English

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.

Keywords

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

R2 v1 2026-06-21T22:59:00.611Z