dorsal/arxiv
View SchemaVarious Models for Pion Probability Distributions from Heavy-Ion Collisions
| Authors | A. Z. Mekjian, B. R. Schlei, D. Strottman |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9808018 |
| URL | https://arxiv.org/abs/nucl-th/9808018 |
| DOI | 10.1103/PhysRevC.58.3627 |
| Journal | Phys.Rev.C58:3627-3635,1998 |
Abstract
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 $\eta_c$ are connected in a thermal model by $\eta/n_c = e^{-m/T} < 1$, 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.
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"abstract": "Various models for pion multiplicity distributions produced in relativistic\nheavy ion collisions are discussed. The models include a relativistic\nhydrodynamic model, a thermodynamic description, an emitting source pion laser\nmodel, and a description which generates a negative binomial description. The\napproach developed can be used to discuss other cases which will be mentioned.\nThe pion probability distributions for these various cases are compared.\nComparison of the pion laser model and Bose-Einstein condensation in a laser\ntrap and with the thermal model are made. The thermal model and hydrodynamic\nmodel are also used to illustrate why the number of pions never diverges and\nwhy the Bose-Einstein correction effects are relatively small. The pion\nemission strength $\\eta$ of a Poisson emitter and a critical density $\\eta_c$\nare connected in a thermal model by $\\eta/n_c = e^{-m/T} \u003c 1$, and this fact\nreduces any Bose-Einstein correction effects in the number and number\nfluctuation of pions. Fluctuations can be much larger than Poisson in the pion\nlaser model and for a negative binomial description. The clan representation of\nthe negative binomial distribution due to Van Hove and Giovannini is discussed\nusing the present description. Applications to CERN/NA44 and CERN/NA49 data are\ndiscussed in terms of the relativistic hydrodynamic model.",
"arxiv_id": "nucl-th/9808018",
"authors": [
"A. Z. Mekjian",
"B. R. Schlei",
"D. Strottman"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.58.3627",
"journal_ref": "Phys.Rev.C58:3627-3635,1998",
"title": "Various Models for Pion Probability Distributions from Heavy-Ion Collisions",
"url": "https://arxiv.org/abs/nucl-th/9808018"
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