Abstract

In this work, we revise the conventional description of J/psi (1S), Upsilon (1S), psi '(2S) and Upsilon '(2S) elastic photo- and electroproduction off a nucleon target within the color dipole picture and carefully study various sources of theoretical uncertainties in calculations of the corresponding electroproduction cross sections. For this purpose, we test the corresponding predictions using a bulk of available dipole cross section parametrisations obtained from deep inelastic scattering data at HERA. Specifically, we provide the detailed analysis of the energy and hard-scale dependencies of quarkonia yields employing the comprehensive treatment of the quarkonia wave functions in the Schrödinger equation based approach for a set of available c-bar{c} and b-bar{b} interquark interaction potentials. Besides, we quantify the effect of Melosh spin rotation, the Q^2-dependence of the diffractive slope and an uncertainty due to charm and bottom quark mass variations.

Highlights

  • One of the major widely used probes for interplay between hard and soft QCD physics is by means of bound states of heavy quarks known as quarkonia

  • 5.6.2 Dependence on the phenomenological dipole cross sections In Sect. 5.3 we studied a correlation of the model predictions for photo- and electroproduction of 1S quarkonium with a shape of the color dipole cross section, σqq (r, x)

  • We have presented an exploratory and comprehensive study of elastic photo- and electroproduction of heavy quarkonia within the color dipole formalism

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Summary

Introduction

One of the major widely used probes for interplay between hard and soft QCD physics is by means of bound states of heavy (charm and bottom) quarks known as quarkonia. Exclusive (or elastic) photo (Q2 0) and electro (Q2 0) production of heavy quarkonia receives a lot of attention due to clean signatures and precision measurements of the corresponding observables differential in hard scale, Q2, energy, W , and momentum transfer squared, t Such processes are highly relevant for e.g. a better understanding of the gluon density properties and their impact parameter profile in a target at very small x [19,20,21,22,23,24,25], as well as for probing the details of the quarkonia production and propagation processes.

Exclusive quarkonia electroproduction: dipole picture
Light-cone quarkonia wave function
Dipole cross section
Theoretical uncertainties caused by determination of the diffraction slope
COR HAR LOG POW BT
Sensitivity of model predictions to quark mass
Spin rotation effects in electroproduction of 1S quarkonia
Dependence on the phenomenological dipole cross sections
Dependence on the mass of charm and bottom quark
Importance of spin effects
The skewness effect in electroproduction of quarkonia
Conclusions
Harmonic oscillator
Cornell potential
Buchmüller-Tye potential
Findings
Logarithmic potential
Full Text
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