The ${}_{}{}^{14}{}_{}{}^{}\mathrm{C}$(d,p${)}^{15}$C reaction has been used to search for $d_{3/2}$ strength in the particle-unbound region of ${}_{}{}^{15}{}_{}{}^{}\mathrm{C}$ where the 1p-2h $J^{\pi }$${\mathrm{}(3/2)\mathrm{}}^{+}$ state is expected to lie. Proton spectra have been obtained over the angular range 15°–110° with vector-polarized incident deuterons of energy 16 MeV. Two ${\mathrm{}(3/2)\mathrm{}}^{+}$ levels, one broad (Γ∼1.8 MeV) and one relatively narrow (Γ=64 keV), are observed at excitation energies of 4.78 and 5.81 MeV, respectively. These states can be identified with the 1p-2h and 3p-4h ${\mathrm{}(3/2)\mathrm{}}^{+}$ levels predicted by shell-model calculations. The level parameters were extracted using a method suggested by Huby and Kelvin. The combined strength of the two states is approximately 50% of the single-particle strength.

• Received 8 July 1985

DOI:https://doi.org/10.1103/PhysRevC.32.1764