Pion form factor from an AdS deformed background

Martin Contreras, Miguel Angel; Capossoli, Eduardo Folco; Li, Danning; Vega, Alfredo; Boschi-Filho, Henrique

Abstract

We consider a bottom-up AdS/QCD model with a conformal exponential deformation ekI z2 on a Lorentz invariant AdS background, where kI stands for the scale k pi that fixes confinement in the pion case and k gamma for the kinematical energy scale associated with the virtual photon. In this model we assume the conformal dimension associated with the operator that creates pions at the boundary as A = 3, as in the original bottom-up AdS/QCD proposals. Regarding the geometric slope related to photon field k gamma , we analyze two cases: constant and depending on the transferred momentum q. In these two cases we computed the electromagnetic pion form factor as well as the pion radius. We compare our results with experimental data as well as other theoretical (holographic and non-holographic) models. In particular, for the momentum dependent scale, we find good agreement with the available experimental data as well as non-holographic models.(c) 2022 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3.

Más información

Título según WOS: Pion form factor from an AdS deformed background
Título de la Revista: NUCLEAR PHYSICS B
Volumen: 977
Editorial: ELSEVIER SCIENCE BV
Fecha de publicación: 2022
DOI:

10.1016/j.nuclphysb.2022.115726

Notas: ISI