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

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.

arXiv comment4 pages, 4 figures

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• Fermion Pairing across a Dipolar Interaction Induced Resonance
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• Composite boson description of a low density gas of excitons
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• Ultra-cold Collisions between Spin-Orbit-Coupled Dipoles: General Formalism and Universality
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• Universal Efimov spectra and fermionic doublets in highly mass-imbalanced cold-atom mixtures with van der Waals and dipole interactions
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• Analysis of two and three dipolar bosons in a spherical harmonic trap
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