Relative shift in transition temperature of weakly interacting Bose gas is proportional to s-wave scattering length in self-consistent Popov approximation, matching Monte Carlo simulations and experiments.
Griffin, Conserving and gapless approximations for an inhomogeneous bose gas at finite temperatures, Physical Review B 53, 9341 (1996)
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Transition temperature and thermodynamic properties of homogeneous weakly interacting Bose gas in self-consistent Popov approximation
Relative shift in transition temperature of weakly interacting Bose gas is proportional to s-wave scattering length in self-consistent Popov approximation, matching Monte Carlo simulations and experiments.