Dimensional Effects on the Momentum distribution of Bosonic Trimer   States
  The momentum distribution is a powerful probe of strongly-interacting systems that are expected to display universal behavior. This is contained in the contact parameters which relate few- and many-body properties. Here we consider a Bose gas in two dimensions and explicitly show that the two-body contact parameter is universal and then demonstrate that the momentum distribution at next-to-leading order has a logarithmic dependence on momentum which is vastly different from the three-dimensional case. Based on this, we propose a scheme for measuring the effective dimensionality of a quantum many-body system by exploiting the functional form of the momentum distribution. 
F. F. Bellotti and T. Frederico and M. T. Yamashita and D. V. Fedorov   and A. S. Jensen and N. T. Zinner
cond-mat.quant-gas cond-mat.str-el nucl-th quant-ph