| Abstract: | The properties of the collective variables  m (m=1, 2), T, and P, which are used extensively in high-energy physics, are investigated. It is shown that the variables m are intimately related to the dipole (m=1) and quadrupole (m=2) moments. A general equation is given for calculating the variance of m 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.Deceased.A. R. Beruni State Technical University, Tashkent. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 79–83, March, 1993. |
