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[Submitted on 27 Oct 2022]

Overview: We have developed a variational theorem for the scattering length in the presence of dipole-dipole interactions. This theorem applies in three dimensions to a spinless dipolar Bose gas. We analytically calculated the long-range tails of the single-particle momentum distribution and the static structure factor, and the paired distribution function at the short range. The momentum distribution is inversely proportional to $q^4$ with an anisotropic prefactor. In the absence of dipole-dipole interactions, Tan’s adiabatic sweep theorem reproduces as a specific case. For homogeneous dilute Bose gas, all relationships are calculated analytically.

## Submission history

Posted by: Alexander Czerny Yu. [view email]

[v1]

Thursday, October 27, 2022 21:08:09 UTC (1,561 KB)

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