Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2010-07-14
Physics
Nuclear Physics
Nuclear Theory
six pages, four figures, Physical Review C, in press
Scientific paper
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.
Arima Akito
Shen Janice
Zhao Yu-Min
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