Neutron${-}^{19}$C scattering near an Efimov state

Abstract

The low-energy neutron${-}^{19}$C scattering in a neutron-neutron-core model is studied with large scattering lengths near the conditions for the appearance of an Efimov state. We show that the real part of the elastic $s-$wave phase-shift (${\delta }_0^R$) presents a zero, or a pole in $k\cot {\delta }_0^R$, when the system has an Efimov excited or virtual state. More precisely the pole scales with the energy of the Efimov state (bound or virtual). We perform calculations in the limit of large scattering lengths, disregarding the interaction range, within a renormalized zero-range approach using subtracted equations. It is also presented a brief discussion of these findings in the context of ultracold atom physics with tunable scattering lengths.

References in corpus (26)

• Universality in Few-body Systems with Large Scattering Length
• Evidence for Efimov quantum states in an ultracold gas of cesium atoms
• Effective Field Theory for Few-Nucleon Systems
• Three-body recombination in Bose gases with large scattering length
• Dilute Quantum Droplets
• Universal Properties of the Four-Body System with Large Scattering Length
• Three-body recombination into deep bound states in a Bose gas with large scattering length
• The Dilute Bose-Einstein Condensate with Large Scattering Length
• ${}^{22}$C: $S$-Wave Two-Neutron Halo
• Limit cycles in quantum theories
• Universal aspects of Efimov states and light halo nuclei
• Four-boson scale near a Feshbach resonance
• Precise numerical results for limit cycles in the quantum three-body problem
• Collisions between tunable halo dimers: exploring an elementary four-body process with identical bosons
• Efimov states and their Fano resonances in a neutron-rich nucleus
• The three-body problem with short-range forces: renormalized equations and regulator-independent results
• Scaling limit of virtual states of triatomic systems
• Existence and stability of atomic-molecular Bose-Einstein condensates
• Triatomic continuum resonances for large negative scattering lengths
• Efimov States in a Bose-Einstein Condensate near a Feshbach Resonance
• Trajectory of neutron$-$neutron${-}^{18}C$ excited three-body state
• Regularized zero-range model and an application to the triton and the hypertriton
• Three-boson recombination at ultralow temperatures
• Neutron-neutron correlation in the halo dissociation of light exotic nuclei
• Comment on "Efimov States and their Fano Resonances in a Neutron-Rich Nucleus"
• Neutron-Neutron Correlations in the Dissociation of Halo Nuclei

Cited by in corpus (16)

• Efimov Physics: a review
• Efimov States in Nuclear and Particle Physics
• Low-Energy Universality in Atomic and Nuclear Physics
• Efimov Physics and Connections to Nuclear Physics
• Universal nature and finite-range corrections in elastic atom-dimer scattering below the dimer breakup threshold
• Efimov physics from a renormalization group perspective
• Fate of the neutron-deuteron virtual state as an Efimov level
• Recombination rates from potential models close to the unitary limit
• Probing the Efimov discrete scaling in atom-molecule collision
• Neutron${-}^{19}$C scattering: emergence of universal properties in a finite range potential
• Neutron-${}^{19}\mathrm{C}$ scattering: Towards including realistic interactions
• Effective range expansion with a long-range force
• Universality in the neutron${-}^{19}$C scattering using finite range separable interactions
• Three-Fermion Bound States on the Light Front
• Fixed-Point Few-Body Hamiltonians in Quantum Mechanics
• Neural-network solution of subtracted three-body Faddeev integral equations near the Efimov limit