Symbolic algorithms for the computation of Moshinsky brackets and nuclear matrix elements

Published: 15-12-2005| Version 1 | DOI: 10.17632/bhgtvvp85k.1
D. Ursescu,
M. Tomaselli,
T. Kuehl,
S. Fritzsche


Abstract To facilitate the use of the extended nuclear shell model (NSM), a Fermi module for calculating some of its basic quantities in the framework of Maple is provided. The Moshinsky brackets, the matrix elements for several central and non-central interactions between nuclear two-particle states as well as their expansion in terms of Talmi integrals are easily given within a symbolic formulation. All of these quantities are available for interactive work. Title of program: Fermi Catalogue Id: ADVO_v1_0 Nature of problem In order to perform calculations within the nuclear shell model (NSM), a quick and reliable access to the nuclear matrix elements is required. These matrix elements, which arise from various types of forces among the nucleons, can be calculated using Moshinsky's transformation brackets between relative and center-of-mass coordinates [2] and by the proper use of the nuclear states in different coupling notations. Versions of this program held in the CPC repository in Mendeley Data ADVO_v1_0; Fermi; 10.1016/j.cpc.2004.09.012 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)