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The data on production of cumulative particles in the high transverse momentadomain (up to ~ 3.5 GeV/c) in proton-nucleus interactions are presented for thefirst time. An indication on the local character of particle production in thecumulative domain is obtained. The observed strong dependence of the particleproduction cross section on the atomic mass of the target does not fit the A -dependence obtained in the pre-cumulative and cumulative domains for lowtransverse momenta at constant part of the exponent. The experiment wasperformed at U70 (IHEP) with the extracted 50 GeV/c proton beam.

Production of high-PT cumulative particles in proton-nucleus interactions at 50 GeV