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Description
The production of protons with a large transverse momentum in the central rapidity region at high energies due to the process of coherent coalescence (recombination) of quarks is considered. The inclusive cross section of proton production is studied near the kinematic boundary of pp and dd reactions. In this kinematic region, explicit asymptotic formulas are obtained for the inclusive cross section based on the analysis of Feynman diagrams describing the production of protons due to the process of coherent recombination of quarks.
In particular, an asymptotic form of the dependence of the inclusive cross section on the distance to the kinematic boundary of the process for a given angle of emission (pseudorapidity) of the produced proton is found. The obtained expressions also allow tracing the dependence of the cross section on other dimensional parameters of the model - the geometric dimensions of the scattering objects and the mass of the constituent quark. A comparison of the obtained results with the quark counting rules for the inclusive cross-section of pion production in these processes, obtained earlier in the mechanism of fragmentation of a single quark into a pion [1,2], was carried out.
The developed approach and the obtained asymptotic dependences (new quark counting rules) for inclusive cross sections of proton and pion production can be verified experimentally by studying proton and pion production in the region of large transverse momenta and central rapidities in the SPD and MPD experiments at the NICA collider. We also note that for reliable registration of very rare particle production near the kinematic boundaries of pp and dd reactions and separation of their tracks from various kinds of false background tracks, it is highly desirable to have a signal from the Internal Tracking System, allowing confirmation of the exit of the track of the registered particle from the primary interaction vertex.
The authors are grateful to Saint-Petersburg State University for research project 103821868 and travel grant 137734523.
- V. Vechernin, S. Yurchenko, Int. J. Mod. Phys. E 33, 2441022 (2024)
- S. Yurchenko, V. Vechernin, Phys. Atom. Nucl. 88, 349 (2025)
