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Prog. Theor. Phys. Vol. 52 No. 2 (1974) pp. 509-520

[ Full Text PDF : FREE ACCESS (1169K) ]

Effective Interactions in Finite Nuclei Based on Reaction Matrix Theory. I

— Reaction Matrix Consistent with Model Space —

Kazuhiko Andō, Hiroharu Bandō* and Sinobu Nagata

Department of Physics, Kyoto University, Kyoto
*Division of Mathematical Physics, Fukui University, Fukui

(Received March 22, 1974)

Abstract:

Reaction matrix is calculated in rigorous ways, special attentions being paid to the consistency with the chosen model space. In our treatment of the reaction matrix, there occurs no ambiguity concerning the double counting. Core-polarization corrections to the effective interactions are considered in second order. The energy spectra of 42Sc are calculated from two types of free nucleon-nucleon potentials, H-J and OBEP-K, with a model space chosen as (fp)2-configurations, at first, and then extended to ((fp)2 + (sdg)2)-configurations. This extension of the model space is found to be important to push down the lowest (JπT) = (1+0) state and (0+1) state; the former has the strongest correlation in bare G and the correlation of the latter is most enhanced through the core-polarization. For the lowest (1+0) state, however, the binding is still weaker compared with the experimental result, even for the OBEP-K potential which is more favourable for the deuteron-like correlation in nuclei.


URL : http://ptp.ipap.jp/link?PTP/52/509/
DOI : 10.1143/PTP.52.509

[ Full Text PDF : FREE ACCESS (1169K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 52 No. 3 (1974) pp. 928-951 :
    Effective Interactions in Finite Nuclei Based on Reaction Matrix Theory. II
    Kazuhiko Andō, Hiroharu Bandō and Sinobu Nagata
  2. Progress of Theoretical Physics Vol. 53 No. 5 (1975) pp. 1406-1419 :
    Nuclear Matter Properties for Nonstatic One-Boson-Exchange Potential with Retardation
    Toshio Obinata, Masanobu Wada and Teruhisa Kasahara
  3. Progress of Theoretical Physics Vol. 53 No. 6 (1975) pp. 1711-1730 :
    Multiple Scattering Equation for Two Particle-One Hole System and Generalized Vertex in Core Polarization of Nuclei. I
    Kazuhiko Andō and Hiroharu Bandō
  4. Progress of Theoretical Physics Vol. 57 No. 4 (1977) pp. 1303-1319 :
    Multiple Scattering Equation for Two Particle-One Hole System and Generalized Vertex in Core Polarization of Nuclei. II
    Kazuhiko Andō, Hiroharu Bandō and Sinobu Nagata
  5. Progress of Theoretical Physics Vol. 57 No. 5 (1977) pp. 1584-1598 :
    Multiple Scattering Equation for Two Particle-One Hole System and Generalized Vertex in Core Polarization of Nuclei. III
    Kazuhiko Andō, Hiroharu Bandō and Sinobu Nagata
  6. Progress of Theoretical Physics Supplement No.65 (1979) pp. 10-37 :
    Chapter II. Nuclear Reaction Matrix and Nuclear Forces
    Sinobu Nagata, Hiroharu Bandō and Yoshinori Akaishi
  7. Progress of Theoretical Physics Supplement No.65 (1979) pp. 136-172 :
    Chapter V. Structure of Light fp-Shell Nuclei
    Toshio Motoba and Kazunori Itonaga

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