Coherent photo- and electroproduction of charmonia on nuclear targets revisited: Green function formalism

We study for the first time the production of charmonia in nuclear ultraperipheral and electron-ion collisions based on a rigorous Green function formalism. Such formalism allows to incorporate properly formation effects (color transparency), as well as the quantum coherence inherent in higher-twist shadowing corrections related to the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mo stretchy="false">|</a:mo><a:mi>Q</a:mi><a:mover accent="true"><a:mi>Q</a:mi><a:mo stretchy="false">¯</a:mo></a:mover><a:mo stretchy="false">⟩</a:mo></a:math> Fock component of the photon. The leading twist gluon shadowing associated with multigluon photon fluctuations is also included within the same formalism. The later effect represents the dominant source of shadowing at midrapidities in the LHC kinematic region, while the reduced effect of quark shadowing leads to a significant modification of differential cross sections <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:mi>d</g:mi><g:mi>σ</g:mi><g:mo>/</g:mo><g:mi>d</g:mi><g:mi>y</g:mi></g:math> at forward and/or backwards rapidities. Model calculations for <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mi>d</i:mi><i:mi>σ</i:mi><i:mo>/</i:mo><i:mi>d</i:mi><i:mi>y</i:mi></i:math> are in a good agreement with available ultraperipheral nuclear <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"><k:mrow><k:mi>P</k:mi><k:mi>b</k:mi><k:mtext>−</k:mtext><k:mi>P</k:mi><k:mi>b</k:mi></k:mrow></k:math> collisions data on coherent charmonium production at RHIC and the LHC. In addition, we also perform predictions for nuclear effects in the electroproduction of charmonia, which can be verified by new data from electron-ion colliders.