Pascal program for generating tables of SU(3) Clebsch-Gordan coefficients

Abstract
Pascal routines are provided that generate representations of the group SU(3) and tabulate the Clebsch-Gordan coefficients in the products of representations.

Title of program: SU3Clebsch
Catalogue Id: ACVY_v1_0

Nature of problem
Calculations in models based on the group SU(3) often require Clebsch- Gordan coefficients in the product of group representations. Previously compiled tables [1] contained only representations having integral hypercharge values. They are therefore useful for calculations involving mesons and hadrons, but are inadequate for calculations that involve arbitrary numbers of quarks.

Versions of this program held in the CPC repository in Mendeley Data
ACVY_v1_0; SU3Clebsch; 10.1016/0010-4655(94)00115-I

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)

摘要
本文提供了可生成SU(3)群表示，并对群表示直积中的Clebsch-Gordan系数（Clebsch-Gordan coefficients）进行制表的Pascal语言程序例程。

程序名称：SU3Clebsch
目录标识号：ACVY_v1_0

问题概述
基于SU(3)群的模型计算中，通常需要求解群表示直积下的Clebsch-Gordan系数。此前已编制的相关表格文献[1]仅包含超荷为整数的群表示，因此仅适用于介子与强子相关的计算，无法满足涉及任意数量夸克的计算需求。

本程序存档于Mendeley数据平台的CPC程序库，相关版本信息为：ACVY_v1_0；SU3Clebsch；DOI:10.1016/0010-4655(94)00115-I

本程序源自贝尔法斯特女王大学馆藏的CPC程序库（1969-2019年）

搜集汇总

背景与挑战

背景概述

该数据集是一个用于生成SU(3)群Clebsch-Gordan系数表的Pascal程序，解决了以往系数表仅适用于整数超荷值表示的局限，扩展了其在粒子物理模型计算中的应用范围，特别是支持涉及任意数量夸克的计算场景。