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Prog. Theor. Phys. Supplement No.65 (1979) pp. 173-199

Chapter VI. Reaction Matrix Approach to the Cluster State

Yasuo Yamamoto, Hiroharu Bandō^* and Sinobu Nagata^**

Tsuru University, Tsuru, Yamanashi 402
^*Division of Mathematical Physics, Fukui University, Fukui 910
^**Department of Applied Physics, Miyazaki University, Miyazaki 880

(Received March 29, 1979)

Abstract:

The clustering mechanism is investigated starting from realistic nuclear forces. Under the independent-pair approximation the reaction matrix theory is applied to cluster states. In the case of neglecting inter-cluster motions, it is a kind of restricted Brueckner-Hartree-Fock calculation. An adequate method is presented for solving the reaction matrix equation in the cluster-orbital space. It is found that the clustering-induced attraction of the effective interaction works to enhance the clustering interdependently. As an attempt to treat the interdependence between the inter-cluster motion and the two-particle ladder correlation, we present a Brueckner-Generator-Coordinate Method applied to the α-α scattering problem, where the Hill-Wheeler equation and the reaction matrix equation are solved self-consistently. The experimental α-α scattering phase shifts are well reproduced by taking account of the dynamical change of the effective interaction arising from complicated many-body effects.

URL : http://ptp.ipap.jp/link?PTPS/65/173/
DOI : 10.1143/PTPS.65.173

[ Full Text PDF : FREE ACCESS (1734K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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