The nuclear moment of inertia and spin distribution of nuclear levels

Details The nuclear moment of inertia and spin distribution of nuclear levels The nuclear moment of inertia and spin distribution of nuclear levels

2005-08-13

arxiv.org/abs/nucl-th/0508027v1

Phys.Rev. C72 (2005) 064326

Physics

Nuclear Physics

Nuclear Theory

12 pages, 6 figures

Scientific paper

10.1103/PhysRevC.72.064326

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.

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