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Prog. Theor. Phys. Vol. 59 No. 4 (1978) pp. 1199-1212

Study of Gaussian Distribution in Nuclear Spectroscopy

Masao Nomura

Institute of Physics, University of Tokyo, Komaba, Tokyo 153

(Received May 18, 1977)

Abstract:

Expectation value distribution of an operator in a many-body configuration of the shell model is studied in order to understand statistical property of nuclear spectroscopy. A general k-body operator, scalar or nonscalar, is considered. The present concern is the case n,N-n≫k, where n is the number of active nucleons and N is the number of nucleons in the completely filled shell. Excess parameter γ₂ is evaluated in an algebraic way to show that distribution is close to Gaussian near the midshell, i.e., in the case (N-n)/n = O(1) under some reasonable conditions (assumptions), even if the distribution is far from Gaussian in the case N≫n. Pauli-principle and rotation invariance are exactly taken into account, though J-summed high moments of the operator are considered instead of J-fixed moments.

URL : http://ptp.ipap.jp/link?PTP/59/1199/
DOI : 10.1143/PTP.59.1199

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 61 No. 1 (1979) pp. 86-93 :

   Resonance between Primordial Gravitational Waves and Gravitationally Bound Systems

   Toshifumi Futamase and Takuya Matsuda

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