Motivated by magnetic-resonance experiments for La2-deltaSrdeltaCuO4 a
t temperatures up to 900 K, we calculate the spin-lattice relaxation r
ate 1/T1 for Cu nuclei within the Gaussian approximation at high tempe
ratures (T greater than or similar to J/2) for the S = 1/2 Heisenberg
antiferromagnet and at T = infinity for the t-J model, taking into acc
ount the transferred as well as the direct hyperfine coupling. For the
Heisenberg model, including the transferred coupling weakens the temp
erature dependence of 1/T1 and leads to better agreement with the expe
rimental data than the calculation that only includes direct hyperfine
coupling. For the t-J model, the infinite-temperature 1/T1 within the
Gaussian approximation decreases markedly upon doping. We propose a n
on-Gaussian form for the spectral density that is consistent with the
exact moments and more in accord with the experiments, which find 1/T1
nearly independent of delta at T almost-equal-to J/2.