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Prog. Theor. Phys. Vol. 56 No. 1 (1976) pp. 135-150
Cluster Decomposition of the S Matrix and Density Expansion of Nuclear Phase Shifts
Mitsuaki Obu
Department of Physics and Atomic Energy Research Institute, College of Science and Technology, Nihon University, Tokyo
(Received September 20, 1975)
Abstract:
A systematic way of improving the Glauber multiple-scattering theory is discussed from the standpoint of the cluster decomposition of the S matrix. Since the decomposition is worked out without appealing to any specific approximations, the result is formally exact. Prescriptions which specify the order of each cluster contribution are considered (Z-ordering) in order to minimize the error arising when one introduces truncations in the theoretical scheme. Due to this Z-ordering technique, the convergence of the scheme seems very rapid especially for non-overlapping potentials. The structure and some basic properties of the two-body clusters are discussed in some detail. From the cluster-factorized expression for the S matrix, nuclear-density expansion for optical phase shifts is derived.
URL :
http://ptp.ipap.jp/link?PTP/56/135/
DOI : 10.1143/PTP.56.135
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