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Ab initio shell model calculations with three-body effective interactions for p-shell nuclei.

Petr Navrátil1, W Erich Ormand

  • 1Lawrence Livermore National Laboratory, L-414, P.O. Box 808, Livermore, California 94551, USA.

Physical Review Letters
|April 17, 2002
PubMed
Summary

This study enhances the ab initio no-core shell model (NCSM) by incorporating three-body interactions for p-shell nuclei. The improved NCSM approach accelerates convergence and reveals discrepancies in 10B nuclear structure predictions, highlighting the necessity of three-body forces.

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Area of Science:

  • Nuclear Physics
  • Computational Physics
  • Quantum Many-Body Theory

Background:

  • The ab initio no-core shell model (NCSM) is a powerful tool for nuclear structure calculations.
  • Previous NCSM approaches primarily focused on two-body interactions, limiting accuracy for heavier nuclei.

Purpose of the Study:

  • To qualitatively improve the ab initio no-core shell model (NCSM) by implementing three-body interaction capability.
  • To investigate the impact of three-body effective interactions on p-shell nuclei (6Li, 8Be, 10B).

Main Methods:

  • Developed and implemented three-body effective interactions within the NCSM framework.
  • Derived interactions from realistic nucleon-nucleon potentials.
  • Performed ab initio calculations for light nuclei.

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Main Results:

  • Demonstrated that three-body effective interactions accelerate the convergence of NCSM calculations.
  • Achieved faster convergence for 6Li, 8Be, and 10B nuclei.
  • Predicted a 1(+)0 ground state for 10B using the AV8(') potential, contrasting with the experimental 3(+)0 state.

Conclusions:

  • The inclusion of three-body effective interactions significantly improves the NCSM approach.
  • The discrepancies in 10B predictions underscore the critical role of true three-body forces in nuclear structure.
  • Further theoretical development is needed to fully incorporate three-body forces.