Jacobi no-core shell model for p-shell nuclei

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.

Comments: 23 pages, 17 figures