Lowest eigenvalue of the nuclear shell model Hamiltonian

Abstract

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.

six pages, four figures, Physical Review C, in press

References in corpus (7)

• Random Matrices and Chaos in Nuclear Physics
• Random Matrices and Chaos in Nuclear Spectra
• Distribution of spectral widths and preponderance of spin-0 ground states in nuclei
• Solution of large scale nuclear structure problems by wave function factorization
• The Two-Body Random Ensemble in Nuclei
• Strong Linear Correlation Between Eigenvalues and Diagonal Matrix Elements
• Lowest Eigenvalues of Random Hamiltonians