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Properties of certain collective variables used in high-energy physics

  • Elementary Particle Physics And Field Theory
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Russian Physics Journal Aims and scope

Abstract

The properties of the collective variables βm (m=1, 2), T, and P, which are used extensively in high-energy physics, are investigated. It is shown that the variables βm are intimately related to the dipole (m=1) and quadrupole (m=2) moments. A general equation is given for calculating the variance of βm for azimuth angles having any probability density function; well-known special cases are deduced from this equation. Two collective variables, the “oblateness” T and the “prolateness” P, have the property of stability when the momentum distribution of particles in the ground state is symmetric about some axis. This property should be useful in searches for events of the “jet” and “vortex” type.

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Authors
  1. G. G. Arushanov
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  2. R. K. Zayanov
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  3. A. I. Érgashev
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Additional information

Deceased.

A. R. Beruni State Technical University, Tashkent. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 79–83, March, 1993.

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Arushanov, G.G., Zayanov, R.K. & Érgashev, A.I. Properties of certain collective variables used in high-energy physics. Russ Phys J 36, 253–256 (1993). https://doi.org/10.1007/BF00559630

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  • DOI: https://doi.org/10.1007/BF00559630

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