Quantum Mechanical Localization Effects for Bose-Einstein Correlations

For a set of N identical massive boson wavepackets with optimal initial quantum mechanical localization, we derive the Hanbury-Brown/Twiss (HBT) two-particle correlation function. Our result provides finite multiplicity corrections to the coherent state formalism and allows to trace back an error in the so-called cos-prescription. It suggests that what the HBT radius parameters in very small boson emitting systems (e.g. Z_0-decays, p-pbar annihilation) measure is essentially the initial spatial wavepacket width. Both one- and two-particle spectra depend explicitly on this width. Our derivation gives an algorithm for calculating one-particle spectra and two-particle correlations from an arbitrary phase space occupation (q_i,p_i,t_i) as e.g. returned by event generators of heavy ion collisions.