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

preprint2010arXivOpen access

Abstract

The time scale ΔtΔt 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 ΔtΔt as a measure of the particles' emission time rather than representing the strength property of the correlated particles. Thus in the analyzes of the Z0Z^0 hadronic the ΔtΔt given value of ~10−2410^{-24} seconds is the particles' emission time prescribed by the Z0Z^0 lifetime. In heavy ion collisions ΔtΔt measures the emission time duration of the particles produced from a nucleus of atomic number AA 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 ΔtΔt values deduced from the BEC analyzes of heavy ion collisions.

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