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We describe a model of general two-to-two-body and two-to-three-body hadronic reaction based on a phenomenological Lagrangian approach that satisfies two-body unitary and is relativistic. This model is used to study πη photoproduction. Unitarity is ensured by using the Lippmann-Schwinger equation to iterate the vertices and dress the propagators to all orders, and by including all possible two-body and quasi-two-body intermediate channels. We also study different approximations of the intermediate momenta in a diagram. Gauge invariance is used as a criterion to choose the best approximation. This model has been tested by investigating the nonresonant interactions of ππ and πη photoproduction, in which significant effects are observed. A preliminary comparison of our calculation to an existing πη photoproduction study is made, and is shown to produce consistent results.
A Dissertation submitted to the Department of Physics in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
Bibliography Note
Includes bibliographical references.
Advisory Committee
Simon Capstick, Professor Directing Dissertation; Ettore Aldrovandi, Outside Committee Member; Jorge Piekarewicz, Committee Member; Laura Reina, Committee Member; Paul Eugenio, Committee Member.
Publisher
Florida State University
Identifier
FSU_migr_etd-2826
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