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Few-nucleon systems in translationally invariant harmonic oscillator basis

P. Navratil·G. P. Kamuntavicius·B. R. Barrett
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Abstract

We present a translationally invariant formulation of the no-core shell model approach for few-nucleon systems. We discuss a general method of antisymmetrization of the harmonic-oscillator basis depending on Jacobi coordinates. The use of a translationally invariant basis allows us to employ larger model spaces than in traditional shell-model calculations. Moreover, in addition to two-body effective interactions, three- or higher-body effective interactions as well as real three-body interactions can be utilized. In the present study we apply the formalism to solve three and four nucleon systems interacting by the CD-Bonn nucleon-nucleon potential. Results of ground-state as well as excited-state energies, rms radii and magnetic moments are discussed. In addition, we compare charge form factor results obtained using the CD-Bonn and Argonne V8' NN potentials.

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P. Navratil, G. P. Kamuntavicius, B. R. Barrett. 1999-07-14. Few-nucleon systems in translationally invariant harmonic oscillator basis. https://doi.org/10.1103/physrevc.61.044001

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