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Phys. Rev. C 66, 044007 (2002) [11 pages]

Feasibility study of a three-nucleon force in the no-core shell model: 3H binding energy

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David C. J. Marsden*
Program in Applied Mathematics, University of Arizona, Tucson, Arizona 85721

Petr Navrátil
Lawrence Livermore National Laboratory, L-414, P. O. Box 808, Livermore, California 94551

Sidney A. Coon
Department of Physics, New Mexico State University, Las Cruces, New Mexico, 88003
National Science Foundation, 4201 Wilson Boulevard, Arlington, Virginia 22330

Bruce R. Barrett
Department of Physics, University of Arizona, Tucson, Arizona 85721

Received 2 July 2002; published 25 October 2002

We investigate the three-nucleon system with a realistic nucleon-nucleon potential and the Tucson-Melbourne (TM) two-pion exchange three-body interaction using a translationally invariant harmonic oscillator basis. In the calculations, the no-core shell-model two-body effective interaction replaces the nucleon-nucleon potential, while the three-nucleon interaction is added without any renormalization. We study the convergence of the approach by changing the basis size. Also the dependence of the binding energies on the TM cutoff parameter Λ is examined. The results show promise for the construction of three-body effective interactions including a three-nucleon interaction, for use in future ab initio no-core shell-model nuclear structure calculations for A>3 systems.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.66.044007
DOI:
10.1103/PhysRevC.66.044007
PACS:
21.60.Cs, 21.10.Dr, 21.45.+v, 21.30.Fe

*Current address: Math/IT Unit, UAE University, P.O. Box 17172, Al-Ain, United Arab Emirates.

 
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