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Meson Photo-Couplings From Lattice Quantum Chromodynamics, Christian J. P. Shultz
Meson Photo-Couplings From Lattice Quantum Chromodynamics, Christian J. P. Shultz
Physics Theses & Dissertations
We explore the calculation of three-point functions featuring a vector current insertion in lattice Quantum Chromodynamics. These three-point functions, in general, contain information about many radiative transition matrix elements simultaneously. We develop and implement the technology necessary to isolate a single matrix element via the use of optimized operators, operators designed to interpolate a single meson eigenstate, which are constructed as variationally optimized linear combination of meson interpolating fields within a large basis. In order to frame the results we also explore some well known phenomenology arising within the context of the constituent quark model before transitioning to a lattice …
A Relativistic Model For Heavy Mesons, Jialin Zeng
A Relativistic Model For Heavy Mesons, Jialin Zeng
Physics Theses & Dissertations
Motivated by the present interest in the heavy quark effective theory, we construct a model for heavy mesons based on a relativistic bound state wave equation, the Gross equation. The kernel we use is based on scalar confining and vector Coulomb potentials. Wave functions are treated to leading order and energies to order 1/MQ in the heavy-light systems, and to order 1/M2Q in heavy-heavy systems. Our results are in good agreement with experimental measurements. This model may be used to study weak decay properties in the framework of the heavy quark effective theory and ultimately to …