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Theory of elastic scattering
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approximation asymptotic form atomic nucleus average value centre-of-mass system co-ordinates compound nucleus compound system computed consider corresponding Coulombian cross-section for elastic density matrix dependence determine deuteron differential cross-section E. P. Wigner elastic cross-section elastic scattering elementary theory energy range equal equation of motion experiment expression Fernbach fully polarized particles given Green function high energies incident nucleon incident particle incident wave ingoing channel integral equation internal reaction space Legendre polynomials logarithmic derivative low energies mass number nuclear reactions nucleons number of particles obtain optical model optical potential particles with spin Pauli matrices phase shifts Phys polarization vector potential 17.1 primary elastic scattering problem protons quantity quantum numbers R-matrix rc-meson refractive index relation relative motion resonance width satisfies scattering amplitude scattering matrix scattering matrix elements secondary elastic scattering shell model solution of equation spherical spin functions spin-orbit coupling strength function substitute superposition total cross-section wave function