Differential cross sections for neutrons elastically scattered from ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$ and inelastically scattered to the first three excited states ${}_{}{}^{13}{}_{}{}^{}$${\mathrm{C}}^{\mathrm{*}}$(3.09, 3.68, and 3.85 MeV) were measured at 69 incident energies for 4.5≤$E_n$≤11 MeV. A multiple scattering code provided a simulation of the experimental scattering process allowing accurate corrections to the small measured inelastic cross sections. The integrated ${}_{}{}^{13}{}_{}{}^{}$C(n,α${)}^{10}$Be cross section was determined by subtracting the sum of the measured integrated cross sections from the total. Shell-model calculations were used to generate the R-matrix parameters for the elastic and first three inelastic channels of ${}_{}{}^{13}{}_{}{}^{}$C+n, and, after some minor adjustments, the predicted structure generally agreed with experiment for $E_n$<4 MeV. Previous elastic ${}_{}{}^{13}{}_{}{}^{}$C+n data were refitted to replace constant $R_0$ R-matrix background terms by more realistic broad states and to achieve better agreement with model calculations and the data. R-matrix fitting of the full data set produced new ${}_{}{}^{14}{}_{}{}^{}\mathrm{C}$ level information. For $E_n$>4 MeV ($E_x$>12 MeV), five states were given definite $J^{\pi }$ assignments and three states tentative assignments.

• Received 27 May 1988

DOI:https://doi.org/10.1103/PhysRevC.39.766