Baryon to meson transition distribution amplitudes and their spectral representation

TL;DR

This paper develops a spectral representation for nucleon to meson transition distribution amplitudes (TDAs), introducing quadruple distributions and a generalized factorized Ansatz, enabling quantitative predictions for hard exclusive reactions.

Contribution

It introduces a novel spectral representation framework for baryon to meson TDAs using quadruple distributions and extends Radyshkin's Ansatz, facilitating detailed modeling and analysis.

Findings

Spectral representation for TDAs established

Quadruple distributions introduced for modeling

Framework enables quantitative cross-section estimates

Abstract

We consider the problem of construction of a spectral representation for nucleon to meson transition distribution amplitudes (TDAs), non-diagonal matrix elements of nonlocal three quark light-cone operators between a nucleon and a meson states. We introduce the notion of quadruple distributions and generalize Radyshkin's factorized Ansatz for this issue. Modelling of baryon to meson TDAs in the complete domain of their definition opens the way to quantitative estimates of cross-sections for various hard exclusive reactions.