A look at multiparticle production via modified combinants

Abstract

As shown recently, one can obtain additional information from the measured charged particle multiplicity distributions, P (N ), by investigating the so called modified combinants, C j , extracted from them. This information is encoded in the observed specific oscillatory behavior of C j , which phenomenologically can be described only by some combinations of compound distributions based on the Binomial Distribution. So far this idea has been checked in pp and e + e − processes (where observed oscillations are spectacularly strong). In this paper we continue observation of multiparticle production from the modified combinants perspective by investigating dependencies of the observed oscillatory patterns on type of colliding particles, their energies and the phase space where they are observed. We also offer some tentative explanation based on different types of compound distributions and stochastic branching processes.

On Multiparticle Production in Very High Energy Scattering

“…Once the model is rigorously tested against datasets, there are all kinds of phenomenological studies that can be performed. An interesting direction of recent study has been towards modified combinants of multiplicity distribution [26][27][28]. Some preliminary calculations show promising results from our distribution towards these interesting quantities.…”

Sub-Poissonian multiplicity distributions in jets produced in hadron collisions

“…This is in contradiction with the measured P (N ) where the observed multiplicities N = 5. By continuing to stick to BD, our previ- ous experiences [7,[9][10][11] tell us that a potential solution might be to use the sum of two BD's instead of one. However, as we will show in the Appendix B, it is not possible to describe both P (N ) and its corresponding C j with this approach.…”

“…are the factorial moments. As shown in [9,11] the K q can be expressed as an infinite series of the C j ,…”

“…The memory of that relationship is encoded in coefficients C j called modified combinants. They were introduced and intensively discussed in [6][7][8][9][10][11][12][13]. By inverting the recursion (5) we obtain an equation that allows us to determine C j from the measured P (N ),…”

“…However, both C j and K q share the property of additivity. It turns out that most of the measured multiplicity distributions P (N ) give oscillatory combinants C j with increasing index j which arise due to the presence of a BD component in the measured P (N ) [7][8][9][10][11][12].…”