Central nucleus-nucleus collisions at relativistic energies with a new method based on Random Matrix Theory

  • Using the method based on Random Matrix Theory (RMT), the results for the nearest-neighbor distributions obtained from the experimental data on 12C-C collisions at
    4.2 AGeV/c have been discussed and compared with the simulated data on 12C-C collisions at 4.2 AGeV/c produced with the aid of the Dubna Cascade Model. The results show that the correlation of secondary particles decreases with an increasing number of charged particles Nch. These observed changes in the nearest-neighbor distributions of charged particles could be associated with the centrality variation of the collisions.

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  • [1] Aichelin J,Werner K.Phys.Rev.C,2009,79:064907[2] BRAHMS collaboration,Arsene I C,J.Phys.G:Nucl.Part.Phys.,2009,36:064004[3] PHENIX collaboration,Masui H.Eur.Phys.J.C,2009,62:169[4] Soltz R A,Newby R J,Klay J L,Heffner M,Beaulieu L,Lefort T,Kwiatkowski K,Viola V E.Phys.Rev.C,2009,79:034607[5] PHOBOS collaboration,Gburek T.J.Phys.G:Nucl.Part.Phys.,2008,35:104131[6] STAR collaboration,Masui H.J.Phys.G:Nucl.Part.Phys.,2009,36:064047[7] Shahaliev E I,Nazmitdinov R G,Kuznetsov A A,Syleimanov M K,Teryaev O V.Physics of Atomic Nuclei,2006,69:142[8] Brody T A,Flores J,French J B,Mello P A,Pandy A,Wong S S M.Rev.Mod.Phys.,1981,53:385[9] Mehta M L.Random Matrices Elsevier,Amsterdam,Third Edition.2004[10] Nazmitdinov R G,Shahaliev E I,Syleimanov M K,Tomsovic S.Phys.Rev.C,2009,70:054905[11] BBCDHSSTTU-BW collaboration,Balea O et al.Phys.Lett.,B,1972,39:571[12] Akhababian N et al.JINR Report,No.1-12114,Dubna 1979[13] BBCDHSSTTU-BW collaboration,Armutliiski D D et al.Yad.Fiz.,1987,45:1047[14] Agakishiyev H Net al.Zeit.für Physik C-Particles and Fields,1985,27:177[15] Barashenkov V S,Toneev V D.Interaction of High Energy Particles and Atomic Nuclei with Nuclei.Moscow,Atomizadt,1972[16] Gudima K K,Toneev V D.Physics Letters B,1978,73:293[17] Gudima K K,Iwe H,Toneev V D.Journal Physics G,1979,5:229[18] Gudima K K,Titov A I,Toneev V D.Physics Letters B,1992,287:302[19] Toneev V D,Gudima K K.Nuclear Physics A,1983,400:173c[20] Toneev V D,Gudima K K.Particle Production in HeavyIon Collisions at Intermediate Energies.GSI,Darmstadt,1993.52[21] Mashnik S G.In:Proceedings of a Specialists Meeting Intermediate Energy Nuclear Data:Models and Codes.Paris,1994.107[22] Blann M B,Gruppelaar H,Nagel P,Rodens J.International Code Comparison for Intermediate Energy Nuclear Data.NEA,OECD,Paris,1994[23] Barashenkov V S,Zheregy F G,Musulmanbekov Zh.Zh.Preprint JINR P2-83-117,Dubna,1983[24] Weidenmüller H A,Mitchell G E.Rev.Mod.Phys,2009,81:539
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R. G. Nazmitdinov, E. I. Shahaliev and M. K. Suleymanov. Central nucleus-nucleus collisions at relativistic energies with a new method based on Random Matrix Theory[J]. Chinese Physics C, 2010, 34(8): 1076-1081. doi: 10.1088/1674-1137/34/8/007
R. G. Nazmitdinov, E. I. Shahaliev and M. K. Suleymanov. Central nucleus-nucleus collisions at relativistic energies with a new method based on Random Matrix Theory[J]. Chinese Physics C, 2010, 34(8): 1076-1081.  doi: 10.1088/1674-1137/34/8/007 shu
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Received: 2009-11-20
Revised: 2010-02-02
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Central nucleus-nucleus collisions at relativistic energies with a new method based on Random Matrix Theory

Abstract: 

Using the method based on Random Matrix Theory (RMT), the results for the nearest-neighbor distributions obtained from the experimental data on 12C-C collisions at
4.2 AGeV/c have been discussed and compared with the simulated data on 12C-C collisions at 4.2 AGeV/c produced with the aid of the Dubna Cascade Model. The results show that the correlation of secondary particles decreases with an increasing number of charged particles Nch. These observed changes in the nearest-neighbor distributions of charged particles could be associated with the centrality variation of the collisions.

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