Spin Projection in the Shell Model Monte Carlo Method and the Spin Distribution of Nuclear Level Densities

2006/07/27 by Y. Alhassid, S. Liu, H. Nakada · 3 citations
Chemistry · Physics and Astronomy · #Advanced Chemical Physics Studies #Advanced NMR Techniques and Applications #Atomic physics #Classical mechanics #Cutoff #Distribution (mathematics) #Excitation #Materials science #Moment (physics) #Moment of inertia #Monte Carlo method #Nuclear physics #Nuclear physics research studies #Physics #Projection (relational algebra) #Quantum mechanics #SHELL model #Shell (structure) #Spin (aerodynamics) #Statistical physics #Thermodynamics #nucl-th

paper · pdf · doi:10.1103/physrevlett.99.162504

published as Phys.Rev.Lett.99:162504,2007 · 4 pages, 4 figures

arxiv created 2006/07/27 · openalex publication_date 2007/10/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We introduce spin projection methods in the shell model Monte Carlo approach and apply them to calculate the spin distribution of level densities for iron-region nuclei using the complete (pf + g9/2) shell. We compare the calculated distributions with the spin-cutoff model and extract an energy-dependent moment of inertia. For even-even nuclei and at low excitation energies, we observe a significant suppression of the moment of inertia and odd-even staggering in the spin dependence of level densities.

Citations

• Microscopic nuclear level densities from Fe to Ge by the shell model Monte Carlo method
• The statistical model and nuclear level densities

Cited by

• RAINIER: A simulation tool for distributions of excited nuclear states and cascade fluctuations
• Shell-model Monte Carlo simulations of the BCS-BEC crossover in few-fermion systems
• Projection of angular momentum via linear algebra