Quantum Mechanical Localization Effects for Bose-Einstein Correlations
U. A. Wiedemann, P. Foka, H. Kalechofsky, M. Martin, C. Slotta, Q. H. Zhang
Abstract
For a set of N identical massive boson wavepackets with optimal initial quantum mechanical localization, we calculate the Hanbury-Brown/Twiss (HBT) two-particle correlation function. Our result provides an algorithm for calculating one-particle spectra and two-particle correlations from an arbitrary phase space occupation (qi,pi,ti)i=1,N as e.g. returned by event generators. It is a microscopic derivation of the result of the coherent state formalism, providing explicit finite multiplicity corrections. Both the one- and two-particle spectra depend explicitly on the initial spatial wavepacket width which parametrizes the quantum mechanical wavepacket localization. They provide upper and lower bounds which suggest that a realistic value for this width has the order of the Compton wavelength.
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