Home Institution, City, State
Old Dominion University, Norfolk, Virginia
Major
Physics
Publication Date
Summer 2021
Abstract
Three-body interactions play an important role throughout modern-day particle, nuclear, and hadronic physics; many experimentally observed reactions of interest for testing the Standard Model result in final states composed of three particles or more. Due to these issues, a full description of three-body interactions from Quantum Chromodynamics is required. The focus of this project was to extend previous results for a two-body subsystem with a bound state to include resonance channels. We first derived a novel single-variable observable, denoted as an intensity distribution, which is proportional to the probability density of the three-body scattering amplitude. We explored this distribution in the context of established results for a two-body subsystem with a bound state. We then developed a model two-body scattering amplitude with both a resonant and a bound state and examined the three-body scattering intensity distribution for this system. For each of these two-body scattering subsystem models, intensity distributions were computed, resulting in novel graphs of relevant scattering behavior.
Keywords
Particle physics, Nuclear physics, Hadronic physics, Three-body interactions, Resonance channels, Scattering
Disciplines
Physics
Recommended Citation
Powell, Taylor R.; Briceño, Raúl A.; and Jackura, Andrew W., "Solving Relativistic Three-Body Integral Equations in the Presence of Bound States and Resonances" (2021). Physics: Accelerator and Nuclear Physics at the Thomas Jefferson National Accelerator Facility in Newport News, Virginia. 1.
https://digitalcommons.odu.edu/reu2021_physics/1