Mass and transverse mass effects on the hadron emitter size

We investigate the dependence of the longitudinal emitter dimension r|| of identical bosons, produced in the hadronic Z0 decays, on their transverse mass mT obtained from 2-dimensional Bose–Einstein correlations (BEC) analyses. We show that this dependence is well described by the expression r||=cℏΔt /mT, deduced from the uncertainty relations, setting Δt to be a constant of the order of 10−24 s. This equation is essentially identical to the one previously applied to the 1-dimensional BEC results for the emitter radius dependence on the boson mass itself. It is further shown that a very similar behaviour exists also for the dependence of the interatomic separation in Bose condensates on their atomic masses when they are at the same very low temperature.