Causality and universality in low-energy quantum scattering

Abstract

We generalize Wigner's causality bounds and Bethe's integral formula for the effective range to arbitrary dimension and arbitrary angular momentum. Moreover, we discuss the impact of these constraints on the separation of low- and high-momentum scales and universality in low-energy quantum scattering.

9 pages, 1 figure, published version

References in corpus (7)

• Theory of ultracold Fermi gases
• Quantum Monte Carlo calculations of neutron-alpha scattering
• p-wave Feshbach molecules
• Three fully polarized fermions close to a p-wave Feshbach resonance
• Strongly-resonant p-wave superfluids
• Analytic description of atomic interaction at ultracold temperatures: the case of a single channel
• Prediction of Feshbach resonances from three input parameters

Cited by in corpus (41)

• Efimov Physics: a review
• Effective field theory description of halo nuclei
• On the nature of near-threshold bound and virtual states
• Electric properties of the Beryllium-11 system in Halo EFT
• Remarks on pole trajectories for resonances
• Renormalization in the Three-body Problem with Resonant P-wave Interactions
• Impossibility of the Efimov effect for p-wave interactions
• Range corrections for two-neutron halo nuclei in effective theory
• Causality constraints for charged particles
• Strongly Interacting p-wave Fermi Gas in Two-Dimensions: Universal Relations and Breathing Mode
• Large-momentum distribution of a polarized Fermi gas and p-wave contacts
• Unitary Fermi gas, epsilon expansion, and nonrelativistic conformal field theories
• Resonance Contribution to Radiative Neutron Capture on Lithium-7
• Ab initio lattice results for Fermi polarons in two dimensions
• Dissecting reaction calculations using Halo EFT and ab initio input
• The proton-deuteron system in pionless EFT revisited
• The renormalisation group and nuclear forces
• Super Efimov effect for mass-imbalanced systems
• Resonant three-body physics in two spatial dimensions
• Probing open- and closed-channel p-wave resonances
• Unitary $p$-wave Fermi gas in one dimension
• Non-Hermitian topological Fermi superfluid near the $p$-wave unitary limit
• Emergent s-wave interactions between identical fermions in quasi-one-dimensional geometries
• D-dimensional three-body bound-state problem with zero range interactions
• Generalized Crossover in Interacting Fermions within the Low-Energy Expansion
• Optical spin transport theory of spin-1/2 topological Fermi superfluids
• Universality in s-wave and higher partial wave Feshbach resonances: an illustration with a single atom near two scattering centers
• P-wave contacts of quantum gases in quasi-one-dimensional and quasi-two-dimensional traps
• Scattering Hypervolume of Spin-Polarized Fermions
• Universal relations for a spin-polarized Fermi gas in two dimensions
• Scattering Hypervolume of Fermions in Two Dimensions
• Causality and dimensionality in geometric scattering
• Effective field theory with resonant P-wave interaction
• Causality bounds for neutron-proton scattering
• Causality, universality, and effective field theory for van der Waals interactions
• Non-Hermitian $p$-wave superfluid and effects of the inelastic three-body loss in a one-dimensional spin-polarized Fermi gas
• General features and contact modeling of $N$-body isolated resonances near threshold
• Contact interactions, self-adjoint extensions, and low-energy scattering
• Short-distance production of three particles with large scattering length
• Halo EFT for ${}^{31}$Ne in a spherical formalism
• Low Energy Continuum and Lattice Effective Field Theories