Estimation of hydrodynamical model parameters from the invariant spectrum and the Bose-Einstein correlations of π− mesons produced in (π+/K+)p interactions at 250 GeV/c

2004

Open Physics

A new family of simple analytic solutions of hydrodynamics is found for slowly expanding, rotationally symmetric fireballs assuming an ideal gas equation of state. The temperature profile is position-independent only in the collisionless gas limit. The Zimányi-Bondorf-Garpman solution and the Buda-Lund parameterization of expanding hydrodynamic particle sources are recovered as special cases. The results are applied to predict new features of proton correlations and spectra for 1.93 AGeV Ni+Ni collisions.

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

Simple analytic solution of fireball hydrodynamics

2004

Open Physics

“…Thus the Buda-Lund data analysis of central Au+Au spectra and correlation radii implies the existence of a superheated hadron gas in the very middle of the Au+Au collisions at RHIC, providing an indirect indication for the transition to deconfined matter [ 5]. However, at the lower CERN SPS energy, the central temperature was found, in similar frameworks, to be within errors the smaller 139 ± 6 MeV, both in hadron+proton collisions [ 3] and in Pb+Pb collisions [ 5], in line with the arguments of Landau that the freeze-out temperature of a hadron gas should be approximately the π 0 mass, the mass of the lightest neutral quanta that can be excited in such a system.…”

Section: Introductionmentioning

confidence: 74%

“…The Buda-Lund hydrodynamic model [ 1,2] was shown to describe in a statistically acceptable manner the single particle spectra and the two-particle Bose-Einstein correlations in hadron+proton collisions at CERN SPS [ 3]. The model, with different source parameters, also described well the identified single particle spectra and the two-particle Bose-Einstein correlations in Pb+Pb collisions at CERN SPS [ 4].…”

Section: Introductionmentioning

confidence: 98%

“…This model has been successfully applied to describe the double-differential invariant momentum distribution of charged particles in hadron+proton [ 3] and Pb+Pb collisions [ 4] at CERN SPS fixed target experiments, as well in Au+Au collisions at the RHIC collider energies of √ s N N = 130 GeV and 200 GeV [ 5]. Very few, if any, other models pass all of these tests (as far as we know).…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Analysis of Identified Particle Yields and Bose–Einstein (HBT) Correlations in p+p Collisions at RHIC

Acta Physica Hungarica A) Heavy Ion Physics

Csanád²,

Lörstad

et al. 2005

Self Cite

Particle Interferometry from 40 Mev to 40 Tev

Particle Production Spanning MeV and TeV Energies

2000

Recent developments are summarized in the theory of Bose-Einstein and Fermi-Dirac correlations, with emphasis on the necessity of a simultaneous analysis of particle spectra and quantum statistical correlations for a detailed reconstruction of the space-time picture of particle emission. The reviewed topics are as follows: basics and formalism of quantum-statistical correlations, model-independent analysis of short-range correlations, Coulomb wavefunction corrections and the core/halo picture for n-particle Bose-Einstein correlations, the graph rules to calculate these correlations even with partial coherence in the core; particle interferometry in e + e − collisions including the Andersson-Hofmann model; the invariant Buda-Lund particle interferometry; the Buda-Lund, the Bertsch-Pratt and Yano-Koonin-Podgoretskii parameterizations, the Buda-Lund hydro model and its applications to (π/K) + p and Pb + Pb collisions at CERN SPS, and to low energy heavy ion collisions; the binary source formalism and the related oscillations in the two-particle Bose-Einstein and Fermi-Dirac correlation functions; the experimental signs of expanding rings of fire and shells of fire in particle and heavy ion physics and their similarity to planetary nebulae in stellar astronomy; the signal of partial restoration of the axial U A (1) symmetry restoration in the two-pion Bose-Einstein correlation function; the back-to-back correlations of bosons with in-medium mass modifications; and the analytic solution of the pion-laser model. Keywords: particle correlations, Bose-Einstein correlations, Fermi-Dirac correlations, quantum statistical correlations, Coulomb final-state interactions, relativistic heavy ion collisions, low and intermediate energy heavy ion collisions, hydrodynamical models, collective flow, quark-gluon plasma, hadron production by electron-positron collision PACS: 27.75. Gz, 25.75.Ld, 24.10.Hz, 12.38.Mh, 13.65.+i "Imagination is more important than knowledge." A. Einstein