Solution to a long-standing problem:12C(14N,13N)13C1/2+

Abstract

The failure of finite-range distorted-wave Born approximation (DWBA) calculations to describe neutron transfer to ${2s}_{1/2}$ states in nuclei such as ${}^{13}\mathrm{C}{,}^{13}\mathrm{N}{,}^{17}\mathrm{O},$ and ${}^{27}\mathrm{Mg}$ is a long-standing problem. Detailed coupled-channels Born approximation and coupled-reaction-channels (CRC) calculations failed to improve on the much simpler DWBA calculations. This work presents results suggesting that the vital step necessary to obtain agreement between CRC calculations and data in the case of the ${2s}_{1/2}$ state in ${}^{13}\mathrm{C}$ is an increase in the radius of the potential binding the neutron to the ${}^{12}\mathrm{C}$ core, leading to a considerable extension of the neutron radial wave function. The source of this extension is shown to arise from the deformation of the ${}^{12}\mathrm{C}$ core.