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
核内的半轻子电弱相互作用，例如β衰变、μ捕获、带电及中性电流中微子反应以及电子散射，均由一组携带确定宇称和角动量的多极算子描述，这些算子通过从基础核电荷和三电流算子投影得到。若将这些核算子近似为其单体形式，并按质子速度的| over(p, →) | / M阶展开，其中over(p, →)和M分别为动量和质量，则可进行谐波振荡核矩阵元素的代数求解，该求解过程控制着核中的带电或中性电流中微子散射等半轻子弱相互作用。

程序名称：SevenOperators
目录编号：AEAY_v1_0

问题性质
对控制核中带电或中性电流中微子散射等半轻子弱相互作用的单体多极算子所对应的谐振荡核矩阵元素进行代数评估。

Mendeley数据中CPC存储库中保存的此程序的版本
AEAY_v1_0; SevenOperators; 10.1016/j.cpc.2008.02.018

此程序已从贝尔法斯特女王大学（1969-2019年）持有的CPC程序库中导入。