English

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

High Energy Physics - Phenomenology 2014-11-20 v4

Abstract

The time scale Δt\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 Δt\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 Z0Z^0 hadronic the Δt\Delta t given value of ~102410^{-24} seconds is the particles' emission time prescribed by the Z0Z^0 lifetime. In heavy ion collisions Δt\Delta t measures the emission time duration of the particles produced from a nucleus of atomic number AA 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 Δt\Delta t values deduced from the BEC analyzes of heavy ion collisions.

Keywords

Cite

@article{arxiv.0910.0138,
  title  = {On the role of the time scale Delta t in Bose-Einstein correlations},
  author = {Gideon Alexander and Erez Reinherz-Aronis},
  journal= {arXiv preprint arXiv:0910.0138},
  year   = {2014}
}

Comments

8 pages, 5 figures