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Power-Law Energy Spectrum Deduced from the Angular Distribution of Nuclear Interactions of 20 to ∼103 GeV

C. O. Kim and K. S. Sim

  • Department of Physics, Korea University, Seoul, Korea

Phys. Rev. D 7, 2597 – Published 1 May, 1973

DOI: https://doi.org/10.1103/PhysRevD.7.2597

Abstract

The log10F plots of the angular distribution for the forward-cone secondaries, observed in high-energy nuclear interactions produced in nuclear emulsion, are found to fit well to a linear function of η(θ) [0.46lntanθ], i.e., log10F=αη(θ)+γ. This fact is used to argue for the power-law differential energy spectrum in multiple production with the index of power αln10, with the aid of already established experimental results. The values of α, obtained from fitting procedures, are approximately equal to - 1 for nuclear interactions with a sufficient number of charged secondaries in a wide range of the primary energy Ep between 20 and ∼ 103 GeV. It is also concluded, from the systematic study of the 1335 30-GeV/c proton jets, that the nature of the target nucleus in the hadron-nucleus collisions does not affect the shape of the angular distribution of the forward-cone secondaries.

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