
We introduce a novel method to obtain level densities in large-scale shell-model calculations. Our method is a stochastic estimation of eigenvalue count based on a shifted Krylov-subspace method, which enables us to obtain level densities of huge Hamiltonian matrices. This framework leads to a successful description of both low-lying spectroscopy and the experimentally observed equilibration of $J^π=2^+$ and $2^-$ states in $^{58}$Ni in a unified manner.
13 pages, 4 figures
Nuclear Theory (nucl-th), Nuclear and High Energy Physics, Parity dependence, Nuclear Theory, Physics, QC1-999, Nuclear level density, FOS: Physical sciences, Conjugate gradient method, Nuclear shell model
Nuclear Theory (nucl-th), Nuclear and High Energy Physics, Parity dependence, Nuclear Theory, Physics, QC1-999, Nuclear level density, FOS: Physical sciences, Conjugate gradient method, Nuclear shell model
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