Thermal properties of a rotating nucleus in a fluctuating mean field approach

The static path approximation to the path integral representation of partition function provides a natural microscopic basis to deal with thermal fluctuations around mean field configurations. Using this approach for one-dimensional cranking Hamiltonian with quadrupolequadrupole interaction term we have studied a few properties like energy, level density, level density parameter(a) and moment of inertia as a function of temperature and spin for 64Zn taking it as an illustrative example. We have also investigated the effects of variation in interaction strength on the level density and the parameter a as a function of temperature. The moment of inertia, I versus rotational frequency, ω plot shows a sudden rise in the value of I due to rotation alignment of 0g9/2 orbitals at ω ≈ 1.0 MeV for a small temperature T ∼ 0.5 MeV. At high T ∼ 2.0 MeV about 40-45% of each angular momentum is generated by alignment of 0g9/2 orbitals with an interesting result that at ω ∼ 1.0 MeV and spin J ∼ 16 the moment of inertia has almost a constant, temperature independent value. PACS number: 21.10.Ma e-mail: [email protected]