English

The dependence of the emission size on the hadron mass

High Energy Physics - Phenomenology 2011-07-19 v3

Abstract

The size of the emission volume of pions and kaons, r_{\pi\pi} and r_{KK}, were measured in the hadronic Z^0 decays through the two-pion and two-kaon Bose-Einstein correlations near threshold. Recently the emitter size of the two identical baryons, \Lambda \Lambda (\bar \Lambda \bar \Lambda), was evaluated from the dependence of the fraction of the spin S=1 state on the energy near threshold where it is affected by the Pauli exclusion principle. Here we show that the r dependence on the particle masses, namely the hierarchy r_{\pi\pi} > r_{KK} > r_{\Lambda \Lambda} observed in the Z^0 hadronic decays, is well described in terms of the Heisenberg uncertainty principle. A good description can also be obtained via the virial theorem when applied to a general QCD potential. Other available approaches are also discussed.

Keywords

Cite

@article{arxiv.hep-ph/9901341,
  title  = {The dependence of the emission size on the hadron mass},
  author = {Gideon Alexander and Iuliana Cohen and Eugene Levin},
  journal= {arXiv preprint arXiv:hep-ph/9901341},
  year   = {2011}
}

Comments

11 pages, 3 figures