Reggeometry of Deeply Virtual Compton Scattering and Exclusive Vector Meson Production at HERA

Abstract

A Reggeometric (Regge+Geometry) model, based on the observed proportionality between the forward slope of the differential cross section and the interaction radius, the latter depending on virtuality Q 2 of the incoming virtual photon and on the mass M 2 of the produced particle, is constructed. The objective of this study is the dependence of the Reggepole amplitude on the virtuality Q 2 and masses of the external particles, which remains an open problem for the theory. The present analysis is based on the HERA data on Deeply Virtual Compton Scattering (DVCS) and exclusive diffractive Vector Meson Production (VMP). We treat each class of reactions separately, anticipating a further study that will include both a soft and a hard component of the unique Pomeron.

Vector meson production in ultra-peripheral collisions at the LHC

“…integrated over t) exclusive VMP cross section (the same as at HERA [5,6]), r(y) is the rapidity gap survival correction, and…”

“…In doing so, we use the so-called Reggeometric model [5], the two-component ("soft" and "hard") Pomeron model [6] and a model [9] including the low-energy region. In the Reggeometric model we use…”

“…Thus, if the formula for the cross section σ (W, Q 2 , m J/ψ ) describes γ p → J/ψ + p production, then f ψ(2S) σ (W, Q 2 , m ψ(2S) ) should describe γ p → ψ(2S) + p production as well. [8], ALICE [11] and HERA [12] data on J/ψ photoproduction cross section with the two component Pomeron model [6], the Reggeometry model [5] and the Martynov model [9].…”

“…3 we show the LHCb [8] data together with the predictions for the J/ψ and the ψ(2S) differential rapidity cross sections obtained from the Regge model [5], the two-component Pomeron model [6] and that of Ref. [9].…”

“…The rapidity gap survival factor r(y) = 0.8 was used. a b with the two-component Pomeron model [6], the Reggeometric model [5] and that of Ref. [9].…”