Cumulative Proton Production in p + C Interactions at 4.2 and 10 GeV/c and the Uncertainty Principle

In this paper we study the cumulative proton production in $$p + C$$ interactions at $$4.2$$ and 10 $${\text{GeV/}}c$$ . Cumulative protons in comparison with the noncumulative ones are produced at large values of the variable $${{n}_{{\text{c}}}} > 1$$ and in this region the energy of cumulative protons also increases. The experimentally obtained values of the cumulative proton energies are compared with the estimations got by the formula of the uncertainty principle. It has been shown that the energy of cumulative protons obtained by using the formula of the uncertainty principle is in agreement with the experimental results.