Jacobi no-core shell model for p-shell nuclei

TL;DR

This paper presents a new algorithm for calculating coefficients of fractional parentage in p-shell nuclei, enabling more accurate no-core shell model calculations with explicit center-of-mass separation.

Contribution

It introduces an algorithm for coefficients of fractional parentage that facilitates the use of Jacobi coordinates in no-core shell model calculations for p-shell nuclei.

Findings

Calculated binding and excitation energies for several p-shell nuclei.

Analyzed the dependence of energies on harmonic oscillator frequency.

Provided open access to the coefficients as HDF5 data files.

Abstract

We introduce an algorithm to obtain coefficients of fractional parentage for light $p$-shell nuclei. The coefficients enable to use Jacobi coordinates in no-core shell model calculations separating off the center-of-mass motion. Fully antisymmetrized basis states are given together with recoupling coefficients that allow one to apply two- and three-nucleon operators. As an example, we study the dependence on the harmonic oscillator frequency of $^3$H, $^4$He, $^6$He, $^6$Li and $^7$Li and extract their binding and excitation energies. The coefficients will be made openly accessible as HDF5 data files.