1 Antiparticle to Particle Ratios in Heavy Ion Interactions and Asymptotic Properties of the Nuclear Matter A. Malakhov Laboratory of High Energy Physics.

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Presentation transcript:

1 Antiparticle to Particle Ratios in Heavy Ion Interactions and Asymptotic Properties of the Nuclear Matter A. Malakhov Laboratory of High Energy Physics Joint Institute for Nuclear Research HADRON STRUCTURE '13 30 June — 4 July, 2013 Hotel SOREA Hutník, Tatranské Matliare, Slovak Republic

2 At present the corresponding experimental data have started to appear up to the LHC energy. In this talk I will give a comparison of predictions made many years ago with the latest experimental data. Some years ago together with A.M.Baldin we published an article which predicted the particle yield as a result of nuclei interactions at high energy. __________________________________________________________________________________________ A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic.

3

4 baryon strangeness __________________________________________________________________________________________ A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic.

5 Using the principle of symmetries, in particular, symmetries of the solutions, allowed A.M.Baldin to enter the self-similarity parameter of П for the nucleus interaction: П = min[½ √ (u I N I + u II N II ) 2 ], where N I and N II are cumulative numbers for nuclei I and II, and u I and u II are 4- velocities of these nuclei. A.M.Baldin, A.A.Baldin. Phys. Particles and Nuclei, v.29, No.3 (1998) p.232. A.M.Baldin, A.I.Malakhov, and A.N.Sissakian. Physics of Particles and Nuclei, Vol.32. Suppl. 1, 2001, pp.S4-S30. __________________________________________________________________________________________ A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic.

6 In this case the invariant cross-sections of the output inclusive particles of different types at nucleus interactions with atomic numbers A I and A II, are described by universal dependence in a broad energy range and different atomic numbers of colliding nuclei: Ed 3  /dp 3 = C 1 A I  (N I ) A II  (N II ) exp (-П/C 2 ), where  (N I ) = 1/3 + N I /3,  (N II ) = 1/3 + N II /3, С 1 = 1.9∙10 4 mb GeV -2 с 3 st -1 и С 2 =  0,002 __________________________________________________________________________________________ A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic.

7 A.M.Baldin, A.A.Baldin. Phys. Particles and Nuclei, v.29, No.3 (1998) p.232. The experimental data on cumulative pion production were obtained at the ITEP and IHEP accelerators in dependence on similarity parameter п. The experimental data are normed on A dependences. __________________________________________________________________________________________ A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic.

8 A.M.Baldin, A.A.Baldin. Phys. Particles and Nuclei, v.29, No.3 (1998) p.232. __________________________________________________________________________________________ A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic.

9 A.M.Baldin, A.A.Baldin. Phys. Particles and Nuclei, v.29, No.3 (1998) p.232. __________________________________________________________________________________________ A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic.

10 __________________________________________________________________________________________ A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic.

11 Baldin A.M., Malakhov A.I. JINR Rapid Communications, No.1(87)-98, 1998, pp __________________________________________________________________________________________ A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic.

12 PREDICTIONS __________________________________________________________________________________________ A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic.

13 Asymptotics s/(2m I m II )  (u I u II ) = ch2Y   П  min = (m T /2m 0 )[1+  √1+(  2 -m 1 2 )/m T 2 N   0 __________________________________________________________________________________________ A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic.

14 The analytical representation for П leads to the following conclusions: There is the limit value of П at high energies The effective number of nucleons involved in the reaction decreases with collision energy increasing Probability of observation of antinuclei and fragments in the central rapidity region is small The ratio of particle to antiparticle and nucleus to antinucleus production cross-section goes to the unit while energy rising __________________________________________________________________________________________ A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic.

15 For baryon For antibaryon __________________________________________________________________________________________ A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic.

16 (Antibaryon/baryon) __________________________________________________________________________________________ A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic.

17 Nuclear Physics A 859(2011) __________________________________________________________________________________________ A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic.

18 Nuclear Physics A610 (1996) 306c-316c (SPS, NA52). __________________________________________________________________________________________ A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic.

19 Physical Review C 85 (2012) (SPS, NA49). __________________________________________________________________________________________ A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic. G.Ambrosini et al. arXiv:nucl-ex/ v1 22 Nov L.Xue et al. arXiv: v1 [nucl-th] 21 Jun RHIC, √S = 200 GeV SPS, √S = 7,3 GeV

20 B.Hippolyte. XXXVIII Rencontres de Moriond – Les Arcs-03/26/03 __________________________________________________________________________________________ A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic.

21 __________________________________________________________________________________________ A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic.

22 __________________________________________________________________________________________ A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic. Experiment :

23 Energy dependence of the midrapidity K-/K+ ratio in central Pb+Pb (Au+Au) collision The ratio increases with srt (sNN) from about 0.15 at low AGS energy [1] to about 0.5 at SP S energies [2] and reaches about 0.9 at RHIC [3]. [1] L. Ahle et al., E802 Collaboration, Phys. Rev. C 57, 466 (1998); 58, 3523 (1998); 60, (1999); E866 and E917 Collaboration, Phys. Lett. B 476, 1 (2000); 490, 53 (2000); J.Barrette et al., E877 Collaboration, Phys. Rev. C 62, (2000); D. Pelte et al., FOPI Collaboration, Z. Phys. A 357, 215 (1997). [2] S. V. Afanasiev et al. Energy dependence of pion and kaon production in central Pb¿Pb collisions. PHYSICAL REVIEW C 66, , 2002 [3] K. Adcox et al., PHENIX Collaboration, Phys. Rev. Lett. 88, (2002); B. B. Back et al., PHOBOS Collaboration, ibid. 87, (2001). __________________________________________________________________________________________ A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic.

25 __________________________________________________________________________________________ A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic.

26 Sqrt S (GeV) YPT GeV/c) mT (GeV/c2) K-/K+ Exper. Err. Stat. K-/K+ Calc , , ,110,370, , , ,387 12, ,472 17, , , , , , , , __________________________________________________________________________________________ A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic.

27 __________________________________________________________________________________________ A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic.

28 __________________________________________________________________________________________ A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic.

29 Exper.: J.Adams et al. arXiv:nucl-ex/ v2 15 Jul 2003 __________________________________________________________________________________________ A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic.

30 __________________________________________________________________________________________ A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic. S.V.Afanasiev et al. Phys. Rev. C 66, (2002) (SPS, NA49)

31 __________________________________________________________________________________________ A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic.

32 Conclusions The description of the nuclear interactions in the four-velocity space and introduction of the self-similarity parameter allows one to predict the secondary particles production in a wide energy range from several GeV to the LHC energy with a good accuracy For a more detailed examination of this approach is required more accurate experimental data on production anti-nuclei and nuclei (anti-d, d, anti-He3, He3 and etc.) The more detail experimental data on the Р Т dependence of the particle production need to have __________________________________________________________________________________________ A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic.

33 Thank you for the attention! __________________________________________________________________________________________ A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic.