Centrality of the collision and random matrix theory

  • I discuss the results from a study of the central 12CC collisions at 4.2 A GeV/c. The data have been analyzed using a new method based on the Random Matrix Theory. The simulation data coming from the Ultra Relativistic Quantum Molecular Dynamics code were used in the analyses. I found that the behavior of the nearest neighbor spacing distribution for the protons, neutrons and neutral pions depends critically on the multiplicity of secondary particles for simulated data. I conclude that the obtained results offer the possibility of fixing the centrality using the critical values of the multiplicity.

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Z. Wazir. Centrality of the collision and random matrix theory[J]. Chinese Physics C, 2010, 34(10): 1593-1597. doi: 10.1088/1674-1137/34/10/008
Z. Wazir. Centrality of the collision and random matrix theory[J]. Chinese Physics C, 2010, 34(10): 1593-1597.  doi: 10.1088/1674-1137/34/10/008 shu
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Received: 2009-11-11
Revised: 2010-05-02
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Centrality of the collision and random matrix theory

    Corresponding author: Z. Wazir,
  • Department of Physics, COMSATS Institute of Information Technology, Islamabad, Pakistan

Abstract: 

I discuss the results from a study of the central 12CC collisions at 4.2 A GeV/c. The data have been analyzed using a new method based on the Random Matrix Theory. The simulation data coming from the Ultra Relativistic Quantum Molecular Dynamics code were used in the analyses. I found that the behavior of the nearest neighbor spacing distribution for the protons, neutrons and neutral pions depends critically on the multiplicity of secondary particles for simulated data. I conclude that the obtained results offer the possibility of fixing the centrality using the critical values of the multiplicity.

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