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Spectroscopic factors of resonance states with the Gamow shell model

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Abstract

We provide an investigation of the spectroscopic factor of resonance states in A=5–8 nuclei, utilizing the Gamow shell model (GSM). Within the GSM, the configuration mixing is taken into account exactly with the shell model framework, and the continuum coupling is addressed via the complex-energy Berggren ensemble, which treats bound, resonance, and non-resonant continuum single-particle states on an equal footing. As a result, both the configuration mixing and continuum coupling are meticulously considered in the GSM. We first calculate the low-lying states of helium isotopes and isotones with the GSM, and the results are compared with that of ab initio no-core shell model (NCSM) calculations. The results indicate that GSM can reproduce the low-lying resonance states more accurately than the NCSM. Following this, we delve into the spectroscopic factors of the resonance states as computed through both GSM and NCSM, concurrently conducting systematic calculations of overlap functions pertinent to these resonance states. Finally, the calculated overlap function and spectroscopic factor of 6He(0 +1 ) ⊗vp3/2 → 7He(3/2 −1 ) with GSM are compared with the results from ab initio NCSM, variational Monte Carlo, and Green’s function Monte Carlo calculations, as well as available experimental data. The results assert that wave function asymptotes can only be reproduced in GSM, where resonance and continuum coupling are precisely addressed.

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Authors and Affiliations

  1. CAS Key Laboratory of High Precision Nuclear Spectroscopy, Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, 730000, China

    Mengran Xie, Jianguo Li, Nicolas Michel, Honghui Li & Wei Zuo

  2. School of Nuclear Science and Technology, University of Chinese Academy of Sciences, Beijing, 100049, China

    Mengran Xie, Jianguo Li, Nicolas Michel, Honghui Li & Wei Zuo

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  1. Mengran Xie
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  2. Jianguo Li
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Conflict of interest The authors declare that they have no conflict of interest.

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This work was supported by the National Natural Science Foundation of China (Grant Nos. 12205340, 12175281, and 11975282), the Gansu Natural Science Foundation (Grant No. 22JR5RA123), the Strategic Priority Research Program of Chinese Academy of Sciences (Grant No. XDB34000000), the Key Research Program of the Chinese Academy of Sciences (Grant No. XDPB15), and the State Key Laboratory of Nuclear Physics and Technology, Peking University (Grant No. NPT2020KFY13). This research was made possible by using the computing resources of Gansu Advanced Computing Center.

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Xie, M., Li, J., Michel, N. et al. Spectroscopic factors of resonance states with the Gamow shell model. Sci. China Phys. Mech. Astron. 67, 212011 (2024). https://doi.org/10.1007/s11433-023-2227-5

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