Breakup effects in the ${}^{16}\mathrm{C}+p$ and ${}^{16}\mathrm{C}+d$ reactions

Abstract

We analyze the ${}^{16}\mathrm{C}+p$ and ${}^{16}\mathrm{C}+d$ reactions within the four- and five-body Continuum Discretized Coupled Channel (CDCC) method. The ${}^{16}$C nucleus is described by a ${}^{14}\mathrm{C}+n+n$ configuration in hyperspherical coordinates. This description reproduces fairly well several ${}^{16}$C low-lying states. First we analyze the $2^{+}\to 0^{+}$ $E2$ transition amplitude, which confirms that an effective charge must be introduced to reproduce the experimental value. Then, proton and deuteron elastic and inelastic scattering are investigated by including ${}^{16}$C pseudostates, which simulate the ${}^{14}\mathrm{C}+n+n$ continuum. In ${}^{16}\mathrm{C}+d$, the deuteron breakup is taken into account with $p+n$ two-body pseudostates. A fair agreement with experiment is obtained without any fitting parameter. Breakup effects are in general small, but improve the agreement with experiment.

Comments: Accepted for publication in Physical Review C