules are dedicated to supplying the LaBr3(Ce) detectors, CsI(Tl) anti-Compton shields, and BGO detectors.

3

Commissioning with a 252Cf source

A commissioning measurement was performed using a semi-closed 252Cf source with an activity of 100 μCi. The source was encapsulated with a 50 μg/cm2 Au sputter and mounted on a 0.127 mm thick platinum-clad nickel backing. This configuration ensures that, in each spontaneous fission (SF) event, one fission fragment (FF) recoils into the vacuum chamber, while the complementary FF is absorbed in the backing. Figure 12 illustrates the technical layout of the HALIMA setup in the commissioning phase. The 252Cf source was positioned at the bottom of the vacuum chamber and surrounded by a 40 mm-thick tungsten shield with a cone angle of 18°. This shielding configuration effectively blocks the prompt γ rays emitted from the source during fission. Following fission, the recoiling FF traverses the 8 cm vacuum gap and is detected by the centrally located solar cell array. In this configuration, the solar cells function as implantation detectors, enabling event-by-event correlation between the FFs and their associated γ rays. Because the FFs of different masses possess varying velocities, their time-of-flight (TOF) over the 8 cm path introduces a measurable spread, which can be utilized for isomer selection. By gating the signals from the solar cells, isomer-specific events were effectively selected, and the overwhelming background was significantly suppressed. Approximately 4400 h of data acquisition was completed during this commissioning run, yielding approximately ~ 1.3×1011 fission events.

Fig. 12
(Color online) Semi-sectional technical drawing of the HALIMA setup. The inset in the lower-left corner shows the 252Cf source enclosed in tungsten shielding. The arrangement includes HPGe and LaBr3(Ce) detectors, along with the solar cell and plastic scintillator arrays positioned inside the vacuum chamber
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In the present work, two complementary approaches were employed to measure the lifetimes of the excited states of interest produced by fission, as illustrated in Fig. 13. The first method, as shown in Fig. 13(a), utilizes the FF-Ge-LaBr3(Ce)-LaBr3(Ce) coincidence technique. In this configuration, a fission event is initially detected by the solar cell array, followed by observation of an isomeric decay involving three or more γ rays. The excited state of interest, with the lifetime denoted by τ is fed and decayed via γ2 and γ3, which are detected in coincidence by two LaBr3(Ce) detectors. The preceding transition γ1 is recorded using an HPGe detector. The second approach, as illustrated in Fig. 13(b), involves a β-Ge-LaBr3(Ce)-LaBr3(Ce) coincidence technique based on the fast plastic scintillator array. In this case, γ rays are emitted following β decay of fission fragments, with the triple γ-ray detection configuration remaining similar to that of the first method.

Fig. 13
The principle of two kinds of primary coincidence technique in the present work. (a) Fission fragments-γ1-γ2-γ3 coincidence method: An isomer is implanted into solar cells, followed by isomeric decay with triple or more γ rays. (b) β-γ1-γ2-γ3 coincidence method: A β decay is measured by fast plastic scintillators, followed by a cascade γ ray transition. The feeder (γ2) and decay (γ3) of excited state of interest represented by τ (orange) are detected by LaBr3(Ce), while the precursor transition (γ1) is measured by HPGe
pic

Prior to the coincidence analysis, the time alignment of all detectors was performed relative to a reference LaBr3(Ce) detector to ensure precise timing. Based on this preliminary data analysis, the FFs selectivity was validated by comparing γ-ray spectra gated with and without FF detection. This comparison clearly demonstrates the advantage of FF gating in terms of significant background suppression and improved peak-to-background ratio. The lifetimes of the three excited states ranging from a few picoseconds to several hundred nanoseconds were determined by implementing distinct coincidence and lifetime extraction methods. The extracted values showed good agreement with the literature data, confirming the capability of the HALIMA setup to perform precise lifetime measurements over a broad temporal range.

