Mass and Transverse Mass Effects on the Hadron Emitter Size

Abstract

We investigate the dependence of the longitudinal emitter dimension of identical bosons, produced in the hadronic Z$^0$ decays, on their transverse mass obtained from 2-dimensional Bose-Einstein correlations (BEC) analyses. We show that this dependence is well described by the expression $r_{||}=c\sqrt{\hbar\Delta t}/\sqrt{m_T}$, deduced from the uncertainty relations, setting $\Delta t$ to be a constant of the order of $10^{-24}$ sec. 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.