The $^{12}$C($^{6}$He,$^{4}$He) transfer reaction at 5 MeV per nucleon at the ISAC-II TRIUMF facility

The $^{12}$C($^{6}$He,$^{4}$He)$^{14}$C transfer reaction was studied using the ${\bf S}$ilicon ${\bf H}$ighly-segmented ${\bf A}$rray for ${\bf R}$eactions and ${\bf C}$oulex (SHARC), a compact charged particle silicon detector array, and the ${\bf T}$RIUMF-${\bf I}$SAC ${\bf G}$amma-${\bf r}$ay ${\bf E}$scape ${\bf S}$uppressed ${\bf S}$pectrometer (TIGRESS), a high-efficiency $\gamma$-ray detector, at the TRIUMF/ISAC-II facility. The goal of the experiment is to compare the two-neutron transfer cross sections using ($^{6}$He,$^{4}$He) to the more traditional (t,p) on $^{12}$C. The study requires good angular resolution coupled with particle identification, both of which are provided by SHARC with its 10,000 Si pixels instrumented by over 800 DAQ channels including a number of $\Delta$E-E telescopes. Since the identification of the individual $^{14}$C excited states requires coincident detection of $\gamma$ events, the HPGe BGO-suppressed TGIRESS detectors contribute $\gamma$ detection over a large solid angle. The combination of the two detector arrays allows accurate reconstruction of reaction kinematics, including Doppler correction. Preliminary results of the experiment will be presented.