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Calculation of the Alpha--Particle Ground State within the Hyperspherical Harmonic Basis

M. Viviani·A. Kievsky·S. Rosati
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Abstract

The problem of calculating the four--nucleon bound state properties for the case of realistic two- and three-body nuclear potentials is studied using the hyperspherical harmonic (HH) approach. A careful analysis of the convergence of different classes of HH functions has been performed. A restricted basis is chosen to allow for accurate estimates of the binding energy and other properties of the 4He ground state. Results for various modern two-nucleon and two- plus three-nucleon interactions are presented. The 4He asymptotic normalization constants for separation in 2+2 and 1+3 clusters are also computed.

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M. Viviani, A. Kievsky, S. Rosati. 2004-08-06. Calculation of the Alpha--Particle Ground State within the Hyperspherical Harmonic Basis. https://doi.org/10.1103/physrevc.71.024006

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