Interpret the relationship between the LEMAR and thermodynamic temperatures

Interpret the relationship between the LEMAR parameter T_B and the thermodynamic temperature T_{LD} across the nuclear isotopes and shell-model calculations considered.

Background

The summary identifies T_B as a possible measure of the chaoticity of compound nuclear states and contrasts it with T_{LD}, which is derived from the level density. The reported calculations and experimental analyses show that T_B is usually smaller than T_{LD}, while the triaxial projected shell-model results for gadolinium indicate a particularly large disparity attributed to weaker randomization by the Pairing+Quadrupole-Quadrupole interaction.

Although the paper documents these numerical differences and offers qualitative interpretations, it does not explain their general origin or establish a theory relating the two parameters. The unresolved interpretation is therefore presented as a broader open problem.