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Prog. Theor. Phys. Vol. 73 No. 4 (1985) pp. 905-917

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Effective Hyperon-Nucleon Interaction Derived from Nijmegen OBE Model

Yasuo Yamamoto and Hiroharu Bandō*

Physics Section, Tsuru University, Tsuru, Yamanashi 402
*Division of Mathematical Physics, Fukui University, Fukui 910

(Received November 16, 1984)

Abstract:

The effective ΛN and ΣN interactions are proposed on the basis of the G-matrices calculated for the Nijmegen OBE model D interaction. They are parametrized by three-range Gaussian forms for the sake of convenience in applying them to various hypernuclear problems. The effective two-body LS and antisymmetric LS interactions are also derived. Single particle energies of some typical Λ hypernuclei such as 5ΛHe, 16, 17ΛO and 40, 41ΛCa are nicely reproduced with the use of our ΛN interaction. The ΣN interaction is complex and its imaginary part is related to ΣΛ convension widths. Qualitative features of single particle energies and widths of Σ states are discussed.


URL : http://ptp.ipap.jp/link?PTP/73/905/
DOI : 10.1143/PTP.73.905

[ Full Text PDF : FREE ACCESS (698K) ] Citation:


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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 76 No. 4 (1986) pp. 865-878 :
    ΛN Exchange-Force Effects on the Binding Energies of 5ΛHe, 9ΛBe, 6ΛΛHe and 10ΛΛBe Hypernuclei
    Wang Xi-cang, Hideo Takaki and Hiroharu Bandō
  2. Progress of Theoretical Physics Vol. 76 No. 6 (1986) pp. 1321-1333 :
    Production of Hypernuclear States by the (π+, K+) Reaction
    Hiroharu Bandō and Toshio Motoba
  3. Progress of Theoretical Physics Vol. 84 No. 2 (1990) pp. 291-316 :
    p-Shell Hypernuclei via (K-, π-), (π+, K+) and (Stopped K-, π-) Reactions
    Kazunori Itonaga, Toshio Motoba and Hiroharu Bandō
  4. Progress of Theoretical Physics Vol. 86 No. 4 (1991) pp. 867-875 :
    Newly Observed Double-Λ Hypernucleus and ΛΛ Interaction
    Yasuo Yamamoto, Hideo Takaki and Kiyomi Ikeda
  5. Progress of Theoretical Physics Vol. 89 No. 1 (1993) pp. 109-117 :
    Binding Energies of Double-Λ Hypernuclei and ΛΛG-Matrix
    Hiroyuki Himeno, Toshimi Sakuda, Sinobu Nagata and Yasuo Yamamoto
  6. Progress of Theoretical Physics Vol. 91 No. 2 (1994) pp. 319-326 :
    Estimation of Σ Well Depth
    Masahiro Kimura and Eiji Satoh
  7. Progress of Theoretical Physics Vol. 105 No. 4 (2001) pp. 607-626 :
    Effective YN and YY Interactions and Hyperon-Mixing in Neutron Star Matter
    Shigeru Nishizaki, Yasuo Yamamoto and Tatsuyuki Takatsuka
  8. Progress of Theoretical Physics Vol. 105 No. 6 (2001) pp. 923-931 :
    On the Λ Binding Energy in Nuclear Matter
    Janusz D\cabrowski and Jacek Ro\.zynek
  9. Progress of Theoretical Physics Vol. 108 No. 4 (2002) pp. 703-718 :
    Hyperon-Mixed Neutron Star Matter and Neutron Stars*
    Shigeru Nishizaki, Yasuo Yamamoto and Tatsuyuki Takatsuka
  10. Progress of Theoretical Physics Supplement No.81 (1985) pp. 147-180 :
    Chapter V. Multi-Strange Hypernuclei
    Kiyomi Ikeda, Hiroharu Bandō and Toshio Motoba
  11. Progress of Theoretical Physics Supplement No.117 (1994) pp. 17-53 :
    The (K-, π-) and (π+, K+) Reactions and Λ-Hypernuclear Polarization
    K. Itonaga, T. Motoba and M. Sotona
  12. Progress of Theoretical Physics Supplement No.117 (1994) pp. 241-250 :
    Σ- Atoms and 4ΣHe Hypernucleus with Σ-N Interactions
    Taiichi Yamada and Yasuo Yamamoto
  13. Progress of Theoretical Physics Supplement No.117 (1994) pp. 307-324 :
    Widths of Ξ Hypernuclear States
    D. J. Millener, C. B. Dover and A. Gal
  14. Progress of Theoretical Physics Supplement No.117 (1994) pp. 361-389 :
    Hyperon-Nucleon and Hyperon-Hyperon Interactions in Nuclei
    Yasuo Yamamoto, Toshio Motoba, Hiroyuki Himeno, Kiyomi Ikeda and Shinobu Nagata
  15. Progress of Theoretical Physics Supplement No.117 (1994) pp. 461-475 :
    A Review on Mesonic Decay of Λ Hypernuclei
    E. Oset, P. Fernández de Córdoba, J. Nieves, A. Ramos and L. L. Salcedo
  16. Progress of Theoretical Physics Supplement No.156 (2004) pp. 1-16 :
    Fifty Years of Hypernuclei and Beyond
    Avraham Gal