Abstract

The astrophysical factor of $^{8}\mathrm{B}{(p,\ensuremath{\gamma})}^{9}\mathrm{C}$ at zero energy, ${S}_{18}(0)$, is determined by a three-body coupled-channels analysis of the transfer reaction $^{8}\mathrm{B}{(d,n)}^{9}\mathrm{C}$ at 14.4 MeV/nucleon. Effects of the breakup channels of $d$ and $^{9}\mathrm{C}$ 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 $^{9}\mathrm{C}$, 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, ${S}_{18}(0)=22\ifmmode\pm\else\textpm\fi{}6\phantom{\rule{0.28em}{0ex}}\mathrm{eV}\phantom{\rule{0.16em}{0ex}}\mathrm{b}$ is obtained, which is smaller than the result of the previous distorted-wave Born approximation analysis by about 51%.

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