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Two-frequency shell model for hypernuclei and meson-exchange hyperon-nucleon potentials

Phys. Rev. C 61, 031305(R) – Published 18 February 2000
Yiharn Tzeng, S. Y. Tsay Tzeng, T. T. S. Kuo, T.-S.H. Lee, and V. G. D. Stoks


A two-frequency shell model is proposed for investigating the structure of hypernuclei starting with a hyperon-nucleon potential in free space. In a calculation using the folded-diagram method for Λ16O, the Λ single particle energy is found to have a saturation minimum at an oscillator frequency ħωΛ10 MeV, for the Λ orbit, which is considerably smaller than ħωN=14 MeV for the nucleon orbit. The spin-dependence parameters derived from the Nijmegen NSC89 and NSC97f potentials are similar, but both are rather different from those obtained with the Jülich-B potential. The ΛNN three-body interactions induced by ΛN-ΣN transitions are important for the spin parameters, but relatively unimportant for the low-lying states of Λ16O.

DOI: http://dx.doi.org/10.1103/PhysRevC.61.031305

  • Received 29 January 1999
  • Revised 28 July 1999
  • Published 18 February 2000

© 2000 The American Physical Society

Authors & Affiliations

Yiharn Tzeng1, S. Y. Tsay Tzeng2, T. T. S. Kuo1,3, T.-S.H. Lee4, and V. G. D. Stoks5

  • 1Institute of Physics, Academia Sinica, Taipei, Taiwan, Republic of China
  • 2National Taipei University of Technology, Taipei, Taiwan, Republic of China
  • 3Department of Physics, State University of New York at Stony Brook, Stony Brook, New York 11794
  • 4Physics Division, Argonne National Laboratory, Argonne, Illinois 60493
  • 5Center for the Subatomic Structure of Matter, University of Adelaide, Adelaide, SA5005, Australia

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