Particle Pt Correlations in Proton-Proton and Deuteron-Deuteron Interactions
Explore 2-particle Pt correlations in interactions at NICA/SPD, measuring kinematical properties and providing data for theoretical models' validation. Investigations focus on correlations in PP and DD interactions at 10 GeV, using Pythia and Geant4 FTF models. Discover more about Pt-Xf correlations in pp interactions and the nature of changes at different energy levels. Gain insights into lower energy scenarios without jet production. Find images, collaborations, and results related to particle correlations in various interactions.
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Towards studies of 2-particles Pt correlations in proton-proton and deuteron-deuteron interactions A. Galoyan and V. Uzhinsky, 28.06.2023 What can be measured at NICA/SPD? 1. Correlations of kinematical properties of particles: <Pt>-Xf; 2. 2-particle Pt correlations in PP-interactions at S = 10 GeV 3. 2-particle Pt correlations in DD-interactions at S = 10 GeV A one aim of experiment can be: Provide data for tuning and validation of theoretical models ( Pythia and Geant4 FTF) 1
<Pt> - Xf correlations in pp interactions, 158 and 400 GeV/c The NA49 Collaboration, Eur. Phys. J. C 45, 343 381 (2006), Pi-mesons The NA49 Collaboration, Eur. Phys. J. C (2010) 65: 9 63, P and Pbar The NA49 Collaboration, Eur. Phys. J. C (2010) 68: 1 73, K-mesons LEBC-EHS Collaboration, 400 GeV/c pp-interactions, Z. Phys. C50, 405 (1991) The nature of changes at transition from SqrtSnn from 17.3 27 GeV is unknown! 2
<Pt> - Xf correlations in pp interactions, 158 and 400 GeV/c The NA49 Collaboration, Eur. Phys. J. C 45, 343 381 (2006), Pi-mesons The NA49 Collaboration, Eur. Phys. J. C (2010) 65: 9 63, P and Pbar The NA49 Collaboration, Eur. Phys. J. C (2010) 68: 1 73, K-mesons LEBC-EHS Collaboration, 400 GeV/c pp-interactions, Z. Phys. C50, 405 (1991) Geant FTF model results at 158 (magenta), 400 (black) GeV/c lines 3
<Pt> - Xf correlations in pp interactions, 158 and 400 GeV/c The NA49 Collaboration, Eur. Phys. J. C 45, 343 381 (2006), Pi-mesons The NA49 Collaboration, Eur. Phys. J. C (2010) 65: 9 63, P and Pbar The NA49 Collaboration, Eur. Phys. J. C (2010) 68: 1 73, K-mesons LEBC-EHS Collaboration, 400 GeV/c pp-interactions, Z. Phys. C50, 405 (1991) Pythia 6.4 results at 158 (magenta) and 400 GeV/c (black) lines. 4
<Pt> - Xf correlations in pp interactions, 158 and 400 GeV/c The NA49 Collaboration, Eur. Phys. J. C 45, 343 381 (2006), Pi-mesons The NA49 Collaboration, Eur. Phys. J. C (2010) 65: 9 63, P and Pbar The NA49 Collaboration, Eur. Phys. J. C (2010) 68: 1 73, K-mesons LEBC-EHS Collaboration, 400 GeV/c pp-interactions, Z. Phys. C50, 405 (1991) HIJING model results at 158 and 400 GeV/c. 5
Towards Study of 2-Particle Pt Correlations PHYSICS REPORTS 107 (1984) 59 e+e- PHYSICS AT PETRA THE FIRSTFIVE YEARS, Sau Lan WU and DESY. Jets in High Energy Physics Two-particle correlation functions for beam (left) and thrust (right) axis analyses with offline multiplicity Noffline Trk 12. What to do at lower energies when jets are not produced? 6
2-Particle Pt Correlations There are 3 independent variables with accounting the azimuthal symmetry |PT,triger|, Px,track and Py, track The correlations are connected with Shwinger mechanism of particle production 7
Method of study 2 particles Pt-correlations 1. We selected events with production of hyperons, and calculated: Cos( _ ) = Px_ / Pt_ Sin( _ ) = Py_ / Pt_ 2. For these events we transformed Px and Py momenta of particles associated with hyperon in the new rotated coordinate system: Px = Px * Cos( _ ) + Py * Sin( _ ) Py = - Px * Sin( _ ) + Py * Cos( _ ) (It is obviously, that for hyperon Px =Pt; Py =0) 3. We performed analysis of transformed Px and Py 2 of particles produced with hyperons. 4. We calculated 1000000 proton-proton interactions at S=10 GeV using FTF and Pythia generators in SPDRoot 5. We calculated 1000000 deuteron-deuteron interactions at S=10 GeV using FTF in SPDRoot 8
