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Energy Estimation from the Angular Distribution of 20-GeV/c Pion Interactions in Photographic Emulsion

E. R. Goza and S. Krzywdzinski*

C. O. Kim and J. N. Park

  • Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803

  • Department of Physics, Korea University, Seoul, Korea

  • *On leave from the Institute of Nuclear Research, Krakow, Poland.
  • Part of the present work was submitted by J. N. Park to the Department of Physics, Korea University as his Master of Science thesis (1968).

Phys. Rev. D 2, 1838 – Published 1 November, 1970

DOI: https://doi.org/10.1103/PhysRevD.2.1838

Abstract

Interactions of 20-GeV/c negative pions in photographic emulsion have been analyzed in order to compare and test the methods of energy estimation commonly used in high-energy cosmic-ray investigations. The energy of each pion interaction has been determined from the angular distribution of the secondary particles using the median-angle, Castagnoli, Ech, and E(θ) methods. The interactions have been divided into various groups according to the number Nh of evaporation prongs and the number ns of secondary particles. The median-angle, Castagnoli, and E(θ) methods all overestimate the energy of the group with Nh5 (ns4) by factors of 1.5, 1.2, and 1.1, respectively. These same methods underestimate the energy of the group with Nh>5 (ns4) by factors of 1.3, 2.0, and 2.3, respectively. The Ech method underestimates the energies of the groups with Nh5 (ns4) and Nh>5 (ns4) by factors of 1.3 and 1.5, respectively. These underestimates by the Ech method become 0.9 and 1.0 if the general practice of including the effect of neutral secondaries to the Ech method is adopted. For all the various groupings of Nh and ns considered, the Ech method yields the most consistent and uniform results with the smallest standard deviations than any of the other three methods.

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