Relativistic Continuum Shell Model

The $R$-matrix formalism of Lane and Thomas\footnote{A. M. Lane and R. G. Thomas, {\it R-Matrix Theory of Nuclear Reactions}, Reviews of Modern Physics, {\bf 30} (1958) 257} has been extended to the relativistic case so that the many-coupled channels problem may be solved for systems in which binary breakup channels satisfy a relative Dirac equation. The formalism was previously applied\footnote{J. Grineviciute and Dean Halderson, {\it Dirac Oscillators and the Relativistic $R$ Matrix}, Phys. Rev. C {\bf 80} (2009) 044607} to the relativistic impulse approximation $\left(RIA\right)$ and now we applied it to Quantum Hadrodynamics $\left(QHD\right)$ in the continuum Tamm--Dancoff approximation $\left(TDA\right)$ with the classical meson fields replaced by one-meson exchange potentials. None of the published $QHD$ parameters provide a decent fit to the $15N+p$ elastic cross section. The deficiency is also evident in inability of the $QHD$ parameters with the one meson exchange potentials to reproduce the $QHD$ single particle energies. Results with alternate parameters sets are presented.