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We consider the prompt photon production in pp collisions using, within theframework of perturbative QCD, a non-Gaussian distribution for the transversemomentum distribution of the partons inside the proton. Our description adoptsthe widely used in the literature factorization of the partonic momentumdistribution into longitudinal and transverse components. It is argued that thenon-Gaussian distribution of the intrinsic transverse momenta of the partons isdictated by the asymptotic freedom as well as the 3D confinement of the partonsin the proton. To make this association more transparent we use the MIT bagmodel, which plainly incorporates both properties (asymptotic freedom,confinement), in order to determine in a simplified way the partonic transversemomentum distribution. A large set of data from six different experiments havebeen fitted with this simple description using as a single free parameter themean partonic transverse momentum <kT>. Surprisingly enough, a perfect fit ofthe experimental data turns out to require <kT> values which are compatiblewith Heisenberg's uncertainty relation for the proton and decrease almostsmoothly as a function of the scaled variable z=pT/\sqrt{s}, where pT is thetransverse momentum of the final photon and \sqrt{s} is the beam energy in thecenter of mass frame. Our analysis indicates that asymptotic freedom and 3Dconfinement may influence significantly the form of the partonic transversemomentum distribution leaving an imprint on the pp\to{\gamma}+X cross section.

MIT bag model inspired partonic transverse momentum distribution for prompt photon production in pp collisions