Davidson base as an appropriate base for the shell model in the case of 1p- and 1h- nuclei  

作　　者：Hadi Sobhani Yan-An Luo Amir Jalili Hassan Hassanabadi 

机构地区：[1]School of Physics,Nankai University,Tianjin 300071,China [2]Department of Physics,Zhejiang Sci-Tech University,Hangzhou 310018,China [3]Institute of Theoretical Physics,Faculty of Physics,University of Warsaw,ul.Pasteura5,PL-02-093 Warsaw,Poland [4]Institute of Actuarial Science and Data Analytics,UCSI University,Cheras,56000,Malaysia

出　　处：《Communications in Theoretical Physics》2024年第10期92-98,共7页理论物理通讯（英文版）

基　　金：supported by the Natural Science Foundation of China (12275141, 12250410254);Natural Science Foundation of Tianjin (20JCYBJC01510);the ZSTU intramural grant (Grant No. 23062211-Y)。

摘　　要：This study endeavors to develop an improved set of basis functions for nuclear shell-model calculations. The shell model, a well-established approach to understanding nuclear structure,typically employs the harmonic oscillator potential within the mean-field approximation. Given the extensive validation and consistency of harmonic oscillator results with experimental data,we propose a modification by incorporating a centrifugal term that converges toward the Davidson potential. This potential has been extensively studied, and we aim to extract relevant experimental data for the simplest cases in the shell model, namely one-particle and one-hole nuclei. A comprehensive comparison between the Davidson-based results and the harmonic oscillator calculations is presented to demonstrate the effectiveness of the new basis functions.

关 键 词：shell-model calculations nuclear structure beta decay gamma transition 

分 类 号：O571[理学—粒子物理与原子核物理]