3.1
Time alignment

Owing to variations in electronics, cable lengths, and the use of digitizer cards with different sampling frequencies and bit resolutions, each detector type within the HALIMA setup exhibited a unique timing offset. These offsets lead to misalignments in the time distributions of the detectors when referenced to the reference LaBr3(Ce) detector. To correct this, the timing information, including the initial timestamp and the timing information provided by the CFD filter algorithm, is extracted, allowing for the implementation of time alignment for each detector on a run-by-run basis. For each detector, the relative time difference with respect to the reference LaBr3(Ce) detector was determined by performing a Gaussian fit of the time distribution. The centroid of each distribution was then shifted to 0 ns to achieve synchronization. Figure 14 shows the time difference as a function of the detector ID matrices before and after time alignment. Each unit on the horizontal axis represents individual detector IDs with the HPGe detectors, solar cells, LaBr3(Ce) detectors, and fast plastic scintillators represented by IDs 0-7, 8-43, 44-55 and 60-67, 56-59 and 68-99, respectively. As illustrated in Fig. 14(a), the centroids of the time distributions are scattered owing to inherent offsets. After applying the alignment procedure, all the time distributions were successfully centered at approximately 0 ns, as shown in Fig. 14(b), indicating a uniform timing response across all detectors in the array.

Fig. 14
(Color online) Time alignment matrices before (top panel) and after (bottom panel) time correction. The horizontal axis denotes the detector ID number, whereas the vertical axis shows the time difference between each detector and the reference LaBr3(Ce) detector. Detector IDs 0-7 correspond to HPGe detectors; IDs 8-43 to solar cells; IDs 44-55 and 60-67 to LaBr3(Ce) detectors, and IDs 56-59 and 68-100 to fast plastic scintillators. For detectors with ID = 68-82, the peaks before time alignment are located at 200-300 ns and are not visible here due to the vertical axis being limited to ± 100 ns for clearer visualization of the alignment effect
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3.2
Validation of FFs Selectivity

The γ-ray spectrum originating from the spontaneous fission of 252Cf is notably complex owing to the presence of emission lines from hundreds of neutron-rich fission fragments. To enhance the selectivity of γ-ray events and suppress the background, the HALIMA setup utilizes a solar cell array to detect fission fragments (FFs), which are then used as triggers for implementing FF-γ coincidence measurements. To evaluate the improvement in selectivity, HPGe-HPGe coincidence spectra were generated under different gating conditions and compared, as shown in Fig. 15. Figure 15(a) shows the HPGe coincidence spectrum of Ge-Ge double events, which were generated using a Ge gate on the 314 keV transition. The γ rays originating from both the isomeric decay and β decay are shown in the spectrum. In contrast, Fig. 15(b) shows the coincidence spectrum obtained by applying an additional gate on the solar cells, thereby selecting events correlated with fission fragments. Under these conditions, the isomeric state (19/2-, 10 ns) in 137Xe was selectively tagged, and its subsequent γ-ray transitions were prominently visible. As a result, unwanted γ rays from β-decay processes are effectively suppressed, yielding a significantly cleaner spectrum dominated by the 400 keV and 1220 keV transitions.

Fig. 15
Energy projection spectra of HPGe detectors using (top) HPGe-HPGe and (bottom) HPGe-HPGe-solar coincidence techniques. The application of an additional gate on solar cells in the bottom panel effectively suppresses contaminant γ rays, resulting in a cleaner spectrum
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Beyond its role in enhancing isomer selectivity, gating on FFs offers a significant advantage in suppressing the Compton background, which is particularly critical in fast-timing measurements using LaBr3(Ce)-LaBr3(Ce) coincidences. In such measurements, the background beneath the full energy peaks can introduce considerable uncertainties, thereby diminishing the precision of lifetime extraction. Furthermore, scattered γ rays originating primarily from neutron-induced inelastic scattering and Compton scattering of prompt γ-rays within the surrounding components of the HALIMA setup substantially contribute to the background in the LaBr3(Ce) spectra. By utilizing the FF selectivity, this intense background is reduced, thereby improving the peak-to-background ratio. To quantify the performance of this selectivity, a comparative analysis was conducted for the nucleus 134Te and LaBr3(Ce)-LaBr3(Ce) coincidence spectra were obtained under different gating conditions. In Fig. 16, the LaBr3(Ce) coincidence spectrum was obtained by using a double gate on both 115 and 297 keV, respectively, for Ge and LaBr3(Ce). The peak-to-background ratio obtained for the energy width corresponding to the full width at half maximum of 1279 keV was measured to be 1.6, as shown in the inset of Fig. 16. Upon applying an additional gate on the solar cell signals (gating on FFs), a noticeable reduction in the background, particularly below 600 keV, was observed. Under this condition, the P/B ratio for the 1279 keV peak increased substantially to 4.3. The third case is the LaBr3(Ce) coincidence spectrum employing an additional gate on a specific mass of 134Te. Compared to the Ge-LaBr3(Ce)-LaBr3(Ce) coincidence events, the background in the LaBr3(Ce) spectrum were further suppressed, resulting in a more than fourfold improvement in the P/B ratio.

