We present a joint experimental and theoretical study of spin depolarization in collisions of alkali-metal atoms with
3He in a magnetic field. A rigorous quantum theory for spin-changing transitions is developed and applied to calculate the spin exchange and spin relaxation rates of Li and K atoms in cryogenic
3He gas. Magnetic trapping experiments provide upper bounds to the spin exchange rates for $\mathrm{Li}\text{\ensuremath{-}}^{3}\mathrm{He}$ and $\mathrm{K}\text{\ensuremath{-}}^{3}\mathrm{He}$, which are in agreement with the present theory. Our calculations demonstrate that the alkali-metal atoms have extremely slow spin depolarization rates, suggesting a number of potential applications in precision spectroscopy and quantum optics.
Slow collisions of different isotopes of the same species are considered. The adiabatic representation of wave functions is used. There is no restriction to inversion-symmetry-conserving collisions because of the isotopic difference. Such parity-changing collisions are considered and, since levels of different parity can cross, it is shown that the cross sections may be large. The "switching functions," previously used, are shown to play an important role in this reaction and their interpretation is discussed.