Similarities in Multiparticle Production Processes in pp Collisions as Imprints of Nonextensive Statistics
Abstract
- (i)
- A Tsallis distribution successfully describes inclusive distributions of particles as well as jets produced in interactions. The nonextensivity parameter in the case of jets, , is comparable to describing inclusive distributions of transverse momenta of particles at the same energy 7 TeV.
- (ii)
- The values of q obtained in this case are roughly the same as those obtained from an analyzes of multiplicity distributions. In particular correspond to q values evaluated from ratio as shown in Figure 3.
- (iii)
- One observes a similarity of the corresponding nonextensivity parameters of multiplicity distributions and transverse momentum distributions in multiparticle production processes. Being confirmed, this strengthens the nonextensive Tsallis approach.
Author Contributions
Funding
Conflicts of Interest
References
- Michael, C.; Vanryckeghem, L. Consequences of Momentum Conservation for Particle Production at Large Transverse Momentum. J. Phys. G 1977, 3, L151. [Google Scholar] [CrossRef]
- Michael, C. Large Transverse Momentum and Large Mass Production in Hadronic Interactions. Prog. Part Nucl. Phys. 1979, 2, 1. [Google Scholar] [CrossRef]
- Arnison, G.; Astbury, A.; Aubert, B.; Bacci, C.; Bernabei, R.; Bezaguet, A.; Bock, R.; Bowcock, T.J.V.; Calvetti, M.; Carroll, T.; et al. Transverse momentum spectra for charged particles at the CERN proton-antiproton collider. Phys. Lett. B 1982, 118, 167. [Google Scholar] [CrossRef]
- Hagedorn, R. Multiplicities, pT Distributions and the Expected Hadron → Quark-Gluon Phase Transition. Riv. Nuovo Cimento. 1983, 6, 1. [Google Scholar] [CrossRef]
- Tsallis, C. Possible Generalization of Boltzmann-Gibbs Statistics. Stat. Phys. 1988, 52, 479. [Google Scholar] [CrossRef]
- Tsallis, C. Nonadditive entropy: The Concept and its use. Eur. Phys. J. A 2009, 40, 257. [Google Scholar] [CrossRef]
- Tsallis, C. Introduction to Nonextensive Statistical Mechanics; Springer: Berlin/Heidelberg, Germany, 2009. [Google Scholar]
- Wilk, G.; Włodarczyk, Z. Power laws in elementary and heavy-ion collisions: A Story of fluctuations and nonextensivity? Eur. Phys. J. A 2009, 40, 299. [Google Scholar] [CrossRef]
- Wilk, G.; Włodarczyk, Z. The Imprints of superstatistics in multiparticle production processes. Cent. Eur. J. Phys. 2012, 10, 568. [Google Scholar] [CrossRef]
- Wilk, G.; Włodarczyk, Z. Consequences of temperature fluctuations in observables measured in high energy collisions. Eur. Phys. J. A 2012, 48, 161. [Google Scholar] [CrossRef]
- Adams, J.; Aggarwal, M.M.; Ahammed, Z.; Amonett, J.; Anderson, B.D.; Arkhipkin, D.; Averichev, G.S.; Badyal, S.K.; Bai, Y.; Balewski, J.; et al. Strange particle production in p + p collisions at = 200 GeV. Phys. Rev. C 2007, 75, 064901. [Google Scholar]
- Adare, A.; Afanasiev, S.; Aidala, C.; Ajitanand, N.N.; Akiba, Y.; Al-Bataineh, H.; Alexander, J.; Aoki, K.; Aphecetche, L.; Armendariz, R.; et al. Measurement of neutral mesons in p + p collisions at = 200 GeV and scaling properties of hadron production. Phys. Rev. D 2011, 83, 052004. [Google Scholar] [CrossRef]
- Khachatryan, V.; Sirunyan, A.M.; Tumasyan, A.; Adam, W.; Bergauer, T.; Dragicevic, M.; Ero, J.; Friedl, M.; Fruhwirth, R.; Ghete, V.M.; et al. Observation of long-range, near-side angular correlations in proton-proton collisions at the LHC. JHEP 2010, 2, 41. [Google Scholar] [CrossRef]
