Optimization of asymmetry of Pb-Pb nucleus collision based on Glauber model simulation

Research Article
Open access

Optimization of asymmetry of Pb-Pb nucleus collision based on Glauber model simulation

Haotian Xu 1* , Junzhe Shi 2 , Ziyan Song 3
  • 1 University of Wisconsin–Madison    
  • 2 Wuhan Britain-China School    
  • 3 Guangdong Experimental High School    
  • *corresponding author hxu393@wisc.edu
Published on 26 December 2023 | https://doi.org/10.54254/2753-8818/28/20230428
TNS Vol.28
ISSN (Print): 2753-8826
ISSN (Online): 2753-8818
ISBN (Print): 978-1-83558-261-9
ISBN (Online): 978-1-83558-262-6

Abstract

Currently, researchers wanted to optimize the radiation by selecting certain asymmetry to produce high-energy particles in QGP collision. Our research utilized the Glauber-Monto-Carlo Model to simulate the collision and tried to find the domain of different independent variables to maximize the asymmetry of the cross-section. We have conducted relevant analysis and research on the principles of this model and generated relevant images using ROOT. The result shows that at the number level of 106, for the number of bins equals 10, we have (0.4, 0.5) for eccentricity in the second harmonic, (0.9, 1.0) for eccentricity in the third harmonic, (2.51, 3.14) for azimuthal angle difference, and (125, 166) for the number of participants, and, for number of bins equal to 20, (0.45, 0.50) for eccentricity in second harmonic, (0.95, 1.0) for eccentricity in the third harmonic, (2.82, 3.14) for azimuthal angle difference, and (146, 166) for the number of participants.

Keywords:

Glauber Dynamics, Monto-Carlo Method, Asymmetry, Nucleus Collision

Xu,H.;Shi,J.;Song,Z. (2023). Optimization of asymmetry of Pb-Pb nucleus collision based on Glauber model simulation. Theoretical and Natural Science,28,206-217.
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References

[1]. W. Pauli. (1957). Il Nuovo Cimento 6, 204 . doi:10.1007/BF02827771.

[2]. G. Luders (1957). Ann. Phys. 2, 1 . doi:10.1016/0003-4916(57)90032-5

[3]. P. D. C. King, T. D. Veal, P. H. Jefferson, J. Zúñiga Pérez, V. Muñoz Sanjosé, and C. F. McConville. (2009). Unification of the electrical behavior of defects, impurities, and surface states in semiconductors: Virtual gap states in CdO, Phys. Rev. B 79, 035203.

[4]. Bonetti, L., dos Santos Filho, L. R., Helayël-Neto, J. A., and Spallicci, A. D. A. M.. (2017). Effective photon mass by Super and Lorentz symmetry breaking, Phys. Lett. B 764, 203–206. arxiv:1607.08786

[5]. Glauber, R. J. (1963). Time‐dependent statistics of the Ising model. Journal of Mathematical Physics, 4(2), 294–307. https://doi.org/10.1063/1.1703954

[6]. M. S. Green. (1954). Markoff random processes and the statistical mechanics of time-dependent phenomena. II. Irreversible processes in fluids, J. Chem. Phys. 22, 398–413.

[7]. Arnold, P., Moore, G. D., & Yaffe, L. G. (2001). Photon emission from quark-gluon plasma: Complete leading order results. Journal of High Energy Physics, 009–009. https://doi.org/10.1088/1126-6708/2001/12/009

[8]. Sh. Shuzhe, K. Zhou, J. Zhao, S. Mukherjee, and Z P. huang. (2022). Heavy quark potential in the quark-gluon plasma: Deep neural network meets lattice quantum chromodynamics. Physical Review D, 105(1), 014017. doi:10.1103/PhysRevD.105.014017.

[9]. Alver, B., Baker, M., Loizides, C., & Steinberg, P. (2008). The phobos glauber monte Carlo. arXiv.org. https://arxiv.org/abs/0805.4411

[10]. D. Lafferty and A. Rothkopf. (2019). Quarkonium Phenomenology from a Generalized Gauss Law, Universe, 5(5), 119. doi:10.3390/universe5050119

Cite this article

Xu,H.;Shi,J.;Song,Z. (2023). Optimization of asymmetry of Pb-Pb nucleus collision based on Glauber model simulation. Theoretical and Natural Science,28,206-217.

Data availability

The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.

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About volume

Volume title: Proceedings of the 2023 International Conference on Mathematical Physics and Computational Simulation

ISBN：978-1-83558-261-9(Print) / 978-1-83558-262-6(Online)
Editor：Roman Bauer
Conference website: https://www.confmpcs.org/
Conference date: 12 August 2023
Series: Theoretical and Natural Science
Volume number: Vol.28
ISSN：2753-8818(Print) / 2753-8826(Online)

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References

[1]. W. Pauli. (1957). Il Nuovo Cimento 6, 204 . doi:10.1007/BF02827771.

[2]. G. Luders (1957). Ann. Phys. 2, 1 . doi:10.1016/0003-4916(57)90032-5

[3]. P. D. C. King, T. D. Veal, P. H. Jefferson, J. Zúñiga Pérez, V. Muñoz Sanjosé, and C. F. McConville. (2009). Unification of the electrical behavior of defects, impurities, and surface states in semiconductors: Virtual gap states in CdO, Phys. Rev. B 79, 035203.

[4]. Bonetti, L., dos Santos Filho, L. R., Helayël-Neto, J. A., and Spallicci, A. D. A. M.. (2017). Effective photon mass by Super and Lorentz symmetry breaking, Phys. Lett. B 764, 203–206. arxiv:1607.08786

[5]. Glauber, R. J. (1963). Time‐dependent statistics of the Ising model. Journal of Mathematical Physics, 4(2), 294–307. https://doi.org/10.1063/1.1703954

[6]. M. S. Green. (1954). Markoff random processes and the statistical mechanics of time-dependent phenomena. II. Irreversible processes in fluids, J. Chem. Phys. 22, 398–413.

[7]. Arnold, P., Moore, G. D., & Yaffe, L. G. (2001). Photon emission from quark-gluon plasma: Complete leading order results. Journal of High Energy Physics, 009–009. https://doi.org/10.1088/1126-6708/2001/12/009

[8]. Sh. Shuzhe, K. Zhou, J. Zhao, S. Mukherjee, and Z P. huang. (2022). Heavy quark potential in the quark-gluon plasma: Deep neural network meets lattice quantum chromodynamics. Physical Review D, 105(1), 014017. doi:10.1103/PhysRevD.105.014017.

[9]. Alver, B., Baker, M., Loizides, C., & Steinberg, P. (2008). The phobos glauber monte Carlo. arXiv.org. https://arxiv.org/abs/0805.4411

[10]. D. Lafferty and A. Rothkopf. (2019). Quarkonium Phenomenology from a Generalized Gauss Law, Universe, 5(5), 119. doi:10.3390/universe5050119

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