Physics

On an algorithm for simulation of multiparticles events

V. V. Uchaikin^a, V. A. Litvinov^b, E. V. Kozhemyakina<sup>a

a</sup> Ulyanovsk State University, Ulyanovsk, Russia
^b Barnaul Law Institute of the Ministry of Internal Affairs of Russia, Barnaul, Russia

Abstract: The paper considers an algorithm for the Monte Carlo simulation of multiparticle events based on a single-particle inclusive distribution and additional restrictions. It is shown that the proposed algorithm allows us to obtain an unbiased single-particle distribution when the restriction on the sum of values of random variables obtained in a single event is strictly fulfilled. Using the example of hadron interactions at ultrahigh energies, the possibility of recreating pre-defined statistical characteristics of an ensemble of particles generated in a single interaction is demonstrated. The possibility of imposing an additional restriction on the type of distribution is also discussed by the number of random variables obtained in a single event.

Keywords: Monte Carlo method, multiple production, multiplicity distribution, algorithm, inclusive spectrum.

UDC: 519.676

Received: 23.05.2022
Revised: 22.08.2022

DOI: 10.47475/2500-0101-2022-17406