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PPT - DThPh

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PPT - DThPh
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
[email protected]
HADRON STRUCTURE '13
30 June — 4 July, 2013
Hotel SOREA Hutník, Tatranské Matliare, Slovak
Republic
1
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.
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.
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2
A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic .
I + II  1 + ...
More than one nucleon of
nucleus I takes part in the
interaction (A.M.Baldin)
The value NI = AI , the
effective number of nucleons
inside nucleus I participating
in the collisions, is called the
cumulative number
0  N I  AI
Cumulative region  NI > 1
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3
A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic .
I + II  1 + ...
PI =m0uI
p1 =m1u1
PII=m0uII
2

(NIPI + NIIPII - p1) =
2
=(NIm0 +NIIm0 + )
is the mass of the particle
providing conservation of the
strangeness and
barion number, strangness
baryon
other quantum numbers
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4
A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic .
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 √(uI NI + uIINII)2],
where NI and NII are cumulative numbers for nuclei I and II, and uI and uII are 4velocities 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.
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5
A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic .
In this case the invariant cross-sections of the output inclusive particles of
different types at nucleus interactions with atomic numbers AI and AII, are
described by universal dependence in a broad energy range and different atomic
numbers of colliding nuclei:
Ed3/dp3 = C1AI(NI) AII(NII) exp (-П/C2),
where (NI ) = 1/3 + NI /3, (NII ) = 1/3 + NII /3,
С1 = 1.9∙104mb GeV-2с3st-1 и С2 = 0.1250,002
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6
A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic .
The experimental data on cumulative pion production were obtained at the ITEP and
IHEP accelerators in dependence on similarity parameter
are normed on A dependences.
п. The experimental data
A.M.Baldin, A.A.Baldin. Phys. Particles and Nuclei, v.29, No.3 (1998) p.232.
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7
A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic .
A.M.Baldin, A.A.Baldin. Phys. Particles and Nuclei, v.29, No.3 (1998) p.232.
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8
A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic .
A.M.Baldin, A.A.Baldin. Phys. Particles and Nuclei, v.29, No.3 (1998) p.232.
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9
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 .
Baldin A.M., Malakhov A.I.
JINR Rapid Communications,
No.1(87)-98, 1998, pp.5-12.
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11
A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic .
PREDICTIONS
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12
A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic .
Asymptotics
s/(2mImII)  (uIuII) = ch2Y  
Пmin= (mT/2m0)[1+ √1+(2-m12)/mT2
N  0
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13
A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic .
The analytical representation for П leads to the
following conclusions:
There is the limit value of П at high energies
The ratio of particle to antiparticle and nucleus to
antinucleus production cross-section goes to the unit
while energy rising
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
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14
A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic .
For baryon
For
antibaryon
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15
A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic .
(Antibaryon/baryon)
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16
A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic .
Nuclear Physics A 859(2011) 63-72.
http://hepdata.cedar.ac.uk/view/p7907.
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17
A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic .
Nuclear Physics A610 (1996) 306c-316c (SPS, NA52).
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18
A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic .
RHIC, √S = 200 GeV
G.Ambrosini et al. arXiv:nucl-ex/0011016v1 22 Nov 2000.
L.Xue et al. arXiv:1206.4780v1 [nucl-th] 21 Jun 2012.
Physical Review C 85 (2012) 044913 (SPS, NA49). SPS, √S = 7,3 GeV
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19
A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic .
B.Hippolyte. XXXVIII Rencontres de Moriond – Les Arcs-03/26/03
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20
A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic .
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21
A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic .
Experiment:
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22
A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic .
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, 044904 (1999); E866 and E917 Collaboration,
Phys. Lett. B 476, 1 (2000); 490, 53 (2000); J.Barrette et al., E877 Collaboration, Phys. Rev. C 62, 024901 (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,
054902, 2002
[3] K. Adcox et al., PHENIX Collaboration, Phys. Rev. Lett. 88, 242301 (2002); B. B. Back et al., PHOBOS Collaboration, ibid. 87,
102301 (2001).
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23
A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic .
__________________________________________________________________________________________
A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic .
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25
A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic .
Sqrt S
(GeV)
Y
PT
mT
GeV/c) (GeV/c2)
K-/K+
Exper.
Err.
Stat.
K-/K+
Calc.
3.3
1.25
0.4
0.635
0.07
0.01
0.069
3.8
1.39
0.65
0.816
0.12
0.01
0.115
4.3
1.52
0.8
0.940
0,16
0.01
0.159
4.9
1.65
0.82
0.957
0.19
0.01
0.197
8,8
2.24
1.0
1,11
0,37
0,03
0.366
9,2
2.28
1.1
1,20
0.38
0.03
0,387
12,3
2.57
1.3
1.39
0.47
0.035
0,472
17,3
2.91
1.8
1.86
0.57
0.04
0.581
17,3
2.91
1.8
1.86
0.59
0,03
0.581
17,3
2.91
1.8
1.86
0.57
0.03
0.581
31,0
3.5
3.0
3.04
62,4
4.19
6.0
6.02
0.85
0.01
0.854
130
4,93
9.0
9.01
0.92
0.08
0.914
200
5,37
11.0
11.01
0.94
0.01
0.936
0.731
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26
A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic .
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27
A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic .
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28
A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic .
Exper.: J.Adams et al. arXiv:nucl-ex/0211024v2 15 Jul 2003
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29
A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic .
S.V.Afanasiev et al. Phys. Rev. C 66, 054902 (2002)
(SPS, NA49)
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30
A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic .
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31
A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic .
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 РТ dependence of the
particle production need to have
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32
A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic .
Thank you for the attention!
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33
A.Malakhov, HADRON STRUCTURE '13, 30 June-4 July, 2013, Tatranské Matliare, Slovak Republic .
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