Breakup and finite-range effects on the 8B(d,n)9C reaction

Abstract

The astrophysical factor of ${}^8$B($p$,$\gamma$)${}^9$C at zero energy, $S_{18}(0)$, is determined by a three-body coupled-channels analysis of the transfer reaction ${}^8$B($d$,$n$)${}^9$C at 14.4 MeV/nucleon. Effects of the breakup channels of $d$ and ${}^9$C are investigated with the continuum-discretized coupled-channels method. It is found that, in the initial and final channels, respectively, the transfer process through the breakup states of $d$ and ${}^9$C, its interference with that through their ground states in particular, gives a large increase in the transfer cross section. The finite-range effects with respect to the proton-neutron relative coordinate are found to be about 20%. As a result of the present analysis, $S_{18}(0)=22\pm 6\mathrm{eV}\mathrm{b}$ is obtained, which is smaller than the result of the previous distorted-wave Born approximation analysis by about 51%.

Comments: 8 pages, 7 figures