Single particle calculations for a Woods–Saxon potential with triaxial deformations, and large Cartesian oscillator basis

Abstract We present a computer program which solves the Schrodinger equation of the stationary states for an average nuclear potential of Woods–Saxon type. In this work, we take specifically into account triaxial (i.e. ellipsoidal) nuclear surfaces. The deformation is specified by the usual Bohr parameters. The calculations are carried out in two stages. In the first, one calculates the representative matrix of the Hamiltonian in the Cartesian oscillator basis. In the second stage one diagonalizes thi... Title of program: Triaxial Catalogue Id: ADSK_v1_0 Nature of problem The single particle energies and the single particle wave functions are calculated from one-body Hamiltonian including a central field of Woods-Saxon type, a spin-orbit interaction, and the Coulomb potential for the protons. We consider only ellipsoidal (triaxial) shapes. The deformation of the nuclear shape is fixed by the usual Bohr parameters (Β, γ). Versions of this program held in the CPC repository in Mendeley Data ADSK_v1_0; Triaxial; 10.1016/S0010-4655(03)00464-8 ADSK_v2_0; Triaxial2007; 10.1016/j.cpc.2007.02.096 ADSK_v3_0; Triaxial2014; 10.1016/j.cpc.2014.07.016 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)

摘要 本文提出一款可求解伍德-萨克森（Woods-Saxon）型平均核势下定态薛定谔（Schrödinger）方程的计算机程序。本研究特别考虑了三轴（即椭球形）核表面，形变通过常规玻尔（Bohr）参数指定。计算分为两个阶段进行：第一阶段，在笛卡尔谐振子基矢（Cartesian oscillator basis）下构建哈密顿量（Hamiltonian）的表征矩阵；第二阶段，对该矩阵进行对角化……

程序名称：Triaxial
目录号：ADSK_v1_0
问题本质：针对包含伍德-萨克森型中心场、自旋-轨道相互作用（spin-orbit interaction）以及质子库仑势（Coulomb potential）的单体哈密顿量（one-body Hamiltonian），计算单粒子能级与单粒子波函数。本研究仅考虑椭球形（三轴）核形状，核形状的形变由常规玻尔参数(Β, γ)确定。

本程序存于孟德雷数据（Mendeley Data）的《计算机物理学报》（Computer Physics Communications，简称CPC）库中，各版本信息如下：
ADSK_v1_0; Triaxial; 10.1016/S0010-4655(03)00464-8
ADSK_v2_0; Triaxial2007; 10.1016/j.cpc.2007.02.096
ADSK_v3_0; Triaxial2014; 10.1016/j.cpc.2014.07.016

本程序源自贝尔法斯特女王大学（Queen's University Belfast）馆藏的CPC程序库（1969-2018）