Bose-Einstein Condensation in Very High Multiplicity Events

Physics

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Bose-Einstein Condensation, High Pion Multiplicities, Finite Size Effects

Scientific paper

We consider the Bose-Einstein condensation (BEC) in a relativistic pion gas. The thermodynamic limit when the system volume V goes to infinity as well as the role of finite size effects are studied. At V → ∞ the scaled variance for particle number fluctuations, ω = <ΔN2>/, converges to finite values in the normal phase above the BEC temperature, T > TC. It diverges as ω ∝ V1/3 at the BEC line T = TC, and ω ∝ V at T < TC in a phase with the BE condensate. At high collision energy, in the samples of events with a fixed number of all pions, N, one may observe a prominent signal. When N increases the scaled variances for particle number fluctuations of both neutral and charged pions increase dramatically in the vicinity of the Bose-Einstein condensation line. As an example, the estimates are presented for p + p collisions at the beam energy of 70 GeV.

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