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 (4)

• Universal Properties of the Four-Body System with Large Scattering Length
• Collisions between tunable halo dimers: exploring an elementary four-body process with identical bosons
• Comment on "Efimov States and their Fano Resonances in a Neutron-Rich Nucleus"
• Neutron-Neutron Correlations in the Dissociation of Halo Nuclei