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The rapidity dependent transverse momentum spectra of heavy quarkonia (J/psiand Upsilon mesons) produced in small collision systems such as proton-proton(pp) and proton-lead (p-Pb) collisions at center-of-mass energy (per nucleonpair) 5-13 TeV are described by a two-component statistical model which isbased on the Tsallis statistics and inverse power-law. The experimental datameasured by the LHCb Collaboration at the Large Hadron Collider (LHC) are wellfitted by the model results. The related parameters are obtained and thedependences of parameters on rapidity are analyzed.

Rapidity dependent transverse momentum spectra of heavy quarkonia produced in small collision systems at the LHC