Microscopic calculations of nuclear level densities with the Lanczos method

W. E. Ormand and B. A. Brown

Phys. Rev. C 102, 014315 – Published 23 July 2020

Abstract

A new method for computing the density of states in nuclei making use of an extrapolated form of the tridiagonal matrix obtained from the Lanczos method is presented. It will be shown that the global, average properties of the entire Lanczos matrix can be predicted from just four Lanczos iterations. The extrapolated Lanczos matrix (ELM) approach provides for an accurate computation of the density of states described within the configuration space, which, in some cases, is sufficient to accurately calculate the density of states at, or near, the neutron separation energy. Comparisons between theory and experiment are shown for ${}^{57}{Fe}, {}^{74}{Ge}$ , and ${}^{76}{Ge}$ . In addition, we show results for the $J$ -dependence of moments and the level density for these three nuclei.

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Received 4 March 2018
Revised 19 December 2019
Accepted 17 June 2020

DOI:https://doi.org/10.1103/PhysRevC.102.014315

Physics Subject Headings (PhySH)

Energy levels Nuclear structure & decays

39 ≤ A ≤ 58 59 ≤ A ≤ 89

Shell model

Nuclear Physics

Authors & Affiliations

W. E. Ormand ^1,2,* and B. A. Brown ²

¹Lawrence Livermore National Laboratory, P.O. Box 808, L-414, Livermore, California 94551, USA
²Department of Physics and the National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 42284-1321, USA

^*[email protected]

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Vol. 102, Iss. 1 — July 2020

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Physical Review C

covering nuclear physics