Chaos in compound hadrons in high-energy hadronic interactions

Abstract

In this paper, a detailed study of the chaotic behavior of compound hadrons (pions plus protons) in π−–AgBr interactions at 350 GeV c−1 has been performed with the help of the parameter ‘entropy index’ μq, which is a measure of the chaotic behavior in multipion production processes. This index describes the event-to-event fluctuation of factorial moments that measures the spatial fluctuation of multiplicity distribution. The analysis reveals a large value for the entropy index signifying the chaotic behavior of the produced compound hadrons in high-energy hadron–nucleus interactions. It was been observed that the multipion production process becomes less chaotic with increasing average multiplicity of the final states. The study has been further extended to pions, and the corresponding results are compared.

Shannon information entropy in heavy-ion collisions

“…The physical interpretations of µ q as an entropy index are summarized as follows by Ghosh et al [209],…”

“…In the same article, Ghosh et al [209] commented that the notion of chaotic behavior for particle production in branching processes is more in classical viewpoint than in the quantum one since the concept of trajectory was adopted. While in the quantum viewpoint, the final state of the branching process will vary from event to event though all events start out at precisely the same virtuality.…”

“…The chaoticity analysis was applied to multiparticle production in hadronic collisions of π + + p and k + + p at 250 GeVc −1 [210], 32 S-AgBr at 200A GeV [211,212,213], 28 Si-AgBr [214,215], phase transition [216], and heartbeat irregularity [217]. In the same article, Ghosh et al [209] commented that the notion of chaotic behavior for particle production in branching processes is more in classical viewpoint than in the quantum one since the concept of trajectory was adopted. While in the quantum viewpoint, the final state of the branching process will vary from event to event though all events start out at precisely the same virtuality.…”