Momentum Distribution for Bosons with Positive Scattering Length in a Trap

Abstract

The coordinate-momentum double distribution function $\rho (\mathbf{r},\mathbf{p})d^{3}r{d}^{3}p$ is calculated in the local density approximation for bosons with positive scattering length $a$ in a trap. The calculation is valid to the first order of $a$. To clarify the meaning of the result, it is compared for a special case with the double distribution function ${\rho }_w{d}^{3}r{d}^{3}p$ of Wigner.

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