Modeling interactions for resonant p-wave scattering

Abstract

In view of recent experiments on ultra-cold polarized fermions, the zero-range potential approach is generalized to situations where two-body scattering is resonant in the p-wave channel. We introduce a modified scalar product which reveals a deep relation between the geometry of the Hilbert space and the interaction. This formulation is used to obtain a simple interpretation for the transfer rates between atomic and molecular states within a two branches picture of the many-body system close to resonance. At resonance, the energy of the dilute gas is found to vary linearly with density.

4 pages

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Cited by in corpus (37)

• Efimov Physics: a review
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• The unitary gas in an isotropic harmonic trap: symmetry properties and applications
• Few-body physics with ultracold atomic and molecular systems in traps
• Evidence for universal relations describing a gas with $p$-wave interactions
• Three fully polarized fermions close to a p-wave Feshbach resonance
• Orbital order in Mott insulators of spinless p-band fermions
• Universal Properties of a Strongly Interacting Fermi Gas at a $p$-wave Resonance
• Universal high-momentum asymptote and thermodynamic relations in a spinless Fermi gas with a resonant $p$-wave interaction
• Resonant Scattering of Ultracold Atoms in Low Dimensions
• Renormalization in the Three-body Problem with Resonant P-wave Interactions
• Manipulation of p-wave scattering of cold atoms in low dimensions using the magnetic field vector
• Impossibility of the Efimov effect for p-wave interactions
• Coupled $\ell$-wave confinement-induced resonances in cylindrically symmetric waveguides
• Large-momentum distribution of a polarized Fermi gas and p-wave contacts
• The Unitary Gas and its Symmetry Properties
• Analytical solutions for two atoms in a harmonic trap: p-wave interactions
• Exact Solution for 1D Spin-Polarized Fermions with Resonant Interactions
• The scattering amplitude of ultracold atoms near the p-wave magnetic Feshbach Resonance
• High temperature thermodynamics of strongly interacting s-wave and p-wave Fermi gases in a harmonic trap
• Fermions in Deep Optical Lattice under p-wave Feshbach Resonance
• Three-body forces and Efimov physics in nuclei and atoms
• An analytical approach to atomic multichannel collisions in tight harmonic waveguides
• Emergent s-wave interactions between identical fermions in quasi-one-dimensional geometries
• Universality in s-wave and higher partial wave Feshbach resonances: an illustration with a single atom near two scattering centers
• Scattering Hypervolume of Spin-Polarized Fermions
• Complex scaling flows in the quench dynamics of interacting particles
• Momentum-space probability density of ${}^6$He in Halo Effective Field Theory
• Universality of isolated $N$-body resonances at large scattering length
• Studies of Single Component Fermi Gas near a $P$-wave Resonance with Lowest Order Constrained Variational Method
• Stability of a Fully Polarized Ultracold Fermi Gas near Zero-Crossing of a p-wave Feshbach Resonance
• One-dimensional ultracold atomic gases: Impact of the effective range on integrability
• Analytical treatment of bosonic d-wave scattering in isotropic harmonic waveguides
• Collective P-Wave Orbital Dynamics of Ultracold Fermions
• Three-body recombination in a single-component Fermi gas with $p$-wave interaction
• General features and contact modeling of $N$-body isolated resonances near threshold
• Shallow Trimers of Two Identical Fermions and One Particle in Resonant Regimes