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

2008/06/24 by K. Kanjilal, Krittika Kanjilal, D. Blume · 2 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #Atomic physics #Boson #Bound state #Cold Atom Physics and Bose-Einstein Condensates #Dipole #Eigenfunction #Eigenvalues and eigenvectors #Energy (signal processing) #Fermion #Moment (physics) #Physics #Pseudopotential #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Resonance (particle physics) #Scattering #Scattering length #Scattering theory #cond-mat.other

paper · pdf · doi:10.1103/physreva.78.040703

4 pages, 4 figures

arxiv created 2008/06/24 · openalex publication_date 2008/10/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 nonvanishing generalized scattering lengths diverge, with the a₀₀ and a₁₁ scattering lengths being dominant for identical bosons and identical fermions, respectively. Implications for the energy spectrum and the eigenfunctions of trapped two-dipole systems and for pseudopotential treatments are discussed.

Citations

• Non-divergent pseudo-potential treatment of spin-polarized fermions under 1D and 3D harmonic confinement
• Strong dipolar effects in a quantum ferrofluid
• Editorial: Quo vadis, cold molecules?
• Enhancement of the Electric Dipole Moment of the Electron in PbO
• Collisional Control of Ground State Polar Molecules and Universal Dipolar Scattering

Cited by

• Composite Boson Description of a Low-Density Gas of Excitons
• Universal Bound States with Bose-Fermi Duality in Microwave-Shielded Polar Molecules

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