Abstract
Anisotropic nuclear relaxation times have been measured in solid 3He samples grown at constant pressure, in the Larmor frequency range 1.5 MHz-5 MHz and where the main relaxation mechanism is the modulation of the dipolar interaction by exchange or by motion of the vacancies. The second order calculation made by Harris for the exchange induced relaxation regime is extended to the regime where vacancy motion dominates. The theory is further refined by considering the fourth moment anisotropy effect on the spectral densities. This latter calculation yields a frequency dependent anisotropic contribution to T1 which agrees qualitatively with the data, unlike the simpler results by Harris

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