Jacobi no-core shell model for p-shell nuclei

2015/10/20 by S. Liebig, U. -G. Meißner, A. Nogga
Physics and Astronomy · #Basis (linear algebra) #Excitation #Harmonic oscillator #Neutrino Physics Research #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #SHELL model #Series (stratigraphy) #Shell (structure) #nucl-th

paper · pdf · doi:10.1140/epja/i2016-16103-5

published as Eur. Phys. J. A 52: 103 (2016) · 23 pages, 17 figures

arxiv created 2015/10/20 · openalex publication_date 2016/04/01 · arxiv updated 2016/04/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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 ³H, ⁴He, ⁶He, ⁶Li and ⁷Li and extract their binding and excitation energies. The coefficients will be made openly accessible as HDF5 data files.

Citations

• Effective operators within theab initiono-core shell model
• Structure ofA=10–13Nuclei with Two- Plus Three-Nucleon Interactions from Chiral Effective Field Theory
• Ab initiofour-body calculation ofn-He<mml:mprescripts/><mml:none/>3,p-H<mml:mprescripts/><mml:none/>3, andd-dscattering
• Modern theory of nuclear forces
• Chiral effective field theory and nuclear forces
• Structure ofp-shell nuclei using three-nucleon interactions evolved with the similarity renormalization group
• Ab initio no core shell model