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

TL;DR

This study uses advanced four- and five-body CDCC methods to analyze breakup effects in $^{16}$C reactions with protons and deuterons, accurately reproducing experimental data without fitting parameters.

Contribution

It introduces a detailed $^{14}$C + n + n model for $^{16}$C and incorporates breakup effects in reaction analysis using pseudostates, enhancing understanding of these nuclear processes.

Findings

Breakup effects are generally small but improve agreement with experimental data.

The $^{16}$C structure is well reproduced by the $^{14}$C + n + n model.

A consistent description of elastic and inelastic scattering is achieved without fitting parameters.

Abstract

We analyze the $^{16}{\rm C}+p$ and $^{16}{\rm C}+d$ reactions within the four- and five-body Continuum Discretized Coupled Channel (CDCC) method. The $^{16}$C nucleus is described by a $^{14}{\rm C}+n+n$ configuration in hyperspherical coordinates. This description reproduces fairly well several $^{16}$C low-lying states. First we analyze the $2^+\rightarrow 0^+$ $E2$ 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 $^{14}{\rm C}+n+n$ continuum. In $^{16}{\rm C}+d$, 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.