Low-energy resonances and bound states of aligned bosonic and fermionic dipoles

TL;DR

This paper investigates the low-energy scattering behavior of aligned bosonic and fermionic dipoles, revealing how generalized scattering lengths diverge near resonances and discussing implications for bound states and trapped systems.

Contribution

It provides a detailed analysis of generalized scattering lengths for aligned dipoles, highlighting their divergence at resonances and implications for energy spectra and pseudo-potential models.

Findings

Generalized scattering lengths diverge at resonances.

Dominant scattering lengths are a_{00} for bosons and a_{11} for fermions.

Implications for trapped systems and pseudo-potential treatments are discussed.

Abstract

The low-energy scattering properties of two aligned identical bosonic and identical fermionic dipoles are analyzed. Generalized scattering lengths are determined as functions of the dipole moment and the scattering energy. Near resonance, where a new bound state is being pulled in, all non-vanishing generalized scattering lengths diverge, with the $a_{00}$ and $a_{11}$ scattering lengths being dominant for identical bosons and identical fermions, respectively, near both broad and narrow resonances. Implications for the energy spectrum and the eigenfunctions of trapped two-dipole systems and for pseudo-potential treatments are discussed.