Toward an advanced phenomenology of $πN$ transition distribution amplitudes

Fuente: arXiv
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Autori principali: Pire, B., Semenov-Tian-Shansky, K., Sznajder, P., Szymanowski, L.
Natura: Preprint
Pubblicazione: 2025
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author Pire, B.
Semenov-Tian-Shansky, K.
Sznajder, P.
Szymanowski, L.
author_facet Pire, B.
Semenov-Tian-Shansky, K.
Sznajder, P.
Szymanowski, L.
contents We introduce a new approach to modeling transition distribution amplitudes (TDAs) for the processes $e p \to e n π^+$ and $e p \to e p π^0$. The modeling is flexible, constrained by sparsely available experimental data, and satisfies theoretical requirements, including reduction to nucleon distribution amplitudes in the appropriate limit. We study the sensitivity of observable predictions to various modeling assumptions. We discuss unpolarized cross-sections, as well as the three non-vanishing polarization observables at leading twist, namely, the single transverse target spin asymmetry and the two double spin asymmetries that occur with a polarized lepton beam on either a longitudinally or transversely polarized target. The analysis is complemented by a simple Monte Carlo study to provide guidance for exploring exclusive processes in the so-called backward kinematics. Our work aims to highlight the importance of future measurements to better constrain TDAs and to support upcoming experimental proposals.
format Preprint
id arxiv_https___arxiv_org_abs_2506_04961
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Toward an advanced phenomenology of $πN$ transition distribution amplitudes
Pire, B.
Semenov-Tian-Shansky, K.
Sznajder, P.
Szymanowski, L.
High Energy Physics - Phenomenology
High Energy Physics - Experiment
Nuclear Experiment
Nuclear Theory
We introduce a new approach to modeling transition distribution amplitudes (TDAs) for the processes $e p \to e n π^+$ and $e p \to e p π^0$. The modeling is flexible, constrained by sparsely available experimental data, and satisfies theoretical requirements, including reduction to nucleon distribution amplitudes in the appropriate limit. We study the sensitivity of observable predictions to various modeling assumptions. We discuss unpolarized cross-sections, as well as the three non-vanishing polarization observables at leading twist, namely, the single transverse target spin asymmetry and the two double spin asymmetries that occur with a polarized lepton beam on either a longitudinally or transversely polarized target. The analysis is complemented by a simple Monte Carlo study to provide guidance for exploring exclusive processes in the so-called backward kinematics. Our work aims to highlight the importance of future measurements to better constrain TDAs and to support upcoming experimental proposals.
title Toward an advanced phenomenology of $πN$ transition distribution amplitudes
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
Nuclear Experiment
Nuclear Theory
url https://arxiv.org/abs/2506.04961