English

Lowest eigenvalue of the nuclear shell model Hamiltonian

Nuclear Theory 2014-11-21 v1

Abstract

In this paper we investigate regular patterns of matrix elements of the nuclear shell model Hamiltonian HH, 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" hh of HH, we propose a new and simple formula which predicts the lowest eigenvalue with remarkable precisions.

Keywords

Cite

@article{arxiv.1007.2254,
  title  = {Lowest eigenvalue of the nuclear shell model Hamiltonian},
  author = {J. J. Shen and Y. M. Zhao and A. Arima},
  journal= {arXiv preprint arXiv:1007.2254},
  year   = {2014}
}

Comments

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

R2 v1 2026-06-21T15:47:51.384Z