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Pairing correlations have a strong influence on nuclear level densities.Empirical descriptions and theoretical models have been developed to take theseeffects into account. The present article discusses cases, where descriptionsof nuclear level densities are inconsistent or in conflict with the presentunderstanding of nuclear properties. Phenomenological approaches consider aback-shift parameter. However, the absolute magnitude of the back-shift, whichactually corresponds to the pairing condensation energy, is generally notcompatible with the observation that stable pairing correlations are present inessentially all nuclei. It is also shown that in the BCS model pairingcondensation energies and critical pairing energies are inconsistent for lightnuclei. A modification to the composite Gilbert-Cameron level-densitydescription is proposed, and the use of more realistic pairing theories issuggested.

Inconsistencies in the description of pairing effects in nuclear level densities