Fig. 16
The energy projection spectra of LaBr3(Ce) demonstrated in three different coincidence methods: (1) Ge-LaBr3(Ce)-LaBr3(Ce) (blue); (2) Ge-LaBr3(Ce)-LaBr3(Ce)-solar (red); (3) Ge-LaBr3(Ce)-LaBr3(Ce)-Msolar (black), where Msolar denotes a gate on specific mass of FFs. The 1279 keV are shown in the inset. The peak-to-background ratio of 1279 keV was measured under these conditions. With gating on specific mass of 134Te, the peak-to-background ratio of 1279 keV is increased by more than a factor of 4
pic

It should be emphasized that the 252Cf source employed in the present work is a semi-closed source, disabling the employment of the 2E method for determining the masses of FFs detected by solar cells. Therefore, an alternative approach known as the M-V method [30] was exploited, where M and V are the mass and velocity of the FFs, respectively. This method is based on the conservation laws of mass and momentum. Combing the Eq. 2 and the following formulas:pic(3)pic(4)The velocity distribution as a function of mass was determined using an open 252Cf source developed by the self-transfer technique [31]. The post-neutron mass distribution can then be obtained using an iterative process. Using this method, a mass resolution of approximately 7 atomic mass units (u) (FWHM) was achieved.

3.3
Preliminary results

This subsection presents the lifetime measurements of the three nuclear excited states, ranging from a few picoseconds to several hundred nanoseconds. Specifically, the lifetimes of the two isomers in 134Te and 138Ba were measured using FFs-Ge-Ge/FFs-LaBr3(Ce)-LaBr3(Ce) and β-Ge-LaBr3(Ce)-LaBr3(Ce) coincidence techniques. Additionally, the lifetime of an excited state in 132Te was extracted using the Generalized Centroid Difference (GCD) method based on FFs-Ge-LaBr3(Ce)-LaBr3(Ce) coincidences. The measured lifetimes were in good agreement with previously reported values, validating the reliability of the experimental techniques and analysis methods employed in the present work.

In the case of 134Te, the 6+ state was identified as a relatively long-lived isomer [32]. As illustrated in Fig. 17, the FFs-Ge-Ge and FFs-LaBr3(Ce)-LaBr3(Ce) coincidence techniques were employed to measure its lifetime. The time difference spectra of both HPGe and LaBr3(Ce) were obtained using a Ge/LaBr3(Ce) gate for both 115 and 297 keV transitions. The coincidence time windows between two γ rays were set to ± 200 ns for Ge-Ge and ± 4 ns for LaBr3(Ce)-LaBr3(Ce), respectively. Using the slope method, the extracted lifetimes were determined to be 164.04(95) ns from the FFs-Ge-Ge data and 164.7(7) ns from the FFs-LaBr3(Ce)-LaBr3(Ce) data. Both values are in excellent agreement with the previously reported value of 164.1(9) ns [32].

Fig. 17
Delayed coincidence time difference spectra of 6+ state in 134Te obtained using FFs-γ-γ coincidence method: (a) FFs-HPGe-HPGe; (b) FFs-LaBr3(Ce)-LaBr3(Ce). The half-lives were extracted by exponential fitting to the slope and determined to be 164.04(95) ns and 164.7(7) ns, respectively
pic

The primary objective of the present work was to measure the sub-nanosecond lifetimes of the nuclear excited states. In the case of 138Ba, the 4+ state was identified as a short-lived isomer [33] and its lifetime was determined using the β-Ge-LaBr3(Ce)-LaBr3(Ce) coincidence technique. The coincidence time window for detecting the feeder (547 keV) and decay (463 keV) γ-ray transitions with LaBr3(Ce) detectors was set to ± 4 ns, whereas the third γ-ray detected by HPGe was gated on the 1436 keV transition. The coincidence time windows between β and triple γ rays were determined based on the correlated prompt time difference distribution. The γ-γ coincidence matrix from LaBr3(Ce) is shown in the top panel of Fig. 18. This matrix clearly reveals 463 keV and 547 keV transition, confirming the correlated decay pathway of the 4+ state in 138Ba. The time difference spectrum was obtained using an LaBr3(Ce) gate at 463 keV and another LaBr3(Ce) gate at 547 keV, as illustrated in the bottom panel of Fig. 18. A convolution function consisting of Gaussian and exponential distributions was used to fit the time distribution. The extracted half-life of the 4+ state in 138Ba was found to be 2.02(9) ns, which is in good agreement with the previously reported value of 2.08(6) ns [33].

