Exclusive <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>J</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:mi mathvariant="normal">Ψ</mml:mi></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">Ψ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mi>s</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> photo-production as a probe of QCD low <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>x</mml:mi></mml:math> evolution equations
Martin Hentschinski, Emilio Padrón Molina
Abstract
We investigate photo-production of vector mesons $J/\mathrm{\ensuremath{\Psi}}$ and $\mathrm{\ensuremath{\Psi}}(2s)$, based on both HERA and LHC data, using 2 fits of unintegrated gluon distributions. The latter are subject to nonlinear Balitsky-Kovchegov evolution (Kutak-Sapeta gluon; KS) and linear next-to-leading order Balitsky-Kuraev-Fadin-Lipatov evolution (Hentschinski-Sabio Vera-Salas; HSS gluon) respectively. Apart from extending previous studies to the case of radially excited charmonium $\mathrm{\ensuremath{\Psi}}(2s)$, we further use an improved set of charmonium wave functions, provided in the literature, and give an estimate of the uncertainties associated with the energy dependence of the HSS gluon. While we observe that the difference between linear and non-linear evolution somehow diminishes and a clear distinction between both HSS and KS gluon is not possible using the currently available data set, we find that the differences between both gluon distributions are enhanced for the ratio of the photo-production cross sections of $\mathrm{\ensuremath{\Psi}}(2s)$ and $J/\mathrm{\ensuremath{\Psi}}$ vector mesons.