A.G. Magner, A.I. Sanzhur, S.N. Fedotkin, A.I. Levon, S. Shlomo
Statistical level density ρ(E,A,M) is derived for nucleonic system with a given energy E, particle number A and angular momentum projection M to a symmetry axis in the mean-field approximation beyond the standard saddle-point method (SPM). This level density reaches the two limits; the well-known SPM grand-canonical ensemble limit for a large entropy S related to large excitation energies, and the finite micro-canonical limit for a small combinatorical entropy S at low excitation energies. The inverse level density parameter K as function of the particle number A in the semiclassical periodic orbit theory, taking into account shell effects, is calculated and compared with experimental data.
Comments: 7 pages, 2 figures
