  Alkali-earth atoms have a long-lived electronic excited state, which can be
localized in the Fermi sea of ground state atoms by an external potential and
serve as magnetic impurities, due to the spin-exchange interaction between the
excited and the ground state atoms. This can give rise to the Kondo effect.
However, in order to achieve this effect in current atomic gas experiment, it
requires the Kondo temperature to be increased to a sizable portion of the
Fermi temperature. In this letter we propose that the spin-exchange interaction
can be strongly enhanced by utilizing the confinement-induced resonance (CIR).
We analyze this system by the renormalization group approach, and we show that
nearby a CIR, the Kondo temperature can indeed be increased to the regime
attainable by current experiments.
