Few-nucleon systems in a translationally invariant harmonic oscillator basis

P. Navrátil, G. P. Kamuntavičius, Bruce R Barrett

Research output: Contribution to journalArticle

2 Citations (Scopus)

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 [Formula Presented] and [Formula Presented] 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 [Formula Presented] NN potentials.

Original languageEnglish (US)
Number of pages1
JournalPhysical Review C - Nuclear Physics
Volume61
Issue number4
DOIs
StatePublished - Jan 1 2000

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harmonic oscillators
nucleon potential
interactions
excitation
form factors
magnetic moments
formalism
formulations
radii
ground state
energy

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Few-nucleon systems in a translationally invariant harmonic oscillator basis. / Navrátil, P.; Kamuntavičius, G. P.; Barrett, Bruce R.

In: Physical Review C - Nuclear Physics, Vol. 61, No. 4, 01.01.2000.

Research output: Contribution to journalArticle

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