Fig. 18
(Color online) Top panel: γ-γ coincidence matrix of LaBr3(Ce) detectors obtained using the β-HPGe-LaBr3(Ce)-LaBr3(Ce) coincidence technique. Bottom panel: Time difference spectrum for the 4+ state of 138Ba. The half-life was determined to be 2.02(9) ns using convolution method
pic

The Generalized Centroid Difference (GCD) method provides a more suitable approach for excited states with lifetimes shorter than the intrinsic time resolution of LaBr3(Ce) detectors. The lifetime of the state of 132Te was determined to be 5(3) ps by implementing γ-γ fast timing methods based on a mass separator [34]. In the present study, this short-lived excited state was measured using the M(FFs)-γ-γ-γ coincidence technique, where M(FFs) refers to gating on the known mass of 132Te. The top panel of Fig. 19 presents the γ-γ coincidence matrix of LaBr3(Ce) after background subtraction using HPGe gates on the 103 keV and 151 keV transitions and background gates on either side of the peaks. A strong correlation was observed between the 974 keV and 697 keV transitions. In the GCD method, the centroid difference between the delayed and anti-delayed time distributions is measured. The delayed and anti-delayed time difference spectra for state of 132Te are presented in the bottom panel of Fig. 19. The time distribution in blue line is “Delayed”, corresponds to the start detector is gated on 697 keV (feeder) and the stop detector is gated on 974 keV (decay). Conversely, the red line represents the “Anti-delayed” distribution with the stop detector gated at 697 keV (feeder) and the start detector gated at 974 keV (decay). The background-corrected centroid difference between “Delayed” and “Anti-delayed” was measured to be -769(12) ps. The lifetime was calculated using the following formula:pic(5)The lifetime was determined to be 9(7) ps, which is in agreement with the values of 5(3) ps in Ref. [34] and 2.15 ps in Ref. [35]. Although the uncertainty in the present measurement is somewhat larger, this is likely attributable to the absence of precise positional calibration among the 36 solar cells used for fission fragment detection. Minor spatial misalignments between the solar cells and the 252Cf source may have introduced additional timing uncertainties, thus affecting the precision of centroid determination. Nonetheless, the close agreement with earlier results validates the reliability of the HALIMA setup and demonstrates its capability to perform accurate sub-nanosecond lifetime measurements in complex fission environments.

Fig. 19
(Color online) The γ-γ coincidence matrix of LaBr3(Ce) obtained using M(FFs)-γ-γ-γ coincidence technique shown in the top panel. The bottom panel shows the time difference distributions for the delayed and anti-delayed of states of the 132Te. The mean lifetime was determined to be 9(7) ps using the Generalized Centroid Difference (GCD) method, consistent with the literature value of 5(3) ps [34]
pic
4

Summary

A novel hybrid detection system, named HALIMA, was developed and installed at the Institute of Modern Physics to facilitate the measurement of the sub-nanosecond lifetimes of neutron-rich nuclei produced via fission. This system is composed of eight BGO-shielded HPGe detectors and 20 fast LaBr3(Ce) detectors, each shielded with CsI(Tl), offering high-resolution γ-ray energy and timing capabilities. To enhance event selectivity, two specialized ancillary detector arrays were incorporated: a solar cell detector array for detecting fission fragments (FFs) and a fast plastic scintillator array for β-particle detection. These additions enable advanced coincidence techniques, such as FFs/β-Ge-LaBr3(Ce)-LaBr3(Ce), significantly improving the spectral quality and peak-to-background, thereby allowing precise lifetime measurements. In particular, the implementation of FF gating proved critical in isolating γ-ray cascades of interest by effectively suppressing background contributions from unrelated fission products and β decays. This additional selectivity not only reduced the intense background but also improved the peak-to-background ratio by more than a factor of four, thereby increasing the accuracy of the lifetime measurements. A comprehensive overview of HALIMAs components has been provided, detailing the energy and timing performance of the detectors, the data acquisition (DAQ) system, and the associated electronics architecture.

