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Prog. Theor. Phys. Supplement No.65 (1979) pp. 10-37

[ Full Text PDF : FREE ACCESS (1838K) ]

Chapter II. Nuclear Reaction Matrix and Nuclear Forces

Sinobu Nagata, Hiroharu Bandō* and Yoshinori Akaishi**

Department of Applied Physics, Faculty of Engineering, Miyazaki University, Miyazaki 880
*Division of Mathematical Physics, Fukui University, Fukui 910
**Department of Physics, Hokkaido University, Sapporo 060

(Received April 28, 1979)

Abstract:

An essentially exact method of solution is presented for the reaction-matrix (G-matrix) equation defined with the orthogonalized plane-wave intermediate spectrum for high-lying two-particle states. The accuracy is examined for introduced truncations and also in comparison with the Tsai-Kuo and Sauer methods. Properties of the G-matrix are discussed with emphasis on the relation with the saturation mechanism, especially overall saturation from light to heavy nuclei. Density and starting-energy dependences of the G-matrix are separately extracted and discussed. It is demonstrated that the triplet-even tensor component of the nuclear force is principally responsible for these dependences and hence for the saturation mechanism. In this context different nuclear potentials are used in the renormalized Brueckner calculation for energies of closed-shell nuclei in the harmonic oscillator basis. A semi-phenomenological “two-body potential” is devised so that it can reproduce the saturation energies and densities of nuclear matter and finite nuclei in the lowest-order Brueckner treatment. It is composed of a realistic N-N potential and two additional parts; one incorporates the three-body force effect and the other is assumed to embody higher-cluster correlations in G. The tensor component in the triplet-even state of this potential is enhanced by the three-body force effect. The G-matrix is represented in the effective local form and decomposed into central, LS and tensor components.


URL : http://ptp.ipap.jp/link?PTPS/65/10/
DOI : 10.1143/PTPS.65.10

[ Full Text PDF : FREE ACCESS (1838K) ] Citation:

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