πN transition distribution amplitudes: Their symmetries and constraints from chiral dynamics

Abstract

Baryon to meson transition distribution amplitudes (TDAs) extend the concept of generalized parton distributions. Baryon to meson TDAs appear as building blocks in the collinear factorized description of amplitudes for a class of hard exclusive reactions, prominent examples of which being hard exclusive meson electroproduction off a nucleon in the backward region and baryon-antibaryon annihilation into a meson and a lepton pair. We study the general properties of these objects following from the underlying symmetries of QCD. In particular, the Lorentz symmetry results in the polynomiality property of the Mellin moments in longitudinal momentum fractions. We present a detailed account of the isotopic and permutation symmetry properties of nucleon to pion (πN) TDAs. This restricts the number of independent leading twist πN TDAs to eight functions, providing description of all isotopic channels. Using chiral symmetry and the crossing relation between πN TDAs and πN generalized distribution amplitudes we establish soft pion theorems for πN TDAs, which determine the magnitude of πN TDAs. Finally, we build a simple resonance exchange model for πN TDAs considering N and Δ(1232) exchange contributions into the isospin-1/2 and isospin-3/2 πN TDAs.

42 pages, 2 figures; Corrections included to match the journal version

References in corpus (10)

• Generalized Parton Distributions and Their Singularities
• Production of a pion in association with a high-Q2 dilepton pair in antiproton-proton annihilation at GSI-FAIR
• Exclusive meson pair production in gamma* gamma scattering at small momentum transfer
• The Pion-Photon Transition Distribution Amplitudes in the Nambu-Jona Lasinio Model
• A spectral representation for baryon to meson transition distribution amplitudes
• Deep Inelastic Pion Electroproduction at Threshold
• Covariant Non-local Chiral Quark Model and Pion-photon Transition Distribution Amplitudes
• Threshold Pion Electroproduction at Large Momentum Transfers
• Bootstrap and the physical values of $\pi N$ resonance parameters
• Transition Distribution Amplitudes for gamma* gamma collisions

Cited by in corpus (21)

• A consistent model for πN transition distribution amplitudes and backward pion electroproduction
• Feasibility study for the measurement of $\pi N$ TDAs at PANDA in $\bar{p}p\to J/\psi {\pi }^0$
• Accessing baryon to meson transition distribution amplitudes in meson production in association with a high invariant mass lepton pair at GSI-FAIR with PANDA
• Hard exclusive pion electroproduction at backward angles with CLAS
• Transition distribution amplitudes and hard exclusive reactions with baryon number transfer
• QCD description of charmonium plus light meson production in antiproton-nucleon annihilation
• Progress and Opportunities in Backward angle (u-channel) Physics
• QCD description of backward vector meson hard electroproduction
• Strong Interaction Physics at the Luminosity Frontier with 22 GeV Electrons at Jefferson Lab
• Double handbag description of proton-antiproton annihilation into a heavy meson pair
• Backward charmonium production in $\pi N$ collisions
• Hard exclusive neutrino production of a light meson
• πN TDAs from charmonium production in association with a forward pion at PANDA
• Nucleon-to-pion transition distribution amplitudes: a challenge for PANDA
• First results of proton antiproton annihilation into a pion pair at large scattering angles within the handbag approach
• Toward an advanced phenomenology of $\pi N$ transition distribution amplitudes
• Baryon-to-meson transition distribution amplitudes: formalism and models
• Exploring the nucleon structure through GPDs and TDAs in hard exclusive processes
• DIS2021 Workshop Proceedings: Backward-Angle (u-Channel) Meson Production from JLab 12 GeV Hall C to EIC
• Production of heavy meson pairs in $p\bar{p}$ collisions within a double handbag approach
• Light-cone distribution amplitudes of the nucleon and $\Delta$ baryon