Differential elastic scattering cross sections for neutrons scattered from ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$ have been measured at 9 angles from 20° to 160° for $1.25 \mathrm{MeV}\le E_n\le 6.5 \mathrm{MeV}$ MeV. These data together with high-resolution total cross section measurements were analyzed by means of a multichannel-multilevel $R$-matrix program to determine $J$, $\pi$, ${\gamma }_{\lambda c}$, and other parameters of many newly assigned states up to $E_x=14\mathrm{}$ MeV in ${}_{}{}^{14}{}_{}{}^{}\mathrm{C}$. This extensive and in-depth investigation of ${}_{}{}^{14}{}_{}{}^{}\mathrm{C}$ provided a basis for comparison to nuclear model predictions over a wide range of excitation energy. A core-coupling model was employed to calculate states in ${}_{}{}^{14}{}_{}{}^{}\mathrm{C}$ as well as nucleon spectroscopic factors for reactions leading to these states. Calculations of states in ${}_{}{}^{14}{}_{}{}^{}\mathrm{C}$ via both effective interactions and a weak coupling model, together with those from the core-coupling model, were compared to results of the $R$-matrix analysis. Much of the structure observed in the experimental work is predicted by the models.

NUCLEAR REACTIONS ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}\mathrm{}(n,n)\mathrm{}{}_{}{}^{13}{}_{}{}^{}\mathrm{C}$, $1.25<~E_n<~6.5$ MeV, measured $\sigma \left(\theta \right)$, $R$-matrix analysis, ${}_{}{}^{14}{}_{}{}^{}\mathrm{C}$ deduced $J^{\pi }$, ${\gamma }_{\lambda c}$.

NUCLEAR STRUCTURE ${}_{}{}^{14}{}_{}{}^{}\mathrm{C}$, calculated negative parity states, core coupling. Comparison to other models.

• Received 16 October 1980

DOI:https://doi.org/10.1103/PhysRevC.23.1883