We consider the calculation of the longitudinal relaxation time T1 in
a polarized Fermi system at temperatures T ranging from the degenerate
statistics regime to the Boltzmann limit. We include the possibility
of arbitrary polarization M of the system. While the low temperature u
npolarized system behaves as T-2 as previous calculations have shown,
when relaxation takes place in zero external field, polarization leads
to substantially smaller values of T1 at low T, because of the openin
g up of the phase space between up and down Fermi spheres. For the deg
enerate system T1 is dependent on the value of M in contrast to result
s in the Boltzmann case.