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.

4 pages, 4 figures

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• Bose-Einstein condensation of chromium
• Strong dipolar effects in a quantum ferrofluid
• Quo vadis, cold molecules? - Editorial review
• Radial and angular rotons in trapped dipolar gases
• Dipolar Bose-Einstein condensates with dipole-dependent scattering length
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• Universal Efimov spectra and fermionic doublets in highly mass-imbalanced cold-atom mixtures with van der Waals and dipole interactions
• Attractive and repulsive angulons in superfluid environments
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