Study of 13B(d,p)14B Reaction in Inverse Kinematics with Helios

The $^{14}$B nucleus was studied employing the $(d, p)$ reaction in inverse kinematics using HELIOS at the ATLAS facility at ANL. A beam of $^{13}$B with energy 15.7 MeV/nucleon was produced using the In-Flight method. Protons from the $^{13}$B$(d, p)$$^{14}$B reaction were detected and analyzed using the HELIOS device. Detecting and identifying the recoiling $^{13}$B and $^{14}$B nuclei in a silicon $\Delta$E-E telescope at forward angles distinguished bound and unbound states in $^{14}$B. Angular-momentum transfers and relative spectroscopic factors were deduced for the four lowest states in $^{14}$B. The ground and first excited states, 2$^-$ and 1$^-$ respectively, are presumably made up of $\pi$(0p$_{3/2}$)-$\nu$(1s$_{1/2}$) configurations, while coupling of the proton hole to a d$_{5/2}$ neutron produces (1,2,3,4)$^-$. The 0d$_{5/2}$-1s$_{1/2}$ splitting in $^{14}$B is expected to be small, producing mixing between the (1,2)$^-$ $\ell$ = 0 and 2 configurations. The measured spectroscopic factors for neutron transfer will be compared to the predictions of the shell model calculations.