Neutron asymptotic normalization coefficients and halo radii of the first excited states of 13C and 11Be

Abstract

We have performed coupled reaction channels calculations of the (d,p) reactions on 12C and 10Be at laboratory energies of 12, 25, and 30 MeV leading to the ground and first excited states of 13C and 11Be. We found spectroscopic factors Sexp, asymptotic normalization coefficients (ANCs) and root mean square radii of the last neutron in these states. Our calculations confirm the existence of neutron halos in the first excited state of 13C, as well as in the ground and the first excited states of 11Be. We found that the neutron transfer dominates at energies about 12 and 25 MeV and demonstrated that the states with enlarged radii are formed in the reactions of a peripheral type, which satisfy the criterion of a peripherality: C2=Sexpb2=const, where C is the ANC and b is the single-particle ANC.