On an algorithm for simulation of multiparticles events
Čelâbinskij fiziko-matematičeskij žurnal, Tome 7 (2022) no. 4, pp. 466-479.

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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.
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V. V. Uchaikin; V. A. Litvinov; E. V. Kozhemyakina. On an algorithm for simulation of multiparticles events. Čelâbinskij fiziko-matematičeskij žurnal, Tome 7 (2022) no. 4, pp. 466-479. http://geodesic.mathdoc.fr/item/CHFMJ_2022_7_4_a5/

[1] Dremin I. M., Cary J. W., “Hadron multiplicities”, Physical Reports, 349 (2001), 301–393. | DOI | Zbl

[2] Armesto N., “Review of Monte Carlo methods for particle multiplicity evaluation”, Journal of Physics: Conference Series, 5 (2005), 219–229 | DOI

[3] Sjostrand T., Mrenna S., Skands P., “PYTHIA 6.4 Physics and Manual”, Journal of High Energy Physics, 2006:JHEP05(2006) (2006) | DOI

[4] Bylinkin A.A., Two-component model for the production of hadrons in the collision of high-energy particles, PhD. Thesis, Institute of Theoretical and Experimental Physics, Moscow, 2014 (In Russ.)

[5] Drozhzhova T.A., Investigation of fluctuations in the number of participating nucleons and selection of events by centrality in experiments on collisions of ultrarelativistic nuclei, PhD. Thesis, St. Petersburg State University, St. Petersburg, 2018 (In Russ.)

[6] Uchaikin V.V., Ryzhov V.V., Stochastic theory of high-energy particle transport, Nauka Publ., Siberian Branch, Novosibirsk, 1988 (In Russ.) | MR

[7] Gol'danskii V.I., Nikitin Yu.P., Rozental I.L., Kinematic methods in high energy physics, Nauka Publ., Novosibirsk, 1987 (In Russ.)

[8] Botet R., Ploszajczak M., Universal Fluctuations: The Phenomenology of Hadronic Matter, World Scientific, Singapore, 2002 | MR | Zbl

[9] Bzdak A., “Universality of multiplicity distribution in proton-proton and electron-positron collisions”, Physical Review D, 96 (2017), 036007 | DOI

[10] Lavrentiev M.M., “On integral equations of the first kind”, Reports of the USSR Academy of Sciences, 127:1 (1959), 31–33 (In Russ.) | MR | Zbl

[11] Thome W., et al. (Aachen-CERN-Heidelberg-Munich Collaboration), “Charged Particle Multiplicity Distributions in Collisions at ISR Energies”, Nuclear Physics B., 129 (1977), 365 | DOI

[12] Sarycheva L. I., Physics of fundamental interactions, KDU Publ., Moscow, 2008 (In Russ.)