1. Partial-wave projection of relativistic three-body amplitudes
- Author
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Briceño, Raúl A., Costa, Caroline S. R., and Jackura, Andrew W.
- Subjects
High Energy Physics - Phenomenology ,High Energy Physics - Lattice ,High Energy Physics - Theory ,Nuclear Theory - 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, $\mathcal{K}_{3}$, in two equivalent formalisms - one symmetric under particle interchange and one asymmetric. For the asymmetric case, we offer parameterizations useful for amplitude analysis. Finally, we examine toy models for $3\pi$ systems at unphysically heavy pion masses with total isospins 0,1, and 2., Comment: 47 pages, 5 figures
- Published
- 2024