A momentum-space Argonne V18 interaction

TL;DR

This paper presents a practical, efficient momentum-space representation of the Argonne V18 potential using orthonormal basis expansions, facilitating calculations in nuclear physics without complex integrations.

Contribution

It introduces two novel expansion methods for the scalar coefficient functions of the Argonne V18 potential in momentum space, enabling easier and more accurate computations.

Findings

Provides two expansion methods: rational functions and Chebyshev polynomials.

Offers programs for practical implementation of the potential representations.

Includes analytic expressions for electromagnetic part Fourier transforms.

Abstract

This paper gives a momentum-space representation of the Argonne V18 potential as an expansion in products of spin-isospin operators with scalar coefficient functions of the momentum transfer. Two representations of the scalar coefficient functions for the strong part of the interaction are given. One is as an expansion in an orthonormal basis of rational functions and the other as an expansion in Chebyshev polynomials on different intervals. Both provide practical and efficient representations for computing the momentum-space potential that do not require integration or interpolation. Programs based on both expansions are available as supplementary material. Analytic expressions are given for the scalar coefficient functions of the Fourier transform of the electromagnetic part of the Argonne V18. A simple method for computing the partial-wave projections of these interactions from the operator expressions is also given.