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Phys. Rev. C 61, 031305(R) (2000) [4 pages]

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

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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

Received 29 January 1999; revised 28 July 1999; published 18 February 2000

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 ħωΛ10MeV, for the Λ orbit, which is considerably smaller than ħωN=14MeV 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.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.61.031305
DOI:
10.1103/PhysRevC.61.031305
PACS:
21.80.+a, 21.60.Cs, 24.10.Cn, 27.20.+n