Inclusive spectra and Bose-Einstein correlations in small thermal quantum systems

Abstract

The spectra and correlation of identical particles emitted from small local-equilibrium sources are considered. The size of the system is defined by the negative part of the parabolic falling chemical potential. The analytical solution of the problem is found for the case of inclusive measurements. It is shown that in the case where the size of the system is comparable to the thermal wavelength of the particles, the spectra and correlation functions are far from the quasiclassical approximation expected for large systems, and observed femtoscopy scales (interferometry radii) will be essentially smaller than the Gaussian radii of the source. If the maximum value of the chemical potential approaches the critical one, specific for the system, one can consider the possibility of Bose-Einstein condensation. In such a case, the reduction of the intercept of the correlation function for inclusive measurements takes place. The results can be used for the searching of femtoscopy homogeneity lengths in proton-proton collisions at LHC energies.

Bose-Einstein momentum correlations at fixed multiplicities: Lessons from an exactly solvable thermal model for $pp$ collisions at the LHC

“…Now, let us apply the fixed particle number constraint to the grand-canonical statistical operator (8) to define canonical statistical operator ρ N . For this aim, one can utilize the projection operator P N ,…”

“…The detail analysis of inclusive spectra and Bose-Einstein correlations in small thermal quantum systems was done very recently in Ref. [8]. It is shown that non-trivial coherence parameter appears in inclusive two-boson spectra only in the case of coherent condensate formation.…”