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  • Letter
  • Open Access

Percolation leads to finite-size effects on the transition temperature and center-of-mass energy required for quark-gluon plasma formation

J. C. Texca García1, D. Rosales Herrera1, J. E. Ramírez2,3,*, A. Fernández Téllez1, and C. Pajares4,†

  • 1Facultad de Ciencias Físico Matemáticas, Benemérita Universidad Autónoma de Puebla, Apartado Postal 165, 72000 Puebla, Puebla, Mexico
  • 2Centro de Agroecología, Instituto de Ciencias, Benemérita Universidad Autónoma de Puebla, Apartado Postal 165, 72000 Puebla, Puebla, Mexico
  • 3Consejo de Ciencia y Tecnología del Estado de Puebla, Privada B poniente de la 16 de Septiembre 4511, 72534 Puebla, Puebla, Mexico
  • 4Departamento de Física de Partículas and Instituto Galego de Física de Altas Enerxías, Universidad de Santiago de Compostela, E-15782 Santiago de Compostela, España

  • *jhony.ramirezcancino@viep.com.mx
  • †pajares@fpaxp1.usc.es
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Phys. Rev. D 106, L031503 – Published 25 August, 2022

DOI: https://doi.org/10.1103/PhysRevD.106.L031503

Abstract

We investigate the finite-size effects on the transition temperature associated with the quark-gluon plasma (QGP) formation. From a percolation perspective, the onset of the QGP in high-energy collisions occurs when the spanning cluster of color strings emerges. The principal result presented here is the finite-size effects on the transition temperature expressed as a power law in terms of the nucleon number. We found that the transition temperature is higher for small systems than for large ones. It means that minimal triggering conditions events in pp collisions require about 20 times higher energies than AuAu-PbPb collisions. We also estimate the center-of-mass energy required for the QGP formation as a function of the nucleon number. Our results are consistent with the minimal center-of-mass energies at which the QGP has been observed.

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Phys. Rev. D 106, L031503– Published 25 August, 2022
  • Received 25 February 2022
  • Accepted 4 August 2022
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