Measuring the $^{134}{Te}(d,p\gamma)^{135}{Te}$ Reaction with GODDESS to Deduce the Single-Particle Structure of $^{135}{Te}$ and Inform Neutron Capture

$^{134}$Te ($t_{1/2}=42$ minutes), a beta-decay precursor to stable $^{134}$Xe, can be destroyed in an r-process environment by neutron capture. Constraint of the $^{134}$Te$(n,\gamma)^{135}$Te cross section is key to explaining an overabundance of $^{134,136}$Xe observed in pre-solar grains\footnote{U. Ott, Astrophys. J. \textbf{463}, 344 (1996).}. Due to its proximity to the $Z=50$ and $N=82$ closed shells, neutron capture on $^{134}$Te is expected to largely occur via direct capture into low-lying states in $^{135}$Te ($Z=52$, $N=83$), which can be constrained via the measurement of level energies, spin-parities, and spectroscopic factors using neutron transfer reactions such as $(d,p)$. Previous studies of $^{135}$Te revealed a fragmented level structure that cannot be resolved by charged particles alone\footnote{J.M. Allmond, \textit{et. al.}, Phys. Rev. C \textbf{86}, 031307 (2012).}. However, level energies can be constrained via the detection of gamma rays emitted by $^{135}$Te in coincidence with charged ejectiles. The $^{134}$Te$(d,p\gamma)^{135}$Te reaction was thus measured with the coupled GODDESS (GRETINA-ORRUBA: Dual Detectors for Experimental Structure Studies) detectors at the ATLAS facility at Argonne National Laboratory. Preliminary results will be presented.