Diffractive ρ production with an AdS/QCD holographic wavefunction for the ρ meson

Abstract

We report on the results of our recent research published in [1] that shows that AdS/QCD generates predictions for the rate of diffractive ρ-meson electroproduction that are in agreement with data collected at the HERA electron-proton collider [2,3]. Preliminary results of this research were presented in [4].

Photoproduction ofωmesons off nuclei and impact of polarization on the meson-nucleon interaction

“…The coherent amplitude represents a sum of photoproduction amplitudes on individual nucleons. For isoscalar nuclei, the contribution to the coherent process from pion exchange can be neglected because the interaction amplitudes of a particle with isotopic spin one with protons and neutrons have the opposite signs and cancel out 4 . The coherent production is dominated by the Pomeron exchange mechanism, where the photon helicity is preserved at small momenta transfer (s-channel helicity conservation), i.e., transverse photons (λ = ±1 in the helicity frame) produce only transversely polarized vector mesons.…”

“…This results in a possible dependence of interactions on meson polarization. According to recent calculations [4,5], light-cone wave functions of the ρ meson computed in the AdS/QCD approach [6] have significantly different dependence on the light cone momentum for longitudinal and transverse polarizations, which would lead to different interactions of polarized mesons with nucleons [7].…”

“…The inverse of the longitudinal momentum transfer is called the coherence length l c = 1 q L 3. The nucleon density ρ(b, z) is normalized to the atomic weight ρ(b, z)d 2 bdz = A 4. For nuclei with unequal numbers of protons and neutrons, small corrections can be taken into account.…”

Diffractive vector meson production at HERA using holographic AdS/QCD wavefunctions

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We demonstrate another success of the AdS/QCD correspondence by showing [1,2] that an AdS/QCD holographic light-front wavefunction for the ρ meson generates predictions for the cross-sections of diffractive ρ production that are in agreement with data collected at the HERA electron-proton collider [3,4].

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Transverse densities and generalized parton distributions of the ρ meson in the light front quark model

“…Recently, AdS/QCD formalism has been successfully applied to various hadronic properties like, generalized parton distributions (GPDs), parton distribution functions (PDFs), form factors and transverse densities . Regarding spin-1 particle like ρ meson, a lot of work has been done in holographic QCD [66][67][68][69][70].…”