- Khachatryan, V.; Sirunyan, A.M.; Tumasyan, A.; Adam, W.; Bergauer, T.; Dragicevic, M.; Ero, J.; Fabjan, C.; Friedl, M.; Fruhwirth, R.; et al. Transverse-Momentum and Pseudorapidity Distributions of Charged Hadrons in pp Collisions at = 7 Tev. Phys. Rev. Lett. 2010, 105, 022002. [Google Scholar] [CrossRef]
- Aamodt, K.; Abel, N.; Abeysekara, U.; Abrahantes Quintana, A.; Abramyan, A.; Adamova, D.; Aggarwal, M.M.; Aglieri Rinella, G.; Agocs, A.G.; Aguilar Salazar, S.; et al. Transverse momentum spectra of charged particles in proton-proton collisions at = 900 GeV with ALICE at the LHC. Phys. Lett. B 2010, 693, 53. [Google Scholar] [CrossRef]
- Aamodt, K.; Abrahantes Quintana, A.; Adamova, D.; Adare, A.M.; Aggarwal, M.M.; Aglieri Rinella, G.; Agocs, A.G.; Aguilar Salazar, S.; Ahammed, Z.; Ahmad, N.; et al. Strange particle production in proton-proton collisions at = 0.9 TeV with ALICE at the LHC. Eur. Phys. J. C 2011, 71, 1594–1655. [Google Scholar] [CrossRef]
- Aad, G.; Abat, E.; Abdallah, J.; Abdelalim, A.A.; Abdesselam, A.; Abdinov, O.; Abi, B.A.; Abolins, M.; Abramowicz, H.; Acerbi, E.; et al. Charged-particle multiplicities in pp interactions measured with the ATLAS detector at the LHC. New J. Phys. 2011, 13, 053033. [Google Scholar] [CrossRef]
- Shao, M.; Yi, L.; Tang, Z.; Chen, H.; Li, G.; Xu, Z. Examine the species and beam-energy dependence of particle spectra using Tsallis Statistics. J. Phys. G 2010, 37, 085104. [Google Scholar] [CrossRef]
- Cleymans, J.; Worku, D. The Tsallis Distribution in Proton-Proton Collisions at sqrt(s)= 0.9 TeV at the LHC. J. Phys. G 2012, 39, 025006. [Google Scholar] [CrossRef]
- Wong, C.Y.; Wilk, G. Tsallis Fits to pt Spectra for pp Collisions at LHC. Acta Phys. Pol. B 2012, 43, 2047. [Google Scholar] [CrossRef]
- Wong, C.Y.; Wilk, G. Tsallis fits to pT spectra and multiple hard scattering in pp collisions at the LHC. Phys. Rev. D 2013, 87, 114007. [Google Scholar] [CrossRef]
- Wong, C.-Y.; Wilk, G.; Cirto, L.J.L.; Tsallis, C. From QCD-based hard-scattering to nonextensive statistical mechanical descriptions of transverse momentum spectra in high-energy p p and p antip collisions. Phys. Rev. D 2015, 91, 114027. [Google Scholar] [CrossRef]
- Cirto, L.J.L.; Tsallis, C.; Wong, C.-Y.; Wilk, G. Possible Implication of a Single Nonextensive pT Distribution for Hadron Production in High-Energy pp Collisions. Eur. Phys. J. Web Conf. 2015, 90, 04002. [Google Scholar]
- Wilk, G.; Włodarczyk, Z. Self-similarity in jet events following from pp collisions at LHC. Phys. Lett. B 2013, 727, 163. [Google Scholar] [CrossRef]
- Rybczyński, M.; Włodarczyk, Z. Imprints of energy limitation in transverse momentum distributions of jets. Eur. Phys. J. A 2015, 51, 80. [Google Scholar] [CrossRef]
- Chatrchyan, S.; Khachatryan, V.; Sirunyan, A.M.; Tumasyan, A.; Adam, W.; Bergauer, T.; Dragicevic, M.; Ero, J.; Fabjan, C.; Friedl, M.; et al. Measurement of the Inclusive Jet Cross Section in pp Collisions at = 7 TeV. Phys. Rev. Lett. 2011, 107, 132001. [Google Scholar] [CrossRef]
- Aaltonen, T.; Adelman1, J.; Akimoto, T.; Albrow, M.G.; Alvarez Gonzalez, B.; Amerio, S.; Amidei, D.; Anastassov, A.; Annovi, A.; Antos, J.; et al. Measurement of the Inclusive Jet Cross Section at the Fermilab Tevatron p anti-p Collider Using a Cone-Based Jet Algorithm. Phys. Rev. D 2008, 78, 052006. [Google Scholar] [CrossRef]
