Stochastic Estimation of Nuclear Level Density in the Nuclear Shell Model: An Application to Parity-Dependent Level Density in ${}^{58}$Ni

Abstract

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 $J^{\pi }=2^{+}$ and $2^{-}$ states in ${}^{58}$Ni in a unified manner.

13 pages, 4 figures

References in corpus (6)

• Shell-model calculations and realistic effective interactions
• Large low-energy $M1$ strength for ${}^{56,57}$Fe within the nuclear shell model
• Linear Algebraic Calculation of Green's function for Large-Scale Electronic Structure Theory
• Nuclear Level Density: Shell Model vs Mean Field
• Filter diagonalization of shell-model calculations
• Neutron single-particle strength in silicon isotopes: Constraining the driving forces of shell evolution

Cited by in corpus (16)

• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• Thick-Restart Block Lanczos Method for Large-Scale Shell-Model Calculations
• Novel Techniques for Constraining Neutron-Capture Rates Relevant for r-Process Heavy-Element Nucleosynthesis
• Classical and quantum spin dynamics of the honeycomb $\Gamma$ model
• Coordinate-Space Solver for Superfluid Many-Fermion Systems with Shifted Conjugate Orthogonal Conjugate Gradient Method
• Challenges in Nuclear Structure Theory
• Generalized-Seniority Pattern and Thermal Properties in Even Sn Isotopes
• Microscopic calculations of nuclear level densities with the Lanczos method
• $\mathbf{N}=32$ shell closure below calcium: Low-lying structure of ${}^{50}$Ar
• Calculation of microscopic nuclear level densities based on covariant density functional theory
• State densities of heavy nuclei in the static-path plus random-phase approximation
• Microscopic model for the collective enhancement of nuclear level densities
• Nuclear level density from relativistic density functional theory and combinatorial method
• Projected shell model description of nuclear level density: Collective, pair-breaking, and multiquasiparticle regimes in even-even nuclei
• Spin-orbit coupling rule in bound fermions systems
• Inference of Parameters for Back-shifted Fermi Gas Model using Feedback Neural Network