Hadron Correlations at Energies from GeV to TeV

Abstract

One of the central issues in High Energy Physics is the close interchange between Theory and Experiment. Ever since I know Andrzej Bia{\l}as, I know him as one of the theorists most interested in experimental data. This has naturally led to continuous fruitful contacts. Even though we have been working somehow together since about 1968, we so far have only one single publication in common. This was back in 1969 and it was on means to efficiently study what we then called (exclusive) Multihadron Final States. At that time this meant 3- or at best 4-particle final states of two-hadron collisions at cms energies of some 4 GeV (not TeV!). The field of multiparticle dynamics was in fact the domain of Polish high-energy physicists. The first of a very successful (and still lasting) series of annual International Symposia on Multiparticle Dynamics was organized in Paris in 1970, but essentially by Polish physicists. Andrzej himself was not attending, but it was he who organized the third in these series in (of course) Zakopane. Since heavy ion-collisions, another field of major interest for Andrzej, will be covered by others, I here will restrict myself mainly to the collisions of two elementary particles.Comment: 32 pages, 26 figure

Target dependence of clan model parameter in 84 Kr 36 – Emulsion interactions at 1 GeV per nucleon

“…The probability of producing or detecting n number of particles in a pseudorapidity interval ∆η be P n (∆η). The probability generating function Q(λ) for P n (∆η) can be defined as [19], .…”

Single-particle space-momentum angle distribution effect on two-pion HBT correlation in high-energy heavy-ion collisions

“…This method was first shown by Hanbury Brown and Twiss in the 1950s [1], then this method was extended in p + p collisions by G. Goldhaber, S. Goldhaber, W. Lee and A. Pais [2]. Since then, the HBT method has been used in e + + e − , hadron+hadron, and heavy ion collisions [3,4,5].…”

Lévy Distributions for One-Dimensional Analysis of the Bose–Einstein Correlations

“…Here the ρ is the two-particle density function, ρ ref is a reference two-particle density function that by construction is expected to include no BEC. The detailed shape analysis of the peak of CF is an important topic on theoretical and experimental points of view because this shape carries information about the possible features of space-time structure of particle source [1,2]. For instance, the detail investigations have to do for shape of correlation peak in modern experiments with high statistics for verification of hypothesis of possible self-affine fractal-like geometry of emission region [3,4].…”