摘要
本文发展了第一性原理Gamow壳模型,并已经成功地用于描述滴线区原子核。该方法从现实核力出发,在Berggren基矢空间开展壳模型计算。由于Berggren基矢包含束缚态、共振态和散射连续态,所以Gamow壳模型可以很好处理连续谱耦合问题。在复动量平面,用多体微扰理论(即所谓的Q-box折叠图)导得价空间哈密顿量,然后进行含共振和连续谱耦合的壳模型计算。这样的第一性原理计算能够很好描述滴线区原子核的弱束缚特性和滴线外原子核的非束缚共振性质。本文综述了该方法在理论和技术层面的发展。作为计算例子,讨论了氧同位素及其镜像核之间的对称性破缺问题,分析了连续谱耦合效应对丰中子碳同位素激发能谱的重要影响。
We developed a Gamow shell model based on first principles and successfully applied it to the nuclei around driplines.Herein,we review the theoretical and technical developments of this method.Starting from the realistic nuclear forces,the model uses the Berggren basis,which contains bound,resonant,and scattering continuum states.Therefore,the Gamow shell model can handle the coupling to the continuum.In the complex-momentum plane,we used many-body perturbation theory(i.e.,so-called Q-box folded diagrams)to derive the Hamiltonian for the valence space.Subsequently,the shell-model calculations,which included the resonance and continuum effects,were performed.Therefore,such ab initio calculations can describe the weakly bound properties of nuclei near driplines and unbound resonance properties of nuclei beyond driplines.In this study,the symmetry breaking between oxygen isotopes and their mirror nuclei is discussed,and the important continuum effects on the excitation spectra of neutron-rich carbon isotopes are analyzed.
作者
张爽
耿一方
许甫荣
ZHANG Shuang;GENG Yifang;XU Furong(State Key Laboratory of Nuclear Physics and Technology,School of Physics,Peking University,Beijing 100871,China)
出处
《核技术》
CAS
CSCD
北大核心
2023年第8期114-121,共8页
Nuclear Techniques
基金
国家重点研发计划(No.2018YFA0404401)
国家自然科学基金(No.11835001,No.11921006,No.12035001,No.12105106)资助。
