  We extend the Anderson impurity model to a large-spin Fermi system with spin
$f$=3/2, stimulated by the realization of large-spin ultracold Fermi atoms. The
condition required for the spontaneous formation of local magnetic moments is
examined and the ground state mean-field magnetic phase diagram is explored
carefully. We find that the spin-3/2 Fermi system involves magnetic phase
regions I, II, and III that correspond to one, two, and three particle/hole
occupation, respectively. In addition, it is observed that all the three
magnetic phases have four-fold degenerate ground states. Finally, the phase
transition between the three phases seems to be of the first-order.
