Spectroscopic factors of resonance states with the Gamow shell model  

作　　者：Mengran Xie Jianguo Li Nicolas Michel Honghui Li Wei Zuo 

机构地区：[1]CAS Key Laboratory of High Precision Nuclear Spectroscopy,Institute of Modern Physics,Chinese Academy of Sciences,Lanzhou 730000,China [2]School of Nuclear Science and Technology,University of Chinese Academy of Sciences,Beijing 100049,China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2024年第1期38-45,共8页中国科学：物理学、力学、天文学（英文版）

基　　金：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);the State Key Laboratory of Nuclear Physics and Technology;Peking University(Grant No.NPT2020KFY13)。

摘　　要：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 of6He(01+)■νp3/2→^(7)He(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.

关 键 词：spectroscopic factor overlap function resonance states continuum coupling isospin symmetry breaking 

分 类 号：O433[机械工程—光学工程]