Download pdf
Exploring the effect of eccentricity on geometry nuclear collisions by Glauber Monte Carlo simulation
- 1 University of Liverpool
- 2 Beijing No.4 High School International Campus
- 3 Dalian University of Technology
- 4 Wuhan Britain-China School
* Author to whom correspondence should be addressed.
Abstract
This paper will analyze different properties of a nuclear collision and their correlation with the geometry of collision using the Glauber Monte-Carlo based calculations. Among all properties, the eccentricity is the main focus of this research. In order to investigate its impact on collision parameters, three-dimensional histograms are created, using given collision parameters, under different categories of numbers of participant nucleons. Comparisons between the histograms allow the exploration of connections between this property and the geometries of lead nuclear collisions, namely, the ellipticity of the collision of the two lead nuclei as eccentricity increases from 0 to 1. Our result is intuitive. The ellipticity of the collision has a positive correlation with the eccentricity, as when the difference between the number of participant nucleons on the L1 and L2 axes increases with eccentricity. The number of nucleons participating in the collision also increases with eccentricity. These are all coherent with past studies conducted in this field.
Keywords
Glauber Monte-Carlo Model, ε_2, Quark-Gluon Plasma, High-Energy Nuclear Collisions
[1]. Busza, W., Rajagopal, K. and Wilk, V.D.S, W. (2018) Heavy ion collisions: the big picture and the big questions. Annual Review of Nuclear and Particle Science, 68(1): 339–376. https://doi.org/10.1146/annurev-nucl-101917-020852.
[2]. Science, O.O. (2019) Shape matters in nuclear physics collisions. https://science.osti.gov/np/Highlights/2016/NP-2016-02-c.
[3]. Shen, C. (2021) Studying QGP with flow: A theory overview. https://doi.org/10.1016/j.nuclphysa.2020.121788.
[4]. Miller, M.L. et al. (2007) Glauber Modeling in High-Energy nuclear collisions. Annual Review of Nuclear and Particle Science, 57(1): 205–243. https://doi.org/10.1146/annurev.nucl.57.090506.123020.
[5]. Alver, B. et al. (2007) System size, energy, pseudorapidity, and centrality dependence of elliptic flow, Physical Review Letters, 98(24). https://doi.org/10.1103/physrevlett.98.242302
[6]. Dimri, A., Bhatta, S. and Jia, J. (2023) Impact of nuclear shape fluctuations in high-energy heavy ion collisions. The European Physical Journal A, 59(3). https://doi.org/10.1140/epja/s10050-023-00965-1.
[7]. Alver, B. and Roland, G. (2010) Collision-geometry Fluctuations and Triangular Flow in Heavy-ion Collisions. Physical Review, 81(5). https://doi.org/10.1103/physrevc.81.054905.
[8]. Giacalone, G., Jia, J. and Zhang, C. (2021) Impact of Nuclear Deformation on Relativistic Heavy-Ion Collisions: Assessing Consistency in Nuclear Physics across Energy Scales. Physical Review Letters, 127(24). https://doi.org/10.1103/physrevlett.127.242301.
[9]. Loizides, C., Nagle, J.L. and Steinberg, P. (2015) Improved version of the PHOBOS Glauber Monte Carlo. SoftwareX, 1–2: 13–18. https://doi.org/10.1016/j.softx.2015.05.001.
[10]. Caiati, A. (2018) Glauber Model Monte Carlo Simulation of Pb+Pb Collisions. https://london.ucdavis.edu/~reu/REU18/Papers/caiati.pdf
[11]. Wang, J. et al. (2020) Using the Optical Glauber Monte Carlo Model to Calculate RAA Related Results Produced by the ATLAS Collaboration. Natural Science, 12(03): 65–73. https://doi.org/10.4236/ns.2020.123010.
Cite this article
Liu,Y.;Liu,Y.;Liu,Z.;Ding,X. (2024). Exploring the effect of eccentricity on geometry nuclear collisions by Glauber Monte Carlo simulation. Theoretical and Natural Science,43,21-25.
Data availability
The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.
Disclaimer/Publisher's Note
The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of EWA Publishing and/or the editor(s). EWA Publishing and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content.
About volume
Volume title: Proceedings of the 3rd International Conference on Computing Innovation and Applied Physics
© 2024 by the author(s). Licensee EWA Publishing, Oxford, UK. This article is an open access article distributed under the terms and
conditions of the Creative Commons Attribution (CC BY) license. Authors who
publish this series agree to the following terms:
1. Authors retain copyright and grant the series right of first publication with the work simultaneously licensed under a Creative Commons
Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this
series.
2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the series's published
version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial
publication in this series.
3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and
during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See
Open access policy for details).