A commissioning experiment using a 252Cf source was conducted to validate the performance of the HALIMA setup. By applying combined gating to FFs and fast plastic scintillators, the lifetimes of three excited nuclear states in 134Te, 138Ba, and 132Te were measured, covering a range from a few picoseconds to several hundred nanoseconds. The results were in good agreement with the literature values, demonstrating the capability and precision of the HALIMA setup. Furthermore, several excited states with previously unmeasured lifetimes produced by 252Cf fission were identified for the first time, thereby opening new avenues for nuclear structure studies of neutron-rich nuclei.

Looking ahead, the HALIMA system will be used not only to measure the lifetimes of excited states following isomeric or β decay, but also for the lifetimes of prompt γ rays directly emitted by the FFs of 252Cf, and the source will be placed at the center of the HALIMA array without shielding. To enhance the mass resolution of fission fragments, new ancillary detectors based on Silicon Carbide (SiC) are being developed as next-generation fission detectors. With its advanced detection capabilities, HALIMA will significantly contribute to the systematic study of neutron-rich nuclei produced via neutron-induced fission, extending our understanding of nuclear structures in regions far from stability.

References
1.J.-M. Régis, L.M. Fraile, M. Rudigier,

γ-γ fast timing with high-performance LaBr3(Ce) scintillators

. Prog. Part. Nucl. Phys. 141, 104152 2025). https://doi.org/10.1016/j.ppnp.2024.104152
Baidu ScholarGoogle Scholar
2.M. Rudigier, Zs. Podolyák, P.H. Regan et al.,

FATIMA — FAst TIMing array for DESPEC at FAIR

. Nucl. Instrum. Meth. Phys. Res. Sect. A 969, 163967 2020). https://doi.org/10.1016/j.nima.2020.163967
Baidu ScholarGoogle Scholar
3.B. Moon, J. Lee, Y. Jang et al.,

New fast-timing γ-ray detection system in Korea: KHALA

. Nucl. Instrum. Meth. Phys. Res. Sect. B 541, 253256 2023). https://doi.org/10.1016/j.nimb.2023.05.035
Baidu ScholarGoogle Scholar
4.V. Piau, A. Göök, S. Oberstedt et al.,

Characterization of isomers produced by the spontaneous fission of 252Cf with the VESPA setup

. Euro. Phys. J. A 61, 5 2025). https://doi.org/10.1140/epja/s10050-024-01470-9
Baidu ScholarGoogle Scholar
5.J.-M. Régis, G.S. Simpson, A. Blanc et al.,

Germanium-gated γ–γ fast timing of excited states in fission fragments using the EXILL & FATIMA spectrometer

. Nucl. Instrum. Meth. Phys. Res. Sect. A 763, 210220 2014). https://doi.org/10.1016/j.nima.2014.06.004
Baidu ScholarGoogle Scholar
6.M. Lebois, N. Jovančević, D. Thisse et al.,

The ν-ball γ-spectrometer

. Nucl. Instrum. Meth. Phys. Res. Sect. A 960, 163580 2020). https://doi.org/10.1016/j.nima.2020.163580
Baidu ScholarGoogle Scholar
7.E.R. Gamba, A.M. Bruce, M. Rudigier et al.,

Treatment of background in γ- γ fast-timing measurements

. Nucl. Instrum. Meth. Phys. Res. Sect. A 928, 93-103 2019). https://doi.org/10.1016/j.nima.2019.03.028
Baidu ScholarGoogle Scholar
8.F. Kandzia, G. Belier, C. Michelagnoli et al.,

Development of a liquid scintillator based active fission target for FIPPS

. Europ. Phys. J. A 56, 207 2020). https://doi.org/10.1140/epja/s10050-020-00201-0
Baidu ScholarGoogle Scholar
9.G.S. Simpson, W. Urban, K. Sieja et al.,

Near-yrast, medium-spin, excited states of 91Rb, 93Rb, and 95Rb

. Phys. Rev. C 82, 024302 2010). https://doi.org/10.1103/PhysRevC.82.024302
Baidu ScholarGoogle Scholar
10.D.C. Radford,

