On the role of the time scale Delta t in Bose-Einstein correlations

Abstract

The time scale $\hat{I}”t$ parameter, which appears in the Bose-Einstein Correlations (BEC) treated in term of the Heisenberg uncertainty relations, is reexamined. Arguments are given for the role of $\hat{I}”t$ as a measure of the particles' emission time rather than representing the strength property of the correlated particles. Thus in the analyzes of the $Z^0$ hadronic the $\hat{I}”t$ given value of ~$10^{-24}$ seconds is the particles' emission time prescribed by the $Z^0$ lifetime. In heavy ion collisions $\hat{I}”t$ measures the emission time duration of the particles produced from a nucleus of atomic number $A$ which is here shown to be equal to $Δt =(m_πa^2)/(\hbar c^2})*A^{2/3}$ where a is about 1 fm, that is, proportional to the nucleus surface area. This dependence agrees rather well with the experimental $\hat{I}”t$ values deduced from the BEC analyzes of heavy ion collisions.

8 pages, 5 figures