A holographic analysis of the pion

Fuente: arXiv
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Main Authors: Forshaw, Jeff, Sandapen, Ruben
Format: Preprint
Published: 2024
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author Forshaw, Jeff
Sandapen, Ruben
author_facet Forshaw, Jeff
Sandapen, Ruben
contents Inspired by light-front holography, we compute the pion mass, charge radius, decay constant, electromagnetic form factor and electromagnetic transition form factor. To do so, we model the longitudinal quark dynamics using potentials due to 't Hooft and to Li & Vary. We find a longitudinal wavefunction that is rather more peaked about $x \sim 1/2$ than in previous studies. We also explore the strong degeneracy between these two potentials and conclude by noting that one scenario that accords well with the data also maps onto an equation previously noted by Vegh that describes the dynamics of a four-segmented string in $\mathrm{AdS}_3$.
format Preprint
id arxiv_https___arxiv_org_abs_2501_00526
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A holographic analysis of the pion
Forshaw, Jeff
Sandapen, Ruben
High Energy Physics - Phenomenology
Inspired by light-front holography, we compute the pion mass, charge radius, decay constant, electromagnetic form factor and electromagnetic transition form factor. To do so, we model the longitudinal quark dynamics using potentials due to 't Hooft and to Li & Vary. We find a longitudinal wavefunction that is rather more peaked about $x \sim 1/2$ than in previous studies. We also explore the strong degeneracy between these two potentials and conclude by noting that one scenario that accords well with the data also maps onto an equation previously noted by Vegh that describes the dynamics of a four-segmented string in $\mathrm{AdS}_3$.
title A holographic analysis of the pion
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2501.00526