### Abstract

We consider a one-dimensional Feynman-Wilson "gas" as a statistical model for the multiparticle production in hadron-hadron collision. The Ginzburg-Landau probability functional introduced by Scalapino and Sugar not only gives a simple model of rapidity correlations but permits one to study the effect of phase transitions in the system. We show that in the constant field approximation, there is KNO scaling at very large energies. We also investigate the fluctuations around the mean field for T<T_{c} and T > T_{c}. When T≅T_{c}, there is a first-order phase transition and the probability distribution has KNO scaling. We argue that the onset of KNO scaling is an indication of a transition of a hadronic matter to a quark-gluon plasma. Finally we give predictions for the observable quantities such as multiplicities, moments and two-particle correlations.

Original language | English (US) |
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Pages (from-to) | 442-448 |

Number of pages | 7 |

Journal | Physics Letters B |

Volume | 189 |

Issue number | 4 |

DOIs | |

State | Published - May 14 1987 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physics Letters B*,

*189*(4), 442-448. https://doi.org/10.1016/0370-2693(87)90657-5

**KNO scaling as a phase transition of a Feynman-Wilson "gas".** / Carruthers, Peter; Sarcevic, Ina.

Research output: Contribution to journal › Article

*Physics Letters B*, vol. 189, no. 4, pp. 442-448. https://doi.org/10.1016/0370-2693(87)90657-5

}

TY - JOUR

T1 - KNO scaling as a phase transition of a Feynman-Wilson "gas"

AU - Carruthers, Peter

AU - Sarcevic, Ina

PY - 1987/5/14

Y1 - 1987/5/14

N2 - We consider a one-dimensional Feynman-Wilson "gas" as a statistical model for the multiparticle production in hadron-hadron collision. The Ginzburg-Landau probability functional introduced by Scalapino and Sugar not only gives a simple model of rapidity correlations but permits one to study the effect of phase transitions in the system. We show that in the constant field approximation, there is KNO scaling at very large energies. We also investigate the fluctuations around the mean field for T<Tc and T > Tc. When T≅Tc, there is a first-order phase transition and the probability distribution has KNO scaling. We argue that the onset of KNO scaling is an indication of a transition of a hadronic matter to a quark-gluon plasma. Finally we give predictions for the observable quantities such as multiplicities, moments and two-particle correlations.

AB - We consider a one-dimensional Feynman-Wilson "gas" as a statistical model for the multiparticle production in hadron-hadron collision. The Ginzburg-Landau probability functional introduced by Scalapino and Sugar not only gives a simple model of rapidity correlations but permits one to study the effect of phase transitions in the system. We show that in the constant field approximation, there is KNO scaling at very large energies. We also investigate the fluctuations around the mean field for T<Tc and T > Tc. When T≅Tc, there is a first-order phase transition and the probability distribution has KNO scaling. We argue that the onset of KNO scaling is an indication of a transition of a hadronic matter to a quark-gluon plasma. Finally we give predictions for the observable quantities such as multiplicities, moments and two-particle correlations.

UR - http://www.scopus.com/inward/record.url?scp=0000127987&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000127987&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(87)90657-5

DO - 10.1016/0370-2693(87)90657-5

M3 - Article

VL - 189

SP - 442

EP - 448

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 4

ER -