The nuclear moment of inertia and spin distribution of nuclear levels

Abstract

We introduce a simple model to calculate the nuclear moment of inertia at finite temperature. This moment of inertia describes the spin distribution of nuclear levels in the framework of the spin-cutoff model. Our model is based on a deformed single-particle Hamiltonian with pairing interaction and takes into account fluctuations in the pairing gap. We derive a formula for the moment of inertia at finite temperature that generalizes the Belyaev formula for zero temperature. We show that a number-parity projection explains the strong odd-even effects observed in shell model Monte Carlo studies of the nuclear moment of inertia in the iron region.

arXiv comment12 pages, 6 figures

References in corpus (13)

• Spectroscopy of discrete energy levels in ultrasmall metallic grains
• Nuclear Level Density and the Determination of Thermonuclear Rates for Astrophysics
• Monte Carlo evaluation of path integrals for the nuclear shell model
• Practical solution to the Monte Carlo sign problem: Realistic calculations of 54Fe
• Total and Parity-Projected Level Densities of Iron-Region Nuclei in the Auxiliary Fields Monte Carlo Shell Model
• Critical temperature for quenching of pair correlations
• Particle-Number Reprojection in the Shell Model Monte Carlo Method: Application to Nuclear Level Densities
• Parity Dependence of Nuclear Level Densities
• Nuclear level statistics: extending the shell model theory to higher temperatures
• Signature of a Pairing Transition in the Heat Capacity of Finite Nuclei
• Thermal properties and radiative strengths in 160,161,162Dy
• Re-entrant spin susceptibility of a superconducting grain
• Temperature-induced pair correlations in clusters and nuclei

Cited by in corpus (18)

• Spin projection in the shell model Monte Carlo method and the spin distribution of nuclear level densities
• Skyrme-Hartree-Fock-Bogoliubov mass models on a 3D Mesh: Effect of triaxial shape
• Test of nuclear level density inputs for Hauser-Feshbach model calculations
• Pairing Reentrance Phenomenon in Heated Rotating Nuclei in the Shell Model Monte Carlo Approach
• Isomeric cross sections of fast-neutron induced reactions on ${}^{197}$Au
• Thermodynamics of ultrasmall metallic grains in the presence of pairing and exchange correlations: Mesoscopic fluctuations
• Microscopic calculation of symmetry projected nuclear level densities
• Spin distribution of nuclear levels using static path approximation with random-phase approximation
• State densities of heavy nuclei in the static-path plus random-phase approximation
• Abnormal Superfluid Fraction of Harmonically Trapped Few-Fermion Systems
• Temperature-dependence of small harmonically trapped atom systems with Bose, Fermi and Boltzmann statistics
• Finite-temperature mean-field approximations for shell model Hamiltonians: the code HF-SHELL
• Testing the spin-cutoff parameterization with shell-model calculations
• Magnetic response of energy levels of superconducting nanoparticles with spin-orbit scattering
• Pairing properties from random distributions of single-particle energy levels
• Thermal Signatures of Pairing Correlations in Nuclei and Nanoparticles
• Spin-orbit scattering in superconducting nanoparticles
• Long-standing problem: The nuclear level density angular-momentum dependence and isomeric data assessment