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 $r_{||}=c\sqrt{\hslash \Delta t}/\sqrt{m_T}$, 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.

10 pges, 2 figures

References in corpus (2)

• Transverse and Longitudinal Bose Einstein Correlations in hadronic Z0 Decays
• Measurement of an Elongation of the Pion Source in Z Decays

Cited by in corpus (6)

• Bose-Einstein and Fermi-Dirac Interferometry in Particle Physics
• Pion femtoscopy in p+p collisions at sqrt(s)=200 GeV
• Bose-Einstein study of position-momentum correlations of charged pions in hadronic Z0 decays
• On the role of the time scale Delta t in Bose-Einstein correlations
• The transverse momentum dependence of charged kaon Bose-Einstein correlations in the SELEX experiment
• Correlations of two photons at hadron colliders