Undergraduate Research at Jefferson Lab

Determining the Delta Form Factors Phenomenologically

Student: Gregory Blume

School: Old Dominion University

Mentored By: Raul Briceno

The Delta resonance is a resonance state of the Proton that occurs when the Proton is excited by the introduction of a current. The purpose of this project is to understand the functions that occur within a proper representation of the Delta resonance that obeys unitarity. In order to evaluate this proper representation, the overall process was disassembled into a series of sub processes containing a number of functions. These functions include standard two hadron scattering amplitudes as well as more complicated amplitudes known as triangle diagrams. This project focuses on the understanding of these function's analytic structure, or the singularities that arise within them. When attempting to understand the functions that model these scattering events three types of singularities, threshold, logarithmic, and pole are discussed. Once the sub-processes are well understood, we can evaluate the complete process resulting in the extraction the form factors of the Delta resonance while obeying unitarity.

[Watch the presentation on YouTube]