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Theory of elastic scattering
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agreement angle asymptotic form atomic nucleus average value centre-of-mass system co-ordinates compound nucleus compound particles compound system computed consider corresponding Coulombian cross-section for elastic density matrix dependence described determine differential cross-section diverging wave E. P. Wigner elastic cross-section elastic scattering elementary theory energy range ensemble equal equation of motion experiment expression Fernbach fully polarized particles given Green function high energies imaginary incident nucleon incident particle incident wave ingoing channel internal reaction space Legendre polynomials logarithmic derivative low energies mass number nuclear reactions nucleons number of particles obtain optical model optical potential parameters V0 Pauli matrices phase shifts Phys polarization vector primary elastic scattering problem protons quantity quantum numbers R-matrix refractive index relation relative motion resonance width scattered particles scattering amplitude scattering matrix scattering matrix elements scattering on nuclei secondary elastic scattering shell model spherical spin functions spin-orbit coupling strength function total cross-section wave function zero