  We study the Bardeen-Cooper-Shrieffer (BCS) pairing state of a two-component
Bose gas with a symmetric spin-orbit coupling. In the dilute limit at low
temperatures, this system is essentially a dilute gas of diatomic molecules. We
compute the effective mass of the molecule and find that it is anisotropic in
momentum space. The critical temperature of the pairing state is about eight
times smaller than the Bose-Einstein condensation (BEC) transition temperature
of an ideal Bose gas with the same density.

Quantum Gases