  We investigate the Kondo effect of a spin-3/2 Fermi gas and give a detailed
calculation of the impurity resistance and ground state energy based on the s-d
exchange model. It is found that the impurity resistance increases
logarithmically with the decrease of temperature in the case of
antiferromagnetic coupling similar to the spin-1/2 system but has a larger
resistance minimum value due to the increase of spin scattering channels. In
the case of antiferromagnetic interaction, the ground state is still the Kondo
singlet state while the septuplet state has the lowest energy for ferromagnetic
coupling. And with the same antiferromagnetic s-d coupling parameter, the
energy of the Kondo singlet state is lower than spin-1/2, which indicates that
the larger spin, the easier it is to enter the Kondo-screened phase. This
provides some theoretical support for the realization of the Kondo effect with
ultra-cold atoms.
