arXiv subjects
Publications and source records attributed to Z. Wlodarczyk.
The extended Gaussian ensemble introduced recently as a generalization of the canonical ensemble, which allows to treat energy fluctuations present in the system, is used to analyze the inelasticity distributions in high energy multiparticle production processes.
We propose extension of the numerical method to model effect of Bose-Einstein correlations (BEC) observed in hadronization processes which allows for calculations not only correlation functions $C_2(Q_{inv})$ (one-dimensional) but also corresponding to them $C_2(Q_{x,y,z})$ (i.e., three-dimensional). The method is based on the bunching of identical bosonic particles in elementary emitting cells (EEC) in phase space in manner leading to proper Bose-Einstein form of distribution of energy (this was enough to calculate $C_2(Q_{inv})$). To obtain also $C_2(Q_{x,y,z})$ one has to add to it also symmetrization of the multiparticle wave function to properly correlate space-time locations of produced particles with their energy-momentum characteristics.
We review hitherto attempts to look at the multiparticle production processes from the Information Theory point of view (both in its extensive and nonextensive versions).
We describe an attempt to model numerically Bose-Einstein correlations (BEC) from "within", i.e., by using them as the most fundamental ingredient of some Monte Carlo event generator (MC) rather than considering them as a kind of (more or less important, depending on the actual situation) "afterburner", which inevitably changes original physical content of the MC code used to model multiparticle production process.
Stochastic networks represent very important subject of research because they have been found in almost all branches of modern science, including also sociology and economy. We provide a information theory point of view, mostly based on its nonextensive version, on their most characteristic properties illustrating it with some examples.
Numerical modelling of quantum effects caused by bosonic or fermionic character of secondaries produced in high energy collisions of different sorts is at the moment still far from being established. In what follows we propose novel numerical method of modelling Bose-Einstein correlations (BEC) observed among identical (bosonic) particles produced in such reactions. We argue that the most natural approach is to work directly in the momentum space of produced secondaries in which the Bose statistics reveals itself in their tendency to bunch in a specific way in the available phase space. Fermionic particles can also be treated in similar fashion.
We look at multiparticle production processes from the nonextensive point of view. Nonextensivity means here the systematic deviations in exponential formulas provided by the usual statistical approach for description of some observables like transverse momenta or rapidity distributions. We show that they can be accounted for by means of single parameter q with |q-1| being the measure of nonextensivity. The whole discussion will be based on the information theoretical approach to multiparticle processes proposed by us some time ago.
We propose novel numerical method of modelling Bose-Einstein correlations (BEC) observed among identical (bosonic) particles produced in multiparticle production reactions. We argue that the most natural approach is to work directly in the momentum space in which Bose statistics of secondaries reveals itself in their tendency to bunch in a specific way in the available phase space. Because such procedure is essentially identical to the clan model of multiparticle distributions proposed some time ago, therefore we call it the Quantum Clan Model.
The showers of cosmic rays entering the Earth's atmosphere are main sources of information on cosmic rays and are also believed to provide information on elementary interactions at energies not accessible to accelerators. In this context we would like first to remind the role of inelasticity K and elementary cross section $σ$ and then argue that similar in importance are fluctuations of different observables. The later will be illustrated by multiplicity fluctuations in hadronic and nuclear collisions.
Recently new data from the Cosmo-LEP project appeared, this time from DELPHI detector. They essentially confirm the findings reported some time ago by ALEPH, namely the appearence of bundles of muons with unexpectedly high multiplicities, which so far cannot be accounted by present day models. We argue, using arguments presented by us some time ago, that this phenomenon could be regarded as one more candidate for the presence in the flux of cosmic rays entering the Earth's atmosphere from outer space nuggets od Strange Quark Matter (SQM) in form of so called strangelets.
Assuming that cosmic rays entering the Earth's atmosphere contain a small admixture of nuggets of strange quark matter in form of strangelets one can explain a number of apparently "strange" effects observed in different cosmic rays experiments. We shall demonstrate here that the mass spectrum of such strangelets filles the "nuclear desert" gap existing between the heaviest elements observed in Universe and the next "nuclear-like objects" represented by neutron and strange stars.
We discuss recently measured event-by-event fluctuations of transverse momentum and of multiplicity in relativistic heavy-ion collisions. It is shown that the non-monotonic behavior of the p_T-fluctuations as a function of collision centrality can be fully explained by the observed non-monotonic multiplicity fluctuations. A possible mechanism responsible for the multiplicity fluctuations is also considered.
We discuss recently measured event-by-event multiplicity fluctuations in relativistic heavy-ion collisions. It is shown that the non-monotonic behavior of the multiplicity fluctuations as a function of collision centrality can be fully explained by the correlations between produced particles.
We demonstrate that hadron production viewed as formation of specific stochastic network can explain in natural way the power-law distributions of transverse mass spectra of pions found recently, which seem to substitute the expected Boltzmann statistical factor.
The application of information theory approach (both in its extensive and nonextensive versions) to high energy multiparticle processes is discussed and confronted with experimental data on e+e- annihilation processes, pp and \bar{p}p scatterings and heavy ion collisions.
We argue that recent data on fluctuations observed in heavy ion collisions show non-monotonic behaviour as function of number of participants (or "wounded nucleons") N_W. When interpreted in thermodynamical approach this result can be associated with a possible structure occuring in the corresponding equation of state (EoS). This in turn could be further interpreted as due to the occurence of some characteristic points (like "softest point" or "critical point") of EoS discussed in the literature and therefore be regarded as a possible signal of the QGP formation in such collisions. We show, however, that the actual situation is still far from being clear and calls for more investigations of fluctuation phenomena in multiparticle production processes to be performed.
The new method of numerical modelling of Bose-Einstein correlations observed in all kinds of multiparticle production processes is proposed.
It is demonstrated how to obtain the least biased description of the single particle spectra measured in all multiparticle production processes by using information theory approach (known also as MaxEnt approach). The case of e+e- annihilation in hadrons process is discussed in more detail as an example. Comparison between MaxEnt approach and simple dynamical model based on the cascade process is presented as well.