Comparison of Px of protons and -bar hyperons associated with hyperon in PP- events calculated by FTF <Px _ > = 612 MeV/ , N_ = 47681 <Px _Pr> = -72 MeV/ , N_Pr = 33962 <Px _ bar> = -169 MeV/ , N_ bar = 1779 9
Px of particles associated with hyperons in PP-events calculated by FTF <Px _ > = 612 MeV/c <Px _K0> = -168 MeV/ , <Px _K+>=-151 MeV/ , <Px _K- > = -92 MeV/ <Px _ 0> = -39 MeV/ , <Px _ +>=-53 MeV/ <Px _ - > = -56 MeV/ 10
Correlations of mean Px of -bar hyperons, K and mesons with hyperon Px in PP-events calculated by FTF <Px _ bar> = -169 MeV/ <Px _K0> = -168 MeV/ <Px _ 0> = -39 MeV/ 11
Correlations of mean Py2of -bar hyperons, K and mesons with hyperon Px in PP-events calculated by FTF <Py 2 bar> = 140 (MeV/c)2 < Py 2 K0> = 115 (MeV/c)2 < Py 2 0> = 65 (MeV/c)2 12
Correlations of mean Px, Py2of -bar hyperons, K and mesons with hyperon Px in PP-events calculated by PYTHIA Mt scaling Nadine Fischer and Torbj rn Sj strand Thermodynamical String Fragmenta- tion JHEP 1701 (2017) 140 <Py 2 bar> = 193 (MeV/c)2<Py 2 K0> = 156 (MeV/c)2<Py 2 0> = 74 (MeV/c)2 13
Comparison of correlations of mean Px of -bar hyperons and K- mesons with hyperon Px in events calculated by PYTHIAandFTF FTF Where is truth? 14
Comparison of correlations of mean Py2of -bar hyperons and K- mesons with hyperon Px in events calculated by PYTHIA and FTF 15
Comparison of Px of protons and -bar hyperons associated with hyperon in DD- interactions in FTF model <Px _ > = 551.5 MeV/ , N_ =41183 <Px _Pr> = -72 MeV/ (PP) <Px _Pr> = -36 MeV/ , N_Pr = 61873 <Px _ bar> = -169 MeV/ (PP) <Px _ bar> = -175.8 MeV/ , N_ bar = 566 17
Px of particles associated with hyperons in DD-interactions calculated by FTF <Px _ > = 551.5 MeV/c <Px _K0> = -139 MeV/ , <Px _K+>=-142 MeV/ , <Px _K- > = -74 MeV/ <Px _K0> = -168 MeV/ , <Px _K+>=-151 MeV/ , <Px _K- > = -92 MeV/ (PP) <Px _ 0> = -34 MeV/ , <Px _ +>=-47 MeV/ , <Px _ - > = -34 MeV/ <Px _ 0> = -39 MeV/ , <Px _ +>=-53 MeV/ <Px _ - > = -56 MeV/ (PP) 18
Comparison of correlations of mean Px of -bar hyperons and K- and Pi-mesons with hyperon Px in DD-events and PP-events 19
Comparison of correlations of mean Py2of -bar hyperons and K- and Pi-mesons with hyperon Px in DD-events and PP-events 20
Summary 1. We observe strong 2-particle Pt correlations between strange particles in PP interactions according to Geant4 FTF model. 2. Event generators Pythia and Geant4 FTF give different predictions for these correlations. FTF model predicts stronger correlations between strange particles than Pythia model. 3. The correlations are connected with main assumptions of various string models used in Pythia and Geant4 FTF . 4. FTF predicts: a) correlations of mean Px of associated particles with hyperon Px in DD-events and PP-events are almost close! b) correlations of mean Py 2of associated particles with hyperon Px in DD-events less than in PP-interactions. Study of correlations allows tuning and calibration of the main simulation generators -- Pythia and Geant4, in high energy physics! 21
Px of particles associated with hyperons in PP- events calculated by Pythia We calculated 1000000 PP-events at S=10 GeV using Pythia in SPDRoot <Px _ > = 613 MeV/c, N_ =100281; <Px _ bar>=-80 MeV/c, N_ bar=2731 <Px _K0> = -83 MeV/c, <Px _K+>=-90 MeV/c, <Px _K- > = -91 MeV/c <Px _ 0> = -36 MeV/c, <Px _ +>=-55 MeV/c, <Px _ - > = -18 MeV/c 19
Comparison of correlations of mean Px and Py2 of -mesons with hyperon Px in events calculated byPYTHIA and FTF 16
Table of Numbers and Mean values of Px and Py2 of particles associated with -hyperon in PP-events at Ecmc = 10 GeV Gene- rator bar K+ K- K0 + - 0 FTF N 47681 N 1779 N 28759 N 3208 N 25783 N 104301 N 68512 N 106523 N N 2731 N 63347 N 8963 N 61316 N 288432 N 257750 N 312878 Pythia 100281 <Px> 612 <Px> -169 <Px> -151 <Px> -92 <Px> -168 <Px> -53 <Px> -56 <Px> -39 FTF <Px> 613 <Px> -80 <Px> -90 <Px> -91 <Px> -83 <Px> -55 <Px> -18 <Px> -36 Pythia <Py2> 0 <Py2> 140 <Py2> 117 <Py2> 111 <Py2> 115 <Py2> 73 <Py2> 73 <Py2> 65 FTF <Py2> 0 <Py2> 193 <Py2> 160 <Py2> 138 <Py2> 156 <Py2> 90 <Py2> 68 <Py2> 74 Pythia 24
