Speaker
Description
Motivated by the cluster structure of $^{13}$C, where a $^{12}$C core is coupled with a neutron at an excitation energy of 4.946 MeV, we investigated the effects of single-nucleon transfer between $^{13}$C and $^{12}$C nuclei. The neutron stripping transfer reaction, $^{12}$C($^{13}$C,$^{12}$C)$^{13}$C, was studied at center-of-mass energies (E$_{c.m.}$) ranging from 7.8 to 49.14 MeV. We analyzed both elastic scattering and elastic transfer data using the optical model (OM) and the Distorted Wave Born Approximation (DWBA). The analysis incorporated a cluster folding potential, which accounts for the cluster nature of the $^{13}$C nucleus-comprising a $^{12}$C core with a valence neutron orbiting around it. Our results show reasonable agreement with the experimental data across the entire energy range. Furthermore, we extracted the spectroscopic amplitude for the $^{13}$C->$^{12}$C+n configuration, and the obtained values are consistent with previously reported results.