Gaber, Mostafa Waleed; (1991) Approximation schemes for the scattering of spin one particles. Doctoral thesis (Ph.D), UCL (University College London).

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Abstract

The Wallace high-energy expansion of the scattering amplitude is discussed and generalized to the case of scattering of a spin-one particle from a potential with a tensor spin-orbit coupling. A generating function for the eikonal phase (quantum) corrections is evaluated in closed form. The first and second Born amplitudes are evaluated for a Gaussian potential- distribution. It is shown that the Wallace-corrections bring the eikonal scattering amplitude closer to its Born counter-part. The tensor structure of the Born amplitude are calculated by developing an SMP program. The Glauber eikonalization approach is extended to the case of spin-one scattering. Difficulties arise from the properties of spin-one operators as well as the unequal treatment of the initial and final momenta inherent in the eikonal scheme. Different methods of arriving at the Glauber-amphtude, including a diagonahzation scheme which enables us to expand the exponential matrix in a closed form, are presented. For the medium energy deuteron-nucleus scattering, the first order correction is dominant, and is shown to be significant in the measurement of the polarization parameters. This conclusion is supported by a numerical comparison of the eikonal observables with and without corrections, versus the exact observables calculated using a numerical resolution of the Schrodinger equation.

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