Setting the scale of the p p and p bar p total cross sections using AdS/QCD

Abstract

This paper is an addendum to our earlier paper \cite{pom} where we computed the Pomeron contribution to $pp$ and $p\bar{p}$ scattering in AdS/QCD. The model of \cite{pom} depends on four parameters: the slope and intercept of the Pomeron trajectory ${\alpha }_c^{\prime },{\alpha }_c(0)$, a mass scale $M_d$ which determines a form factor entering into matrix elements of the energy-momentum tensor, and a coupling ${\lambda }_{\mathcal{P}}$ between the lightest spin $2$ glueball and the proton which sets the overall scale of the total cross section. Here we perform a more detailed computation of ${\lambda }_{\mathcal{P}}$ in the Sakai-Sugimoto model using the construction of nucleons as instantons of the dual 5d gauge theory and an effective 5d fermion description of these nucleons which has been successfully used to compute a variety of nucleon-meson couplings. We find ${\lambda }_{\mathcal{P},\mathrm{SS}}\simeq 6.38{\mathrm{GeV}}^{-1}$ which is in reasonable agreement with the value ${\lambda }_{\mathcal{P},\mathrm{fit}}=8.28{\mathrm{GeV}}^{-1}$ determined by fitting single Pomeron exchange to data.

8 pages

References in corpus (5)

• The Pomeron and Gauge/String Duality
• Chiral Dynamics of Baryons from String Theory
• Light-Front Dynamics and AdS/QCD Correspondence: Gravitational Form Factors of Composite Hadrons
• Dynamics of Baryons from String Theory and Vector Dominance
• Nucleon Form Factors and Hidden Symmetry in Holographic QCD

Cited by in corpus (9)

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• Pomeron and Reggeon contributions to elastic proton-proton and proton-antiproton scattering in holographic QCD
• Elastic pion-proton and pion-pion scattering via the holographic Pomeron and Reggeon exchange
• Diffractive and deeply virtual Compton scattering in holographic QCD
• Holographic description of elastic photon-proton and photon-photon scattering
• Effects of odderon spin on helicity amplitudes in $pp$ elastic scattering
• Deeply Virtual Compton Scattering in Improved Holographic QCD