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

¹ Universidad Autónoma del Estado de México, C. P. 50000, Toluca, Mexico
² Instituto Tecnológico de Toluca, Metepec, Estado de México, C. P. 52140, Mexico
³ RRC Kurchatov Institute, Moscow RU - 123182, Russia
⁴ Lomonosov Moscow State University, Moscow 119901, Russia

^a e-mail: tbl@uaemex.mx

Published online: 20 March 2014

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 S_exp, 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=S_expb²=const, where C is the ANC and b is the single-particle ANC.