The general formulation of a technically advantageous method to find the ground state solution of the Schr6dinger equation in configuration space for systems with a number of particles A greater than 4 is presented. The wave function is expanded in pair-correlated hyperspherical harmonics beyond the
State-dependent effective interaction for the hyperspherical formalism with noncentral forces
β Scribed by Nir Barnea; Winfried Leidemann; Giuseppina Orlandini
- Book ID
- 104334592
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 146 KB
- Volume
- 693
- Category
- Article
- ISSN
- 0375-9474
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β¦ Synopsis
The recently developed effective interaction method for the hyperspherical harmonic formalism is extended to noncentral forces. Binding energies and radii of three-and four-body nuclei are calculated with AV6 and AV14 NN potentials. Excellent results for the convergence of the expansion are found, particularly for the three-nucleon system. Due to the higher density the convergence rate is a bit slower for the alpha particle. In comparison to central potential models there is only a very slight deterioration of the convergence due the tensor force, while other potential terms have no visible effect on the convergence. The obtained values for binding energy and radii also agree well with the results in the literature obtained with other few-body techniques.
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