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Prog. Theor. Phys. Vol. 45 No. 1 (1971) pp. 85-103

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Rotational Levels in a Simple Shell Model Configuration

Yasutoshi Tanaka, Kengo Ogawa and Akito Arima

Department of Physics, the University of Tokyo, Tokyo

(Received August 11, 1970)

Abstract:

Systems of (j12(proton), j2±2(neutron)) configurations are examined for the purpose of studying the role of neutron-proton correlation. Residual interactions of δ+QQ type are assumed. Protons and neutrons are strongly coupled by the attractive neutron-proton interaction (both short range and long range) which causes rotational features with the axial symmetry in two-proton and two-neutron systems. However, because the coupling of protons with neutron holes is weak, this leads the two-proton and two-neutron hole system to show no rotational property with the axial symmetry. In the former system, the ground K=0+ band and also an excited K=1+ band appear, provided that j1 and j2 are large and the QQ interaction is strong. Exact wave functions of the ground band members and K=1+ band members are very similar to projected states from intrinsic wave functions given by the aligned coupling scheme.


URL : http://ptp.ipap.jp/link?PTP/45/85/
DOI : 10.1143/PTP.45.85

[ Full Text PDF : FREE ACCESS (1151K) ] Citation:


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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 50 No. 1 (1973) pp. 121-136 :
    Axially-Symmetric and Gamma-Unstable Deformations in Nuclei
    Yasutoshi Tanaka and Toshiaki Tomoda
  2. Progress of Theoretical Physics Vol. 65 No. 2 (1981) pp. 533-549 :
    Signature Scheme of the Shell Model and Nuclear Collective Excitations
    Kengo Ogawa