Determine the relationship between the LEMAR and level-density temperatures

Determine the relationship between the LEMAR parameter T_B, which characterizes the exponential low-energy magnetic-radiation strength, and the thermodynamic level-density temperature T_{LD}.

Background

The paper distinguishes two temperature-like parameters associated with chaotic nuclear states. The parameter T_B governs the exponential fall-off of the low-energy magnetic radiation (LEMAR) component of the M1 gamma-strength function, whereas T_{LD} is obtained thermodynamically from the derivative of the entropy defined through the nuclear level density. Across the Mo, Fe, Ge, Sn, Gd, and Sm examples, the two quantities generally differ, often by a factor of approximately two or three, although their ratio varies among models and isotopic chains.

The authors do not establish how the stochastic mechanism producing the LEMAR strength is related to the thermodynamic characterization of the level density. Clarifying this relationship would connect the observed gamma-strength behavior with the statistical properties and chaoticity of highly excited nuclear states.