arXiv 1007.22542010-07-14nucl-th

Lowest eigenvalue of the nuclear shell model Hamiltonian

J. J. Shen, Y. M. Zhao, A. Arima

备注：: six pages, four figures, Physical Review C, in press
发表信息：: Phys.Rev.C82:014309,2010
DOI：: 10.1103/PhysRevC.82.014309

英文摘要：

In this paper we investigate regular patterns of matrix elements of the nuclear shell model Hamiltonian $H$, by sorting the diagonal matrix elements from the smaller to larger values. By using simple plots of non-zero matrix elements and lowest eigenvalues of artificially constructed "sub-matrices" $h$ of $H$, we propose a new and simple formula which predicts the lowest eigenvalue with remarkable precisions.

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