# On generation of the Bargmann-Moshinsky basis of SU(3) group

## TL;DR

This paper presents an efficient analytical method for orthonormalising the Bargmann-Moshinsky basis of the SU(3) group, facilitating nuclear model calculations with a new Fortran implementation.

## Contribution

It introduces a novel analytical orthonormalisation procedure for the BM basis and provides a practical Fortran program for nuclear physics applications.

## Key findings

- Successful orthonormalisation of the BM basis using analytical formulas
- Validated calculations of quadrupole operator components between bases
- Implementation of the procedure as a Fortran program

## Abstract

An efficient procedure of orthonormalisation of the Bargmann-Moshinsky (BM) basis is examined using analytical formulas of the overlap integrals of the BM basis. Calculations of components of the quadrupole operator between the both BM and the orthonormalised bases needed for construction of the nuclear models are tested. The proposed procedure is also implemented as the Fortran program.