ON THE DYNAMICAL FLUCTUATION OF SINGLE-EVENT TRANSVERSE MOMENTUM DISTRIBUTION

Assuming that the single-event transverse momentum distribution fluctuates event by event according to a distribution functional, we derive analytical expressions for both the variance of event-wise mean transverse momentum and the two-particle transverse momentum correlation. The relation between these two is discussed. An evaluation of statistical fluctuation is given. An exponential form for the single-event transverse momentum distribution is taken as an example to demonstrate our method for extracting event-by-event dynamical fluctuation of single-event transverse momentum distribution from experimental data.