Particle Interferometry from 40 MeV to 40 TeV

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 ee 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 UA(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.