Prompt photon production in a bremsstrahlung in proton-proton collisions at $\sqrt{\mathbf{s}}$=10 GeV NICA energies

The dependence of differential cross-section of prompt photon production in bremsstrahlung $qq\to qq\gamma$ at collisions of nonpolarized and longitudinally polarized protons at $\sqrt{s}$=10 GeV NICA energies on the kinematic parameters: sum of energy of the colliding protons $\sqrt{s}$, the transverse momentum \emph{p\textsubscript{T}}, the cosine of the scattering angle \emph{Cos(θ)}, the rapidity \emph{y} of photon and \emph{x\textsubscript{T}} has been investigated. Differential cross-section of bremsstrahlung accounts for 0.03% of the total diferential cross section for the production of prompt photons in a proton-proton collisions at NICA entrgies. The polarization of protons has a large influence on the differential cross-section of bremsstrahlung $qq\to qq\gamma$, at large values of the transverse momentum of prompt photons. Double spin asymmetry of process of bremsstrahlung on the kinematic parameters has been studied.