Three-body description of direct nuclear reactions: Comparison with the continuum discretized coupled channels method

Abstract

The continuum discretized coupled channels (CDCC) method is compared with the exact solution of the three-body Faddeev equations in momentum space. We present results for (i) elastic and breakup observables of $d+$$^{12}\mathrm{C}$ at ${E}_{d}=56$ MeV, (ii) elastic scattering of $d+$$^{58}\mathrm{Ni}$ at ${E}_{d}=80$ MeV, and (iii) elastic, breakup, and transfer observables for $^{11}\mathrm{Be}$$+p$ at ${E}_{{}^{11}\mathrm{Be}}/A=38.4$ MeV. Our comparative studies show that in the first two cases, the CDCC method is a good approximation of the full three-body Faddeev solution, but for the $^{11}\mathrm{Be}$ exotic nucleus, depending on the observable or the kinematic regime, it may miss some of the dynamic three-body effects that appear through the explicit coupling to the transfer channel.