dorsal/arxiv
View SchemaDynamical simulation of DCC formation in Bjorken rods
| Authors | Troels C. Petersen, Jorgen Randrup |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9907051 |
| URL | https://arxiv.org/abs/nucl-th/9907051 |
| DOI | 10.1103/PhysRevC.61.024906 |
| Journal | Phys.Rev.C61:024906,2000 |
Abstract
Using a semi-classical treatment of the linear sigma model, we simulate the dynamical evolution of an initially hot cylindrical rod endowed with a longitudinal Bjorken scaling expansion (a ``Bjorken rod''). The field equation is propagated until full decoupling has occurred and the asymptotic many-body state of free pions is then obtained by a suitable Fourier decomposition of the field and a subsequent stochastic determination of the number of quanta in each elementary mode. The resulting transverse pion spectrum exhibits visible enhancements below 200 MeV due to the parametric amplification caused by the oscillatory relaxation of the chiral order parameter. Ensembles of such final states are subjected to various event-by-event analyses. The factorial moments of the multiplicity distribution suggest that the soft pions are non-statistical. Furthermore, their emission patterns exhibit azimuthal correlations that have a bearing on the domain size in the source. Finally, the distribution of the neutral pion fraction shows a significant broadening for the soft pions which grows steadily as the number of azimuthal segments is increased. All of these features are indicative of disoriented chiral condensates and it may be interesting to apply similar analyses to actual data from high-energy nuclear collision experiments.
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"abstract": "Using a semi-classical treatment of the linear sigma model, we simulate the\ndynamical evolution of an initially hot cylindrical rod endowed with a\nlongitudinal Bjorken scaling expansion (a ``Bjorken rod\u0027\u0027). The field equation\nis propagated until full decoupling has occurred and the asymptotic many-body\nstate of free pions is then obtained by a suitable Fourier decomposition of the\nfield and a subsequent stochastic determination of the number of quanta in each\nelementary mode. The resulting transverse pion spectrum exhibits visible\nenhancements below 200 MeV due to the parametric amplification caused by the\noscillatory relaxation of the chiral order parameter. Ensembles of such final\nstates are subjected to various event-by-event analyses. The factorial moments\nof the multiplicity distribution suggest that the soft pions are\nnon-statistical. Furthermore, their emission patterns exhibit azimuthal\ncorrelations that have a bearing on the domain size in the source. Finally, the\ndistribution of the neutral pion fraction shows a significant broadening for\nthe soft pions which grows steadily as the number of azimuthal segments is\nincreased. All of these features are indicative of disoriented chiral\ncondensates and it may be interesting to apply similar analyses to actual data\nfrom high-energy nuclear collision experiments.",
"arxiv_id": "nucl-th/9907051",
"authors": [
"Troels C. Petersen",
"Jorgen Randrup"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1103/PhysRevC.61.024906",
"journal_ref": "Phys.Rev.C61:024906,2000",
"title": "Dynamical simulation of DCC formation in Bjorken rods",
"url": "https://arxiv.org/abs/nucl-th/9907051"
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