  We consider a large spin \bf S in the magnetic field parallel to the uniaxial
crystal field, interacting with N >> 1 nuclear spins \bf I_i via Hamiltonian
\cal H = -DS_z^2 - H_zS_z+ A{\bf S}\cdot \sum_{i=1}^N {\bf I}_i with A << D, at
temperature T. Tunneling splittings and the selection rules for the resonant
values of H_z are obtained perturbatively. The quantum coherence exists at T <<
ASI while at T >= ASI the coherence is destroyed and the relaxation of \bf S is
described by a stretched dependence which can be close to log t under certain
conditions. Relevance to Mn-12 acetate is discussed.
