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We study the inclusive production of isolated prompt photons within theframework of the quasi-multi-Regge-kinematic approach, applying the quarkReggeization hypothesis. We describe accurately and without free parameters thetransverse momentum and pseudorapidity spectra of prompt photons in theinclusive photoproduction at the HERA Collider. It is shown that the mainmechanism of the inclusive prompt photon production in the gamma p collisionsis the fusion of a Reggeized quark (antiquark) from the proton and a collinearantiquark (quark) from the photon into a photon, via the effectiveReggeon-quark-gamma vertex. The fragmentation of the quark, which is producedvia the gamma-Reggeon-quark and quark-Reggeon-quark vertices, into a photon isstrongly suppressed by the isolation cone condition and it gives a significantcontribution in the region of a large negative pseudorapidity only. At thestage of numerical calculations we use the Kimber-Martin-Ryskin prescriptionfor unintegrated quark and gluon distribution functions, with the followingcollinear parton densities as input: MRST for a proton and GRV for a photon.

Prompt photon photoproduction at HERA within the framework of the quark Reggeization hypothesis