Abstract
The logarithmic singularity in the nuclear magnetic resonance spin relaxation rate predicted in BCS theory is removed through quasiparticle damping effects. We have carried out full calculations of the NMR rate based on numerical solutions of the Eliashberg equations as a function of coupling strength. As the coupling strength is increased, the Hebel-Slichter peak is rapidly reduced and becomes nonexistent before the end of the conventional strong coupling range is reached. Thus, a peak is not a general feature of the superconducting state for conventional materials, and its absence is not limited to the oxides.
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