Eur. Phys. J. A (2016) 52: 103
https://doi.org/10.1140/epja/i2016-16103-5

Regular Article - Theoretical Physics

Jacobi no-core shell model for p-shell nuclei

¹ Institute for Advanced Simulation, Institut für Kernphysik, and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425, Jülich, Germany
² JARA - High Performance Computing, Forschungszentrum Jülich, D-52425, Jülich, Germany
³ Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, D-53115, Bonn, Germany

^* e-mail: a.nogga@fz-juelich.de

Received: 4 November 2015
Revised: 29 January 2016
Accepted: 7 February 2016
Published online: 22 April 2016

Abstract

We introduce an algorithm to obtain coefficients of fractional parentage for light p-shell nuclei. The coefficients enable one 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 ³H, ⁴He, ⁶He, ⁶Li and ⁷Li and extract their binding and excitation energies. The coefficients will be made openly accessible as HDF5 data files.