Trajectory of neutron−neutron−C excited three-body state

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−18C, 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−18C binding energy is increased. Results obtained for the n−19C 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. PACS 03.65.Ge, 21.45.+v, 11.80.Jy, 21.10.Dr