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Prog. Theor. Phys. Vol. 56 No. 1 (1976) pp. 95-110

Spin Condition in the Cluster Variation Method and Its Application to the Neutron Matter

Hiroshi Mimura, Ichiro Homma and Masami Yamada^*

Department of Physics and Applied Physics, Waseda University, Tokyo 160
^*Science and Engineering Research Laboratory, Waseda University, Tokyo 160

(Received December 5, 1975)

Abstract:

A kinematical study is made on the relation between the spin-singlet and spin-triplet pair distribution functions in the many-body system of spin-1/2 particles, and a group of inequalities is derived from the positiveness of the square of the “local spin” which is the total spin of a subsystem confined in a certain local region. This spin condition is applied to the neutron matter in the two-body approximation of the cluster variation method, and a conditional Euler-Lagrange equation is derived for the ground state. Although the solution of the Euler-Lagrange equation has a long-range tail, the conditional energy minimum can be obtained from it. Numerical results show that the spin condition compensates the kinematical defects due to the truncation of the cluster series in a fairly wide density region and is useful to eliminate unnatural solutions.

URL : http://ptp.ipap.jp/link?PTP/56/95/
DOI : 10.1143/PTP.56.95

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 71 No. 5 (1984) pp. 894-905 :

   Momentum Distribution Condition in the Cluster Variation Method

   Hiroshi Mimura and Masami Yamada

2. Progress of Theoretical Physics Vol. 88 No. 6 (1992) pp. 1131-1145 :

   Necessary Conditions on Spin-Isospin-Dependent Liquid Structure Functions of Fermion Systems

   Masatoshi Takano and Masami Yamada

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