Parametrization of Bose–Einstein correlations and reconstruction of the space–time evolution of pion production in e+e− annihilation

Abstract

A parametrization of the Bose-Einstein correlation function of pairs of identical pions produced in hadronic e + e − annihilation is proposed within the framework of a model (the τ -model) in which space-time and momentum space are very strongly correlated. Using information from the Bose-Einstein correlations as well as from single-pion spectra, it is then possible to reconstruct the space-time evolution of pion production. ‡ Present address:

Test of the τ-model of Bose–Einstein correlations and reconstruction of the source function in hadronic Z-boson decay at LEP

“…In this model the simple Q dependence is a consequence of a strong correlation between a particle's fourmomentum and its space-time point of production. This strong correlation also leads to a decrease of the observed source size with increasing m t [24].…”

“…Then the two-particle Bose-Einstein correlation function is indeed found to depend on the invariant relative momentum Q, rather than on its separate components, as well as on the values of a of the two particles [24]:…”

“…Further, a Lévy distribution arises naturally from a fractal [70]. We are thus led to choose a one-sided Lévy distribution for H (τ ) [24]. The characteristic function of H (τ ) can then be written [55] (for α = 1) as 4…”

Bose–Einstein Correlations and Jet Structure of Hadronic <span class="cmmi-10">Z </span>Decays

“…We have recently published [1] a study of Bose-Einstein correlations (BEC) in hadronic Z decay where we found good agreement with parametrizations arising in the τ -model [2,3].…”

Bose-Einstein Correlations and the Tau Model

“…We choose a one-sided Lévy distribution, which is characterized by three parameters: the index of stability α, the proper time of the start of particle emission τ 0 , and ∆τ , which is a measure of the width of H(τ ). Then [13] …”