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The CMS experiment at the Large Hadron Collider has recently presented dataon the average transverse momentum of protons, kaons and pions as a function ofparticle multiplicity. We relate the particle multiplicity to saturationmomentum using recently published computations of the interaction radiusdetermined from the theory of the Color Glass Condensate. We show that the ppand the pA experimental data scale in terms of these saturation momenta.Computing transverse momentum spectra for identified particles usingBoltzmann-type distributions and relating different associated multiplicitiesusing geometric scaling, these simple distributions reproduce the observeddependence of the mean transverse momentum on particle multiplicities seen inboth pp and pA interactions for pions to good accuracy, and to fair agreementfor protons and kaons.

Transverse Momentum of Protons, Pions and Kaons in High Multiplicity pp and pA Collisions: Evidence for the Color Glass Condensate?