SevenOperators, a Mathematica script for harmonic oscillator nuclear matrix elements arising in semileptonic electroweak interactions

Abstract Semi-leptonic electroweak interactions in nuclei-such as β decay, μ capture, charged- and neutral-current neutrino reactions, and electron scattering-are described by a set of multipole operators carrying definite parity and angular momentum, obtained by projection from the underlying nuclear charge and three-current operators. If these nuclear operators are approximated by their one-body forms and expanded in the nucleon velocity through order | over(p, →) | / M, where over(p, →) and M are t... Title of program: SevenOperators Catalogue Id: AEAY_v1_0 Nature of problem Algebraic evaluation of harmonic oscillator nuclear matrix elements for the one-body multipole operators governing semi-leptonic weak interactions, such as charged- or neutral-current neutrino scattering off nuclei. Versions of this program held in the CPC repository in Mendeley Data AEAY_v1_0; SevenOperators; 10.1016/j.cpc.2008.02.018 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)摘要 原子核内的半轻子电弱相互作用——诸如β衰变（β decay）、μ子俘获（μ capture）、带电流与中性流中微子反应（charged- and neutral-current neutrino reactions），以及电子散射（electron scattering）——可通过一组具有确定宇称（parity）和角动量（angular momentum）的多极算符（multipole operators）来描述，这类算符由底层核电荷与三流算符（nuclear charge and three-current operators）投影得到。若将这些核算符近似为其单体形式（one-body forms），并按核子速度（nucleon velocity）的$|vec{p}|/M$阶次展开（其中$vec{p}$与$M$分别为……） 程序名称：SevenOperators 目录编号：AEAY_v1_0 问题本质 针对调控半轻子弱相互作用（诸如原子核与带电流或中性流中微子散射）的单体多极算符，开展谐振子核矩阵元（harmonic oscillator nuclear matrix elements）的代数求值（algebraic evaluation）。 该程序在Mendeley数据的CPC仓库中的版本为：AEAY_v1_0; SevenOperators; 10.1016/j.cpc.2008.02.018 本程序源自贝尔法斯特女王大学馆藏的CPC程序库（1969-2019年）