A spectral representation for baryon to meson transition distribution amplitudes

TL;DR

This paper develops a spectral representation for baryon to meson transition distribution amplitudes, enabling better modeling and quantitative predictions for hard exclusive reactions involving these transitions.

Contribution

It introduces a spectral representation and generalizes the double distribution approach for baryon to meson TDAs, facilitating their modeling and analysis.

Findings

Constructed a spectral representation for baryon to meson TDAs.

Generalized Radyushkin's factorized Ansatz for these TDAs.

Enabled modeling and quantitative estimates of cross-sections.

Abstract

We construct a spectral representation for the baron to meson transition distribution amplitudes (TDAs), i.e. matrix elements involving three quark correlators which arise in the description of baryon to meson transitions within the factorization approach to hard exclusive reactions. We generalize for these quantities the notion of double distributions introduced in the context of generalized parton distributions. We propose the generalization of A.Radyushkin's factorized Ansatz for the case of baryon to meson TDAs. Our construction opens the way to modeling of baryon to meson TDAs in their complete domain of definition and quantitative estimates of cross-sections for various hard exclusive reactions.