Abstract
The differential cross sections and $$p$$ – $$\gamma$$ angular-correlation functions were measured for the reactions $${}^{13}$$ C $$(d,p_{3}\gamma_{6.73})^{14}$$ C and $${}^{13}$$ C $$(d,p_{1}\gamma_{6.09})^{14}$$ C induced by deuterons accelerated to an energy of 15.3 MeV at the cyclotron of Skobeltsyn Institute of Nuclear Physics, Moscow State University. All even spin-tensor components of the density matrix were reconstructed for the $${}^{14}$$ C nucleus in the 3 $${}^{-}$$ state at 6.73 MeV, and various orientation features of this nuclear state were determined for the first time. These experimental results were compared with their counterparts calculated under the assumption of the neutron-stripping mechanism and on the basis of the compound-nucleus model.