Nonsymmetrized hyperspherical harmonics with realistic NN potentials

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.

arXiv comment15 pages

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Cited by in corpus (4)

• Benchmark Results for Few-Body Hypernuclei
• Computing an orthonormal basis of symmetric or antisymmetric hyperspherical harmonics
• Ab initio calculations for non-strange and strange few-baryon systems
• Strangeness in nuclei and neutron stars: a challenging puzzle