Stucture of $^9$C from the d($^{10}$C,\textit{t})$^{9}$C Reaction and the Reliability of Ab Initio Transfer Form Factors

A paucity of information exists on the structure of the neutron-deficient nucleus $^{9}$C which is accessible to \emph{ab-initio} calculations such as the Quantum Monte Carlo approach. In addition to excitation energies in the A=9 \& 10 systems, it is possible to calculate the spectroscopic overlaps relevant for the neutron-pickup reaction \emph{d}($^{10}$C,\emph{t})$^{9}$C. To test these predictions of the neutron-pickup spectroscopic factors, we have studied the $^{10}$C(\emph{d},\emph{t})$^9$C reaction, in inverse kinematics. A 171-MeV $^{10}$C beam was produced at the ATLAS In-Flight Facility with an intensity of 2$\times$10$^4$ pps and was incident on a deuterated polyethylene [CD$_{2}$]$_{n}$ target. The ground-state transition was clearly observed in a series of silicon detector arrays and angular-distribution data were extracted. The neutron-pickup spectroscopic factor was deduced from a comparison with distorted-wave calculations, with both traditional and QMC-derived bound-state form factors. A comparison between the results of these methods will be presented.