Clan structure analysis and rapidity gap probability

Abstract

Clan structure analysis in rapidity intervals is generalized from negative binomial multiplicity distribution to the wide class of compound Poisson distributions. The link of generalized clan structure analysis with correlation functions is also established. These theoretical results are then applied to minimum bias events and evidentiate new interesting features, which can be inspiring and useful in order to discuss data on rapidity gap probability at Tevatron and Hera.

Clan Structure Analysis and QCD Parton Showers in Multiparticle Dynamics: An Intriguing Dialog Between Theory and Experiment

“…The use of V 0 (∆w) and P 0 (n(∆w), k(∆w)) is of particular interest in the study of rapidity gaps in the various collisions [54].…”

“…A second important application of P 0 (∆y) resides with jet production in hadronhadron collisions: when jet production is associated with a colour-singlet exchange process, one expects a signature of rapidity gap events [53], while the production associated with colour-octet exchange (i.e., the one which is the focus of this review) will produce a much lower rate of empty rapidity intervals [54]. The difference between the two processes could lie in the different internal structure of clans [55]: in the colour-octet exchange, clans decay with a logarithmic distribution, as discussed in the previous section; in the colour-singlet exchange, clans decay with a geometric distribution.…”

“…i.e., the distribution is hierarchical, as K n = f (K 2 ). The use of V 0 (∆w) and P 0 (n(∆w), k(∆w)) is of particular interest in the study of rapidity gaps in the various collisions [54]. This representation of the distribution has been used in Section 4.2 in order to describe corrections to the multi-peripheral model predictions.…”

The average number of partons per clan in rapidity intervals in parton showers

“…Following the standard procedure [6], let us assume to produce in the first step (independently from the second one) N objects (N = 0, 1, . .…”

Multifractality and negative binomial distributions in high-energy interactions

“…It is found to hold not only for hadron-hadron [14,26], hadronnucleus [23,24] and nucleus-nucleus [25] collisions but also for semi-leptonic [27] and leptonic [17,21,22] processes as well. The NBD has been successfully interpreted in terms of clan structure [28,29] that typifies a cascading process.…”