Is the Saddle-Point-Method a Proper Approximation for Nuclear Level Density

摘要

The nuclear level density is formulated and studied in terms of the antisymmetrized temperature dependent density matrix of many fermions in a harmonic oscillator well. Experimentally observed characteristic features of nuclear level density are reproduced. In addition the excitation energy dependence of the level density parameter a is found. The relationship between this treatment and a conventional level density formula is discussed. (Atomindex citation 18:067635)