Application of the Woods-Saxon potential in studying quadrupole and octupole excited states using machine learning  

作　　者：Hadi Sobhani Yan-An Luo Hadi Sobhani;罗延安

机构地区：[1]School of Physics,Nankai University,Tianjin 300071,China

出　　处：《Chinese Physics C》2025年第4期152-163,共12页中国物理C(英文版)

基　　金：Supported by the Natural Science Foundation of China(12275141);the Natural Science Foundation of Tianjin,China(20JCYBJC01510)。

摘　　要：this study,the energy bands of quadrupole and octupole excited states are investigated.This is achieved by employing the Bohr Hamiltonian,incorporating quadrupole and octupole deformations whose variables are accurately separated.Subsequently,the Woods-Saxon potential is added to the problem.Because this problem cannot yield suitable solutions using conventional approximations,we solve it numerically using machine learning.A detailed description is given of how wave functions and their associated energies are obtained.Throughout this procedure,we demonstrate how machine learning aids us in easily accomplishing our objective.We examine and analyze the energy spectrum and possible multipole transitions for candidate isotopes^(226)Ra and^(226)Th.

关 键 词：quadrupole and octupole excited states Bohr Hamiltonian Woods-Saxon potential machine learning method 

分 类 号：O571.5[理学—粒子物理与原子核物理]