Theoretical and Natural Science
- The Open Access Proceedings Series for Conferences
Theoretical and Natural Science
Vol. 11, 17 November 2023
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The relationship between and eccentricities based on Glauber model
* Author to whom correspondence should be addressed.
Abstract
This report aims to determine the probability range of the number of collisions under the optimum collision condition. The optimum condition was obtained by determining the average values of the given variables in the Glauber Model. Graphs of against eccentricity 1, 2, and 3 (Ecc1, 2, and 3) were plotted respectively according to the data generated from the Glauber Model Simulation in CERN ROOT. Then, the optimum average value was plotted as a vertical line on the graph to determine the range of . The probability ratio of an optimum collision versus maximum probability in an event was concluded to fall in a certain range of 0.30 ± 0.07, and this range is verified to be a stable range that could be used for prediction of optimum collision numbers in future nuclei collision experiment. This probability ratio can be used to predict the optimum collision with only provided.
Keywords
Optimum Collision Condition, Eccentricity, Number Of Collisions.
References
1. Dumitru, A., & Nara, Y. (2012). Scaling of fluctuations in pp and pA collisions, and eccentricities in relativistic heavy-ion collisions. Physical Review C, 85(3), 034907.
2. Mehndiratta, A. Shukla, P. (2017). The Glauber model and heavy ion reaction and elastic scattering cross sections, Nuclear Physics A, vol. 961
3. Alver, B. Baker, and M. Loizides, C, Steinberg. (2008). The PHOBOS Glauber Monte Carlo
4. Alver, B. Black, B.B. et al (2018). The Importance of Correlations and Fluctuations on the Initial Source Eccentricity in High-Energy Nucleus–Nucleus Collisions
5. T. Hirano, M. Isse, Y. Nara, A. Ohnishi, and K. Yoshino, (2005) Phys. Rev. C72, 041901
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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- Volume Title
- Proceedings of the 2023 International Conference on Mathematical Physics and Computational Simulation
- ISBN (Print)
- 978-1-83558-133-9
- ISBN (Online)
- 978-1-83558-134-6
- Published Date
- 17 November 2023
- Series
- Theoretical and Natural Science
- ISSN (Print)
- 2753-8818
- ISSN (Online)
- 2753-8826
- DOI
- 10.54254/2753-8818/11/20230390
- Copyright
- 17 November 2023
- Open Access
- This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited