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arXiv · 0910.0138

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

Gideon Alexander·Erez Reinherz-Aronis
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Abstract

The time scale $\Delta t$ 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 $\Delta t$ 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 $\Delta t$ given value of ~$10^{-24}$ seconds is the particles' emission time prescribed by the $Z^0$ lifetime. In heavy ion collisions $\Delta t$ measures the emission time duration of the particles produced from a nucleus of atomic number $A$ which is here shown to be equal to $\Delta t =(m_{\pi}a^2)/(\hbar c^2})*A^{2/3}$ where a is about 1 fm, that is, proportional to the nucleus surface area. This dependence agrees rather well with the experimental $\Delta t$ values deduced from the BEC analyzes of heavy ion collisions.

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Gideon Alexander, Erez Reinherz-Aronis. 2009-10-01. On the role of the time scale Delta t in Bose-Einstein correlations. https://doi.org/10.1016/j.physletb.2010.03.039

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