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Few nucleon systems in translationally invariant harmonic oscillator basis

P. Navratil
(
- Arizona U. and
- Rez, Nucl. Phys. Inst.
)
,
G.P. Kamuntavicius
(
- Arizona U. and
- Vytautas Magnus U. and
- Vilnius, Inst. Phys.
)
,
B.R. Barrett
(
- Arizona U.
)

Jul, 1999

25 pages

Published in:

Phys.Rev.C 61 (2000) 044001

e-Print:

nucl-th/9907054 [nucl-th]

DOI:

10.1103/PhysRevC.61.044001

View in:

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Abstract: (arXiv)

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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Figures(0)

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