Analysis of g2 for the cold collision frequency shift in the hydrogen condensate experiments

We compute an approximate set of longitudinal quasiparticle modes for a hydrogen condensate as produced in the MIT experiments. An expansion in quasiparticles using a simple one-dimensional Bogoliubov picture shows however that at the high temperatures (approximate to44 muK) and in the very shallow trap employed (omega(z) = 2pi x 10.2 Hz) the contribution to the density from the quasiparticles is about 20% of that from the condensate mode, leading to an effective g(2)(x, x) which varies between 1 and 3 depending on the position in the condensate.