Defining the $p$-wave scattering volume in the presence of dipolar interactions

Abstract

The definition of the scattering volume for $p$-wave collisions needs to be generalized in the presence of dipolar interactions for which the potential decreases with the interparticle separation as $1/R^3$. Here, we propose a generalized definition of the scattering volume characterizing the short-range interactions in odd-parity waves, obtained from an analysis of the $p$-wave component of the two-body threshold wave function. Our approach uses an asymptotic model and introduces explicitly the anisotropic dipole-dipole interaction, which governs the ultracold collision dynamics at long-range. The short-range interactions, which are essential to describe threshold resonances, are taken into account by a single parameter which is determined by the field-free $s$-wave scattering length.

arXiv comment14 pages, 2 figures

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Cited by in corpus (2)

• Probing open- and closed-channel p-wave resonances
• Controlling ultracold $p$-wave collisions with non-resonant light: Predictions of an asymptotic model for the generalized scattering volume