- Abbott, B.; Abdesselam, A.; Abolins, M.; Abramov, V.; Acharya, B.S.; Adams, D.L.; Adams, M.; Alves, G.A.; Amos, N.; Anderson, E.W.; et al. Quasi-model-independent search for new physics at large transverse momentum. Phys. Rev. D 2001, 64, 032003. [Google Scholar] [CrossRef]
- Bagnaia, P.; Banner, M.; Battiston, R.; Bloch, P.; Borer, K.; Borghini, M.; Burger, J.; Chollet, J.-C.; Clark, A.G.; Conta, C.; et al. Measurement of Very Large Transverse Momentum Jet Production at the CERN anti-p p Collider. Phys. Lett. B 1984, 138, 430. [Google Scholar] [CrossRef]
- Bhattacharyya, S.; Haiduc, M.; Neagu, A.T.; Firu, E. A Comparative Study of K±/π± Ratio in Proton-Proton Collisions at Different Energies: Experimental Results versus Model Simulation. Adv. High Energy Phys. 2018, 2018, 6307205. [Google Scholar] [CrossRef]
- Adam, J.; Adamova, D.; Aggarwal, M.M.; Aglieri Rinella, G.; Agnello, M.; Agrawal, N.; Ahammed, Z.; Ahmed, I.; Ahn, S.U.; Aimo, I.; et al. Measurement of pion, kaon and proton production in proton–proton collisions at = 7 TeV. Eur. Phys. J. C 2015, 75, 226. [Google Scholar] [CrossRef]
- Cleymans, J.; Lykasov, G.I.; Parvan, A.S.; Sorin, A.S.; Teryaev, O.V.; Worku, D. Systematic properties of the Tsallis Distribution: Energy Dependence of Parameters in High-Energy p-p Collisions. Phys. Lett. B 2013, 723, 351–354. [Google Scholar] [CrossRef]
- Wibig, T. Non-extensivity Parameter of Thermodynamical Model of Hadronic Interactions at LHC energies. J. Phys. G 2010, 37, 115009. [Google Scholar] [CrossRef]
- Szwed, R.; Wrochna, G.; Wroblewski, A.K. Mystery of the Negative Binomial Distribution. Acta Phys. Polon. B 1988, 19, 763. [Google Scholar]
- Alexopoulos, T.; Anderson, E.W.; Biswas, N.N.; Bujak, A.; Carmony, D.D.; Erwin, A.R.; Gutay, L.J.; Hirsch, A.S.; Hojvat, C.; Kenney, V.P.; et al. The role of double parton collisions in soft hadron interactions. Phys. Lett. B 1998, 435, 453–457. [Google Scholar] [CrossRef]
- Kittel, W.; Wolf, E.A.D. Soft Multihadron Dynamics; World Scientific: Singapore, 2005. [Google Scholar]
- Fiete Grosse-Oetringhaus, J.F.; Reygers, K. Charged-Particle Multiplicity in Proton-Proton Collisions. J. Phys. G 2010, 37, 083001. [Google Scholar] [CrossRef]
- Wilk, G.; Włodarczyk, Z. Fluctuations, correlations and the nonextensivity. Physics A 2007, 376, 279–288. [Google Scholar] [CrossRef]
- Wilk, G.; Włodarczyk, Z. Generalized thermodynamic uncertainty relations. Physics A 2011, 390, 3566–3572. [Google Scholar] [CrossRef]
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Rybczynski, M.; Wlodarczyk, Z. Similarities in Multiparticle Production Processes in pp Collisions as Imprints of Nonextensive Statistics. Symmetry 2020, 12, 1339. https://doi.org/10.3390/sym12081339
Rybczynski M, Wlodarczyk Z. Similarities in Multiparticle Production Processes in pp Collisions as Imprints of Nonextensive Statistics. Symmetry. 2020; 12(8):1339. https://doi.org/10.3390/sym12081339
Chicago/Turabian StyleRybczynski, Maciej, and Zbigniew Wlodarczyk. 2020. "Similarities in Multiparticle Production Processes in pp Collisions as Imprints of Nonextensive Statistics" Symmetry 12, no. 8: 1339. https://doi.org/10.3390/sym12081339
APA StyleRybczynski, M., & Wlodarczyk, Z. (2020). Similarities in Multiparticle Production Processes in pp Collisions as Imprints of Nonextensive Statistics. Symmetry, 12(8), 1339. https://doi.org/10.3390/sym12081339