Abstract Construction of Effective Electromagnetic Currents for Two Body Quasipotential Equations

CONSTRUCTION OF EFFECTIVE ELECTROMAGNETIC CURRENTS FOR TWO BODY QUASIPOTENTIAL EQUATIONS Dmitri Krioukov Old Dominion University Director Dr J W Van Orden A systematic algebraic approach for the construction of e ective electro magnetic currents consistent with relativistic two body quasipotential equa tions is presented This approach generalizes the Mandelstam formalism and applies it to a generic quasipotential reduction method The use of Ward Takahashi identities for the e ective currents guarantees conservation of cur rent matrix elements involving any combination of bound and scattering states This approach is shown to reproduce previous results for current matrix ele ments for the particular cases of the Gross and Blankenbecler Sugar equations A generic method of truncation of the quasipotential e ective current with re spect to the number of boson exchanges is introduced CONSTRUCTION OF EFFECTIVE ELECTROMAGNETIC CURRENTS FOR TWO BODY QUASIPOTENTIAL EQUATIONS by Dmitri Krioukov Diploma in Physics February St Petersburg University A Dissertation submitted to the Faculty of Old Dominion University in Partial Full llment of the Requirement for the Degree of DOCTOR OF PHILOSOPHY