The reduction of the dynamical equations of the Lane-Robson reaction formalism, reported previously, is extended to the important case in which the nuclear Hamiltonian contains absorptive and linearly energy dependent terms. The method is illustrated by an $R$-matrix analysis of two potential models fitted to ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ + ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ elastic scattering data in the energy region $10 \mathrm{MeV}<E_{\mathrm{c}.\mathrm{m}.\mathrm{}}<35\mathrm{} \mathrm{MeV}$. The $R$-matrix method provides an economical representation of the model solutions and yields further insight into the nature of the resonance structure predicted by these models.

NUCLEAR REACTIONS ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$(${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$), $E_{\mathrm{c}.\mathrm{m}.\mathrm{}}=10-35\mathrm{}$ MeV; calculated $R$-matrix parameters for optical potential models; deduced $\Gamma$, $\sigma \mathrm{}\left(E\right)\mathrm{}$.

• Received 15 July 1975

DOI:https://doi.org/10.1103/PhysRevC.12.1540