Sketching pion and proton mass distributions

TL;DR

This paper presents a light-front holographic model to construct hadron GPDs from valence-quark distributions and form factors, revealing that mass distributions are more compact and denser near the core than charge distributions, consistent across schemes.

Contribution

It introduces an algebraic scheme for deriving hadron GPDs from valence-quark distributions and form factors without relying on DVCS data, highlighting features of mass and charge profiles.

Findings

Mass distribution form factor is harder than charge form factor.

Mass-density profiles are more compact than charge profiles.

Pion core density exceeds that of the proton.

Abstract

A light-front holographic model is used to illustrate an algebraic scheme for constructing a representation of a hadron's zero-skewness generalised parton distribution (GPD) from its valence-quark distribution function (DF) and electromagnetic form factor, $F_H$, without reference to deeply virtual Compton scattering data. The hadron's mass distribution gravitational form factor, $A_H$, calculated from this GPD is harder than $F_H$; and, for each hadron, the associated mass-density profile is more compact than the analogous charge profile, with each pion near-core density being larger than that of its proton partner. These features are independent of the scheme employed.