Centrality of the collision and random matrix theory

Z. Wazir

doi:10.1088/1674-1137/34/10/008

Chinese Physics C> 2010, Vol. 34> Issue(10) : 1593-1597 DOI: 10.1088/1674-1137/34/10/008

Centrality of the collision and random matrix theory

Z. Wazir ^,

Department of Physics, COMSATS Institute of Information Technology, Islamabad, Pakistan

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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.

References

[1]

Collins J C,Perry M J.Phys.Rev.Lett.,1975,34:1353[2] Kotuku A P,Gorenstein M I,Stcker H,Greiner W.Phys.Rev.C,2003,68:041902[3] Suleymanov M K et al.2007.ArXiv:0712.0062vl[nucl-ex][4] Mohanty B et al.Phys.Rev.C,2003,68:021901[5] Suleimanov M K et al.Phys.Rev.C,1998,58:351[6] Suleymanov M K et al.Nuclear Physics B(Proc.Suppl.),2008,177-178:341[7] Bass S A et al.Prog.Part.Nucl.Phys,1998,41:225[8] Bleicher M et al.J.Phys.G,1999,25:1859[9] Aichelin J.Phys.Rept.,1991,202:233[10] Aichelin J,Rosenhauer A,Peilert G,Stocker H,Greiner W.Phys.Rev.Lett.,1987,58:1926[11] Aichelin J,Stocker H.Phys.Lett.,B,1986,176:14[12] Peilert G et al.Phys.Rev.C,1989,39:1402[13] Andersson Bo,Gustafson G,Soderberg B.Z.Phys.C,1983,20:317[14] Field R D,Feynman R P.Phys.Rev.D,1977,15:2590[15] Field R D,Feynman R P.Nucl.Phys.B,1978,136:1[16] Mehta M L.Random Matrices Second ed.Academic,New York:1991[17] Porter C E.Statistical Theories of Spectra:Fluctuations,Academic,New York:1965[18] Cuhr T,Muller-Groeling A,Weidenmüller H.Phys.Rep.,1998,299:189[19] Bohigas O.Lecture Notes in Physics,1986,263:18(Springer-Verlag)[20] Mehta M L.Random Matrices Second ed.Academic,New York:1991[21] Wigner E P.Contribution to Conference on Neutron Physics by Time-of-Flight.Gatlinburg,Tennessee:1956

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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
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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Centrality of the collision and random matrix theory

Corresponding author: Z. Wazir,

Department of Physics, COMSATS Institute of Information Technology, Islamabad, Pakistan

Received Date: 2009-11-11

Accepted Date: 2010-05-02

Available Online: 2010-10-05

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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Centrality of the collision and random matrix theory

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