Electroweak interactions and relativistic many-body problems

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The proposed research focuses on two related programs -- electromagnetic and weak interactions, and relativistic approaches to the nuclear many-body problem. A principle aspect of the first research program is understanding the fundamental properties of nucleons and nuclei through electromagnetic and weak interactions with semileptonic probes. At the nucleon level, calculations of two-photon exchange (TPE) radiative corrections have been instrumental in resolving the discrepancy between measurements of electron-nucleon scattering form factors using Rosenbluth and polarization transfer techniques. A hadronic approach is taken to evaluating the model-dependent TPE amplitudes, including the contribution of nucleon resonances. This has implications for parity-violating electron scattering and other precision measurements (e.g. single spin asymmetries), as well as virtual Compton scattering. One goal is understanding the transition between hadronic approaches at low energies and partonic approaches appropriate at high energies.