Work

Partial-wave projection of relativistic three-body amplitudes

Year: 2025

Type: article

Abstract: We derive the integral equations for partial-wave projected three-body scattering amplitudes, starting from the integral equations for three-body amplitudes developed for lattice QCD analyses. The results, which hold for generic three-body systems of spinless particles, build upon the recently derived partial-wave projected one-particle exchange, a primary component of the relativistic framework proven to satisfy S matrix unitarity. We derive simplified expressions for factorizable short-distance interactions, K 3 , in two equivalent formalisms—one symmetric under particle interchange and one asymmetric. For the asymmetric case, we offer parametrizations useful for amplitude analysis. Finally, we examine toy models for 3 π systems at unphysically heavy pion masses with total isospins 0, 1, and 2.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/physrevd.111.036029

Authors: Raúl A. Briceño, Caroline S. R. Costa, Andrew W. Jackura

Institutions: Lawrence Berkeley National Laboratory, University of California, Berkeley, Thomas Jefferson National Accelerator Facility, William & Mary

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: U.S. Department of Energy, Office of Science, Nuclear Physics, Thomas Jefferson National Accelerator Facility