## Eikonal solutions to optical model coupled-channel equationsFrancis A. Cucinotta, United States. National Aeronautics and Space Administration. Scientific and Technical Information Division National Aeronautics and Space Administration, Scientific and Technical Information Division, 1988 - Science - 27 pages |

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Analytic forms appendix bordered interaction matrix bordered matrix Cayley-Hamilton theorem channel truncation characteristic equation charge form factors cofactor expansion coherent approximation coupled-channel scattering amplitudes Cucinotta diagonal distorted wave Born distributions for excitation do/dQ effects eigenvalues eigenvectors eikonal approximation eikonal coupled-channel eikonal form eikonal phase matrix Eikonal Scattering Amplitudes elastic channel elastic scattering elements of f(q equation 17 equation A19 equation B2 excited state wave exp(ix Experimental data experimental ref factors and two-body fragmentation cross sections high-energy identifying the elements inelastic angular distributions inelastic transitions infinite series jXopt Khandelwal Khin Langley Research Center mb/sr MeV p-12C scattering MeV ref NASA obtained Old Dominion University optical theorem pair correlation function parameterization parameters phase matrix elements polynomial projectile and target reaction cross section Research Center Hampton scattering amplitude matrix second-order solutions square matrix summation Sylvester's theorem Theoretical and experimental two-body amplitude wave Born approximation wave functions wave vector XjPMP,JTMT(h Xopt