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arXiv · 1212.5532

Nonsymmetrized hyperspherical harmonics with realistic NN potentials

Sergio Deflorian·Nir Barnea·Winfried Leidemann·Giuseppina Orlandini
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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.

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Sergio Deflorian, Nir Barnea, Winfried Leidemann, Giuseppina Orlandini. 2012-12-21. Nonsymmetrized hyperspherical harmonics with realistic NN potentials. https://doi.org/10.1007/s00601-013-0717-y

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