ESCL8R and LEVIT8R: Software for interactive graphical analysis of HPGe coincidence data sets

. Nucl. Instrum. Meth. Phys. Res. Sect. A 361, 297-305 1995). https://doi.org/10.1016/0168-9002(95)00183-2
Baidu ScholarGoogle Scholar
11.R. Britton, J.L. Burnett, A.V. Davies et al.,

Improving the effectiveness of a low-energy Compton suppression system

. Nucl. Instrum. Meth. Phys. Res. Sect. A 729, 64-68 2013). https://doi.org/10.1016/j.nima.2013.06.111
Baidu ScholarGoogle Scholar
12.S. Aogaki, D.L. Balabanski, R. Borcea et al.,

A setup for high-energy γ-ray spectroscopy with the ELI-NP large-volume LaBr3:Ce and CeBr3 detectors at the 9 MV Tandem accelerator at IFIN-HH

. Nucl. Instrum. Meth. Phys. Res. Sect. A 1056, 168628 2023). https://doi.org/10.1016/j.nima.2023.168628
Baidu ScholarGoogle Scholar
13.M. Gierlik, S. Borsuk, Z. Guzik et al.,

Application of the anti-Compton detector in neutron activation analysis techniques

. Nucl. Instrum. Meth. Phys. Res. Sect. A 788, 54-58 2015). https://doi.org/10.1016/j.nima.2015.03.051
Baidu ScholarGoogle Scholar
14.W. K. Warburton, W. Hennig,

New algorithms for improved digital pulse arrival timing with sub-GSps ADCs

. IEEE Trans. Nucl. Sci. 64, 29382950 2017). https://doi.org/10.1109/TNS.2017.2766074
Baidu ScholarGoogle Scholar
15.J.-M. Régis, H. Mach, G.S. Simpson et al.,

The generalized centroid difference method for picosecond sensitive determination of lifetimes of nuclear excited states using large fast-timing arrays

. Nucl. Instrum. Meth. Phys. Res. Sect. A 726, 191202 2013). https://doi.org/10.1016/j.nima.2013.05.126
Baidu ScholarGoogle Scholar
16.G. Siegert,

Photovoltaic cells as fission product detectors

. Nucl. Instrum. Meth. 164, 437438 1979). https://doi.org/10.1016/0029-554X(79)90076-4
Baidu ScholarGoogle Scholar
17.N.N. Ajitanand, R.P. Anand, S.R.S. Murthy et al.,

The photovoltaic cell — an eminent fission fragment detector

. Nucl. Instrum. Meth. Phys. Res. Sect. A 300, 354356 1991). https://doi.org/10.1016/0168-9002(91)90448-Y
Baidu ScholarGoogle Scholar
18.A.G. Smith, R.M. Wall, D. Patel et al.,

Lifetimes of yrast rotational states of the fission fragments 100Zr and 104Mo measured using a differential plunger

. J. Phys. G Nucl. Part. Phys. 28, 2307 2002). https://doi.org/10.1088/0954-3899/28/8/316
Baidu ScholarGoogle Scholar
19.C. Gautherin, M. Houry, W. Korten et al.,

New isomeric states in 152Nd,154Nd,156Nd produced by spontaneous fission of Cf-252

. Europ. Phys. J. A 1, 391-397 1998). https://doi.org/10.1007/s100500050074
Baidu ScholarGoogle Scholar
20.R. Pérez Sánchez, B. Jurado, P. Marini et al.,

Experimental set-up for the simultaneous measurement of fission and γ-emission probabilities induced by transfer or inelastic-scattering reactions

. Nucl. Instrum. Meth. Phys. Res. Sect. A 933, 63-70 2019). https://doi.org/10.1016/j.nima.2019.04.084
Baidu ScholarGoogle Scholar
21.J.D. Koglin, J.T. Harke, S.E. Fisher et al.,

DEATH-STAR: Silicon and photovoltaic fission fragment detector arrays for light-ion induced fission correlation studies

. Nucl. Instrum. Meth. Phys. Res. Sect. A 854, 64-69 2017). https://doi.org/10.1016/j.nima.2017.02.054
Baidu ScholarGoogle Scholar
22.S. Boorboor, S.A.H. Feghhi, H. Jafari,

Funneling effect of alpha particles on the charge collection efficiency in N type silicon surface barrier detector

