Multi-Boson Correlations Using Wave-Packets
Abstract
Brooding over bosons, wave packets and Bose - Einstein correlations, we present a generic quantum mechanical system that contains arbitrary number of bosons characterized by wave-packets and that can undergo a Bose-Einstein condensation either by cooling, or increasing the number density of bosons, or by increasing the overlap of the multi-boson wave-packet states, achieved by changing the size of the single-particle wave-packets. We show that the n-particle correlations may mimic coherent or chaotic behaviour for certain limiting wave-packet sizes. Effects of complete n-particle symmetrization are included. The resulting weights which fluctuate between 1 and n! are summed up with the help of a formal analogy between the considered wave-packet system and an already explored multi-boson plane-wave system. We solve the model analytically in the highly condensed and in the rare gas limiting cases, numerically in the intermediate cases. The relevance of the model to multi-pion production in high energy heavy ion physics as well as to the Bose-Einstein condensation of atomic vapours is discussed. As a by-product, a new class of probability distribution functions is obtained, event-by-event fluctuations of single-particle momentum distributions are predicted and the critical density for the onset of pion-lasing in high energy heavy ion collisions is derived.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 1997
- DOI:
- 10.48550/arXiv.hep-ph/9705432
- arXiv:
- arXiv:hep-ph/9705432
- Bibcode:
- 1997hep.ph....5432Z
- Keywords:
-
- High Energy Physics - Phenomenology;
- High Energy Physics - Theory;
- Nuclear Theory;
- Physics - Optics;
- Quantum Physics
- E-Print:
- 35 pages, LaTeX, uses 7 eps figures and epsf.sty, misprints are corrected in 6 equations including the expression for the critical pion number, plot style for figures is improved