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Prog. Theor. Phys. Vol. 36 No. 1 (1966) pp. 37-50

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On the Quadruple Correlation in the Extra Binding Energy of the s-d Shell Nuclei

Kenji Suzuki and Sinobu Nagata

Department of Physics, Kyoto University, Kyoto

(Received February 14, 1966)

Abstract:

The saturation property of the α-type particles which appears in the series of the extra separation energies in the s-d shell nuclei is discussed. To explain this property, the binding energies of 2 ∼ 5 particles outside the core O16 are discussed qualitatively in the j-j and L-S schemes and calculated with projected variational self-consistent wave function and the SU(3) model, using the reaction matrix as the residual interaction. In these calculations it is shown that the T = 0 interaction plays an essential role in the configuration mixing and the saturation property, together with the pairing interaction V(J = 0, T = 1). It is concluded that the saturation property is a consequence of the change of the contribution from the large two-body interaction V(J = 0, T = 1), V(J = Jmax, T = 0) and V(J = Jmin, T = 0). Futhermore, we discuss the possibility of testing the effective interaction by comparing the results of calculations with the reaction matrix and those with a phenomenological effective interaction of the Gaussian type.


URL : http://ptp.ipap.jp/link?PTP/36/37/
DOI : 10.1143/PTP.36.37

[ Full Text PDF : FREE ACCESS (875K) ] Citation:


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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 39 No. 5 (1968) pp. 1180-1192 :
    Stability Condition of the Hartree-Fock States against Four-Body Correlations
    Kenji Suzuki
  2. Progress of Theoretical Physics Vol. 44 No. 3 (1970) pp. 646-662 :
    Reaction Matrix Theory for Cluster States in Light Nuclei. I
    Hiroharu Bandō, Sinobu Nagata and Yasuo Yamamoto