Partial-wave projection of the one-particle exchange in three-body scattering amplitudes

Jackura, Andrew W.; Briceño, Raúl A.

doi:10.1103/PhysRevD.109.096030

Title: Partial-wave projection of the one-particle exchange in three-body scattering amplitudes

Journal Article · 22 May 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.109.096030 · OSTI ID:2356974

; Briceño, Raúl A.

As the study of three-hadron physics from lattice QCD matures, it is necessary to develop proper analysis tools in order to reliably study a variety of phenomena, including resonance spectroscopy and nuclear structure. Reconstructing the three-particle scattering amplitude requires solving integral equations, which can be written in terms of data-constrained dynamical functions and physical on shell quantities. The driving term in these equations is the so-called one-particle exchange, which leads to a kinematic divergence for particles on mass shell. A vital component in defining three-particle amplitudes with definite parity and total angular momentum, which are used in spectroscopic studies, is to project the one-particle exchange into definite partial waves. We present a general procedure to construct exact analytic partial-wave projections of the one-particle exchange contribution for any system composed of three spinless hadrons. Our result allows one full control over the analytic structure of the projection, which we explore for some low-lying partial waves with applications to three pions. Published by the American Physical Society 2024

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Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0023598; SC0019229; AC02-05CH11231

OSTI ID:: 2356974

Alternate ID(s):: OSTI ID: 2406233

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 9 Vol. 109; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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