High-Performance Algorithm for Calculating Non-Spurious Spin- and Parity-Dependent Nuclear Level Densities

Abstract

A new high-performance algorithm for calculating the spin- and parity-dependent shell model nuclear level densities using methods of statistical spectroscopy in the proton-neutron formalism was recently proposed. When used in valence spaces that cover more than one major harmonic oscillator shell, this algorithm mixes the genuine intrinsic states with spurious center-of-mass excitations. In this paper we present an advanced algorithm, based on the recently proposed statistical moments method, that eliminates the spurious states. Results for unnatural parity states of several sd-shell nuclei are presented and compared with those of exact shell model calculations and experimental data.

8 pages, 5 figures

References in corpus (3)

• Spin projection in the shell model Monte Carlo method and the spin distribution of nuclear level densities
• Heavy deformed nuclei in the shell model Monte Carlo method
• Distribution of Resonance Widths and Dynamics of Continuum Coupling

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• Benchmarking mean-field approximations to level densities
• Low-lying spectroscopy of a few even-even silicon isotopes investigated by means of the multiparticle-multihole Gogny energy density functional
• Nuclear shape transitions, level density, and underlying interactions
• Quantum phase transitions and collective enhancement of level density in odd-A and odd-odd nuclei
• Moments Method for Shell-Model Level Density
• Constant temperature description of the nuclear level densities