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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.
Includes bibliographical references.
Simon Capstick, Professor Directing Dissertation; Ettore Aldrovandi, Outside Committee Member; Jorge Piekarewicz, Committee Member; Laura Reina, Committee Member; Paul Eugenio, Committee Member.
Florida State University
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