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 mod...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.展开更多
Ab initio approaches are among the most advanced models to solve the nuclear many-body problem.In particular,the no-core-shell model and many-body perturbation theory have been recently extended to the Gamow shell mod...Ab initio approaches are among the most advanced models to solve the nuclear many-body problem.In particular,the no-core-shell model and many-body perturbation theory have been recently extended to the Gamow shell model framework,where the harmonic oscillator basis is replaced by a basis bearing bound,resonance and scattering states,i.e.the Berggren basis.As continuum coupling is included at basis level and as configuration mixing takes care of internucleon correlations,halo and resonance nuclei can be properly described with the Gamow shell model.The development of the no-core Gamow shell model and the introduction of the■-box method in the Gamow shell model,as well as their first ab initio applications,will be reviewed in this paper.Peculiarities compared to models using harmonic oscillator bases will be shortly described.The current power and limitations of ab initio Gamow shell model will also be discussed,as well as its potential for future applications.展开更多
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)+3 种基金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 TechnologyPeking University(Grant No.NPT2020KFY13)。
文摘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.
基金supported by the National Natural Science Foundation of China under Grants No.12175281,11835001,11921006,12035001,and 11975282the State Key Laboratory of Nuclear Physics and Technology,Peking University under Grant No.NPT2020ZZ01 and NPT2020KFY13+3 种基金the National Key R&D Program of China under Grant No.2018YFA0404401the Strategic Priority Research Program of Chinese Academy of Sciences under Grant No.XDB34000000the Key Research Program of the Chinese Academy of Sciences under Grant No.XDPB15the CUSTIPEN(China-U.S.Theory Institute for Physics with Exotic Nuclei)funded by the U.S.Department of Energy,Office of Science under Grant No.desc0009971
文摘Ab initio approaches are among the most advanced models to solve the nuclear many-body problem.In particular,the no-core-shell model and many-body perturbation theory have been recently extended to the Gamow shell model framework,where the harmonic oscillator basis is replaced by a basis bearing bound,resonance and scattering states,i.e.the Berggren basis.As continuum coupling is included at basis level and as configuration mixing takes care of internucleon correlations,halo and resonance nuclei can be properly described with the Gamow shell model.The development of the no-core Gamow shell model and the introduction of the■-box method in the Gamow shell model,as well as their first ab initio applications,will be reviewed in this paper.Peculiarities compared to models using harmonic oscillator bases will be shortly described.The current power and limitations of ab initio Gamow shell model will also be discussed,as well as its potential for future applications.
