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Contribution of π0 Exchange in Elastic Muon-Proton Scattering

2024/01/25 by Atharva Naik, Andrei Afanasev, Naik, Atharva +1
Engineering · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Muon and positron interactions and applications #Nuclear Theory (nucl-th) #Particle accelerators and beam dynamics #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.2401.13892

openalex publication_date 2024/01/25 · openalex created_date 2024/01/27 · openalex updated_date 2026/07/28

Abstract

The effect of the lepton's mass is significantly enhanced when the beam's energy is on the order of the lepton's mass. In the case of electrons, this corresponds to beam momenta on the order of a few MeV and is negligible in higher energy experiments. In this study, we calculate the differential cross section dσ/ dΩ for the helicity-flip meson exchange interference in elastic muon-proton (μp) scattering μ- p → μ- p. In particular, we examine the π0 meson exchange in the t-channel for a longitudinally polarized beam and a transversely polarized target. We demonstrate the contribution to be larger for muons due to the lepton mass difference. Then we construct the corresponding beam-target double-spin asymmetries for the target polarized normal and parallel to the momentum transfer in the Breit frame, and then consider the model dependence of the calculation from the estimation of the π0 μμ vertex. The contribution was found to be on the order of ∼ .15% for muons in the kinematic region of the MUSE experiment.

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