Few-nucleon systems in a translationally invariant harmonic oscillator basis

P. Navrátil, G. P. Kamuntavičius, 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 (HO) 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 (NN) potential in model spaces that include up to 34ℏΩ and 16ℏΩ HO excitations, respectively. 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.

Original languageEnglish (US)
Article number044001
Pages (from-to)440011-4400116
Number of pages3960106
JournalPhysical Review C - Nuclear Physics
Volume61
Issue number4
StatePublished - Apr 2000

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ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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