Central Production of $\eta$ via Double Pomeron Exchange and Double Reggeon Exchange in the Sakai-Sugimoto Model

Abstract

We use holographic QCD to study Pomeron- and Reggeon-mediated central production in Regge regime hadronic scattering. We focus specifically on $\eta$ production in proton-proton collisions. While previous work studied the Pomeron-mediated process, the mesonic Regge trajectories ("Reggeons") we now incorporate contribute significantly at experimentally probed energies. We use the five-point open string amplitude (in flat space) to construct approximate propagators for the Reggeon states, and the five-point closed string amplitude for the Pomeron. Using these "holographic" Reggeons and Pomerons, and low-energy couplings derived in the Sakai-Sugimoto model, we compute the differential and total cross sections at $\sqrt{s}$ =29.1 GeV. Our calculation of the total cross section is $\sigma =236\mathrm{nb}$, while the experimentally measured value is $\sigma =3859\mathrm{nb}$. The discrepancy between our result and the measured value may indicate that our model systematically underestimates the values of the relevant coupling constants.

32 pages, 4 figures

References in corpus (8)

• The Pomeron and Gauge/String Duality
• Chiral Dynamics of Baryons from String Theory
• Dynamics of Baryons from String Theory and Vector Dominance
• The nucleon form-factors of the energy momentum tensor in the Skyrme model
• Nucleon Form Factors and Hidden Symmetry in Holographic QCD
• Photoproduction of the $f_1(1285)$ Meson
• Setting the scale of the p p and p bar p total cross sections using AdS/QCD
• Central Production of Eta and Eta-prime via Double Pomeron Exchange in the Sakai-Sugimoto Model

Cited by in corpus (8)

• Witten-Veneziano mechanism and pseudoscalar glueball-meson mixing in holographic QCD
• Elastic proton-proton scattering at LHC energies in holographic QCD
• Central exclusive diffractive production of axial-vector $f_1(1285)$ and $f_1(1420)$ mesons in proton-proton collisions
• Inclusive Production Through AdS/CFT
• Pomeron and Reggeon contributions to elastic proton-proton and proton-antiproton scattering in holographic QCD
• Open-string singlet interaction as pomeron in elastic $pp,p\bar{p}$ scattering
• Elastic proton-neutron and antiproton-neutron scattering in holographic QCD
• Elastic pion-proton and pion-pion scattering via the holographic Pomeron and Reggeon exchange