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Pion form factor from an AdS deformed background

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arxiv 2104.04640 v2 pith:V5HAI3UP submitted 2021-04-09 hep-ph hep-thnucl-th

Pion form factor from an AdS deformed background

classification hep-ph hep-thnucl-th
keywords pionwellbackgroundcasesconformaldataexperimentalfactor
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We consider a bottom-up AdS/QCD model with a conformal exponential deformation $e^{k\,z^2}$ on a Lorentz invariant AdS background. In this model, we assume the conformal dimension associated with the operator that creates pions at the boundary as $\Delta=3$. Regarding the infrared scale 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 infrared scale, we find good agreement with the available experimental data as well as non-holographic models.

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