Nonsymmetrized hyperspherical harmonics with realistic NN potentials
Nuclear Theory
2015-06-12 v1
Abstract
The Schroedinger equation is solved for an A-nucleon system using an expansion of the wave function in nonsymmetrized hyperspherical harmonics. Our approach is both an extension and a modification of the formalism developed by Gattobigio et al.. The extension consists in the inclusion of spin and isospin degrees of freedom such that a calculation with more realistic NN potential models becomes possible, whereas the modification allows a much simpler determination of the fermionic ground state. The approach is applied to four- and six-body nuclei (4He, 6Li) with various NN potential models. It is shown that the results for ground-state energy and radius agree well with those from the literature.
Cite
@article{arxiv.1212.5532,
title = {Nonsymmetrized hyperspherical harmonics with realistic NN potentials},
author = {Sergio Deflorian and Nir Barnea and Winfried Leidemann and Giuseppina Orlandini},
journal= {arXiv preprint arXiv:1212.5532},
year = {2015}
}
Comments
15 pages