Chimera distribution amplitudes for the pion and the longitudinally polarized $\rho$-meson

TL;DR

This paper proposes a new chimera distribution amplitude model for the pion and the longitudinally polarized rho meson, combining features of broad unimodal and suppressed tail bimodal profiles using QCD sum rules and Dyson-Schwinger equations.

Contribution

It introduces a novel chimera distribution amplitude that unifies different profile characteristics of light mesons, bridging various computational approaches.

Findings

Chimera distribution combines broad unimodal and suppressed tail bimodal features.

Pattern formation from coupled oscillators explains distribution amplitude profiles.

The model aligns with QCD sum rules and Dyson-Schwinger equation results.

Abstract

Using QCD sum rules with nonlocal condensates, we show that the distribution amplitude of the longitudinally polarized $\rho$-meson may have a shorttailed platykurtic profile in close analogy to our recently proposed platykurtic distribution amplitude for the pion. Such a chimera distribution de facto amalgamates the broad unimodal profile of the distribution amplitude, obtained with a Dyson-Schwinger equations-based computational scheme, with the suppressed tails characterizing the bimodal distribution amplitudes derived from QCD sum rules with nonlocal condensates. We argue that pattern formation, emerging from the collective synchronization of coupled oscillators, can provide a single theoretical scaffolding to study unimodal and bimodal distribution amplitudes of light mesons without recourse to particular computational schemes and the reasons for them.