Undergraduate Research at Jefferson Lab

Finite Volume Amplitudes of Two-Body Scattering Interactions with a Light Particle Exchange

Student: Samantha Goldberg

School: The University of Texas at Austin

Mentored By: Raúl Briceño

Implementing a lattice model (Lattice QCD) is a non-perturbative approach to indirectly measuring observables in Quantum Chromodynamics (QCD). We place these particles in a finite box, with slightly different properties than space-time. The Luescher formalism allows one to solve for the spectrum of scattering interactions within a finite, space-like cubic volume with periodic boundary conditions. One issue that remains to be accounted for is the Luescher formalism�s inability to calculate information about certain scattering processes due to singularities in the scattering amplitude that occur. One such interaction is a two-particle scattering process where a light particle is exchanged. We aim to test already existing strategies and develop new methods for finding observables for two-body scattering with a light particle exchange using the Luescher formalism.

[Watch the presentation on YouTube]