Various models for pion probability distributions from heavy-ion collisions

Journal Article · Tue Dec 01 04:00:00 EST 1998 · Physical Review, C

DOI:https://doi.org/10.1103/PhysRevC.58.3627· OSTI ID:670255

Mekjian, A Z ^[1]; Mekjian, A Z; Schlei, B R; Strottman, D ^[2]; Schlei, B R ^[3]

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1. Department of Physics, Rutgers University, Piscataway, New Jersey 08854 (United States)
2. Theoretical Division, DDT-DO, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
3. Physics Division, P-25, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

Various models for pion multiplicity distributions produced in relativistic heavy ion collisions are discussed. The models include a relativistic hydrodynamic model, a thermodynamic description, an emitting source pion laser model, and a description which generates a negative binomial description. The approach developed can be used to discuss other cases which will be mentioned. The pion probability distributions for these various cases are compared. Comparison of the pion laser model and Bose-Einstein condensation in a laser trap and with the thermal model are made. The thermal model and hydrodynamic model are also used to illustrate why the number of pions never diverges and why the Bose-Einstein correction effects are relatively small. The pion emission strength {eta} of a Poisson emitter and a critical density {eta}{sub c} are connected in a thermal model by {eta}/n{sub c}=e{sup {minus}m/T}{lt}1, and this fact reduces any Bose-Einstein correction effects in the number and number fluctuation of pions. Fluctuations can be much larger than Poisson in the pion laser model and for a negative binomial description. The clan representation of the negative binomial distribution due to Van Hove and Giovannini is discussed using the present description. Applications to CERN/NA44 and CERN/NA49 data are discussed in terms of the relativistic hydrodynamic model. {copyright} {ital 1998} {ital The American Physical Society}

• OSTI ID: 670255
• Journal Information: Physical Review, C, Journal Name: Physical Review, C Journal Issue: 6 Vol. 58; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BOSE-EINSTEIN CONDENSATION
DISTRIBUTION FUNCTIONS
FLUCTUATIONS
HEAVY ION REACTIONS
NUCLEAR MODELS
PIONS