Abstract
This paper reviews theoretical studies of nuclear spin-lattice relaxation we have made for the normal state of the cuprate high-temperature superconductors YBa2Cu3O7, YBa2Cu4O8, and La2-xSrx CuO4. In the case of planar sites, we calculated the dynamic spin susceptibility within a constraint-free theory based on the presentation of the model in terms of Hubbard operators. The results for 63Cu, 17O, and 89Y are in good agreement with experimental data. The relaxation (and the Knight shift) of chain Cu in YBa2Cu3O7 and YBa2Cu4O8 requires a different treatment; our approach uses the Luttinger-liquid model. Again, good agreement with experiment is achieved
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