Trajectory of neutron$-$neutron${-}^{18}C$ excited three-body state

Abstract

The trajectory of the first excited Efimov state is investigated by using a renormalized zero-range three-body model for a system with two bound and one virtual two-body subsystems. The approach is applied to $n-n{-}^{18}$C, where the $n-n$ virtual energy and the three-body ground state are kept fixed. It is shown that such three-body excited state goes from a bound to a virtual state when the $n{-}^{18}$C binding energy is increased. Results obtained for the $n{-}^{19}$C elastic cross-section at low energies also show dominance of an $S-$matrix pole corresponding to a bound or virtual Efimov state. 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)

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• Three-boson recombination at ultralow temperatures
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Cited by in corpus (17)

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• Low-Energy Universality in Atomic and Nuclear Physics
• Constraints on two-neutron separation energy in the Borromean ${}^{22}$C nucleus
• Universality of Brunnian ($N$-body Borromean) four and five-body systems
• Efimov physics from a renormalization group perspective
• Neutron${-}^{19}$C scattering near an Efimov state
• Fate of the neutron-deuteron virtual state as an Efimov level
• Probing the Efimov discrete scaling in atom-molecule collision
• Three-body systems in physics of cold atoms and halo nuclei
• Trajectory of virtual, bound and resonant Efimov states
• Universality in the neutron${-}^{19}$C scattering using finite range separable interactions
• Scaling functions of two-neutron separation energies of ${}^{20}C$ with finite range potentials