eprintid: 10124692
rev_number: 8
eprint_status: archive
userid: 695
dir: disk0/10/12/46/92
datestamp: 2021-03-22 17:42:00
lastmod: 2021-03-22 17:42:00
status_changed: 2021-03-22 17:42:00
type: thesis
metadata_visibility: show
creators_name: Gaber, Mostafa Waleed
title: Approximation schemes for the scattering of spin one particles
ispublished: unpub
note: Thesis digitised by ProQuest.
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.
date: 1991
oa_status: green
full_text_type: other
thesis_class: doctoral_open
thesis_award: Ph.D
language: eng
thesis_view: UCL_Thesis
primo: open
primo_central: open_green
verified: verified_manual
full_text_status: public
pages: 135
institution: UCL (University College London)
thesis_type: Doctoral
citation:        Gaber, Mostafa Waleed;      (1991)    Approximation schemes for the scattering of spin one particles.                   Doctoral thesis  (Ph.D), UCL (University College London).     Green open access   
 
document_url: https://discovery.ucl.ac.uk/id/eprint/10124692/1/Approximation_schemes_for_the_.pdf