Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-01-18
Phys.Lett.B452:159-166,1999
Physics
High Energy Physics
High Energy Physics - Phenomenology
11 pages, 3 figures
Scientific paper
10.1016/S0370-2693(99)00257-9
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.
Alexander Gideon
Cohen Iuliana
Levin Eugene
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