. Nucl. Instrum. Meth. Phys. Res. Sect. B 325, 1-4 2014). https://doi.org/10.1016/j.nimb.2014.01.020
Baidu ScholarGoogle Scholar
23.C. Budtz-Jørgensen, H.-H. Knitter, Ch. Straede et al.,

A twin ionization chamber for fission fragment detection

. Nucl. Instrum. Meth. Phys. Res. Sect. A 258, 209-220 1987). https://doi.org/10.1016/0168-9002(87)90058-1
Baidu ScholarGoogle Scholar
24.H.W. Schmitt, W.E. Kiker, C.W. Williams,

Precision measurements of correlated energies and velocities of 252Cf fission fragments

. Phys. Rev. 137, B837B847 1965). https://doi.org/10.1103/PhysRev.137.B837
Baidu ScholarGoogle Scholar
25.E. Weissenberger, P. Geltenbort, A. Oed et al.,

Energy calibration of surface barrier detectors for fission fragments

. Nucl. Instrum. Meth. Phys. Res. Sect. A 248, 506-515 1986). https://doi.org/10.1016/0168-9002(86)91041-7
Baidu ScholarGoogle Scholar
26.A. Göök, F.-J. Hambsch, M. Vidali,

Prompt neutron multiplicity in correlation with fragments from spontaneous fission of 252Cf

. Phys. Rev. C 90, 064611 2014). https://doi.org/10.1103/PhysRevC.90.064611
Baidu ScholarGoogle Scholar
27.H.Y. Wu, Z.H. Li, H. Tan et al.,

A general-purpose digital data acquisition system (GDDAQ) at Peking University

. Nucl. Instrum. Meth. Phys. Res. Sect. A 975, 164200 2020). https://doi.org/10.1016/j.nima.2020.164200
Baidu ScholarGoogle Scholar
28.D.W. Luo, H.Y. Wu, Z.H. Li et al.,

Performance of digital data acquisition system in gamma-ray spectroscopy

. Nucl. Sci. Tech. 32, 79 2021). https://doi.org/10.1007/s41365-021-00917-8
Baidu ScholarGoogle Scholar
29.S. Das, S. Samanta, R. Banik et al.,

A Compton suppressed detector multiplicity trigger based digital DAQ for gamma-ray spectroscopy

. Nucl. Instrum. Meth. Phys. Res. Sect. A 893, 138-145 2018). https://doi.org/10.1016/j.nima.2018.03.035
Baidu ScholarGoogle Scholar
30.S. L. Whetstone,

Coincident Time-of-Flight Measurements of the Velocities of 252Cf Fission Fragments

. Phys. Rev. 131, 12321243 1963). https://doi.org/10.1103/PhysRev.131.1232
Baidu ScholarGoogle Scholar
31.H. L. Adair, P. R. Kuehn,

Preparation of 252Cf neutron and fission-fragment sources

. Nucl. Instrum. Meth. 114, 327-332 1974). https://doi.org/10.1016/0029-554X(74)90551-5
Baidu ScholarGoogle Scholar
32.G. Häfner, R. Lozeva, H. Naïdja et al.,

First lifetime investigations of N > 82 iodine isotopes: The quest for collectivity

. Phys. Rev. C 104, 014316 2021). https://doi.org/10.1103/PhysRevC.104.014316
Baidu ScholarGoogle Scholar
33.B. Roussière, M. A. Cardona, I. Deloncle et al.,

Half-life measurements of 137, 139Cs excited nuclear states

. Europ. Phys. J. A 47, 106 2011). https://doi.org/10.1140/epja/i2011-11106-4
Baidu ScholarGoogle Scholar
34.D. Kumar, T. Bhattacharjee, S. S. Alam et al.,

Lifetimes and transition probabilities for low-lying yrast levels in 130,132Te

. Phys. Rev. C 106, 034306 2022). https://doi.org/10.1103/PhysRevC.106.034306
Baidu ScholarGoogle Scholar
35.M. Danchev, G. Rainovski, N. Pietralla et al.,

One-phonon isovector 21,MS+ state in the neutron-rich nucleus 132Te

. Phys. Rev. C 84, 061306 2011). https://doi.org/10.1103/PhysRevC.84.061306
Baidu ScholarGoogle Scholar
Footnote

The authors declare that they have no competing interests.