Abstract
The transverse momentum distributions of final-state particles produced in collisions at energies available at the Large Hadron Collider (LHC) are studied by using the two-Boltzmann distribution and Tsallis statistics. Experimental distributions described by the two-Boltzmann distribution can be described by the Tsallis statistics. The two-temperature emission described by the two-Boltzmann distribution reflects temperature fluctuation of interacting system. The Tsallis statistics can describe the temperature fluctuation and the degree of non-equilibrium. The results calculated by the two-Boltzmann distribution and the Tsallis statistics are in agreement with the experimental data available at the LHC energies. In some cases, the two-Boltzmann distribution degenerates to (single) Boltzmann distribution.
Similar content being viewed by others
References
BRAHMS Collaboration (I.G. Bearden et al.), Phys. Lett. B 523, 227 (2001).
PHOBOS Collaboration (B.B. Back et al.), Phys. Rev. Lett. 87, 102303 (2001).
BRAHMS Collaboration (I.G. Bearden et al.), Phys. Rev. Lett. 88, 202301 (2002).
PHOBOS Collaboration (B.B. Back et al.), Phys. Rev. Lett. 91, 052303 (2003).
H. Hastrup, P. Zerwas (Editors), QCD 20 Years Later (World Scientific, Singapore, 1993).
J. Rafelski, B. Müller, Phys. Rev. Lett. 48, 1066 (1982).
P. Koch, B. Müller, J. Rafelski, Phys. Rep. 142, 167 (1986).
J.P. Blaizot, J. Phys. G 34, S243 (2007).
D. Lacroix, S. Ayik, P. Chomaz, Prog. Part. Nucl. Phys. 52, 497 (2004).
V.P. Konchakovski et al., Indian J. Phys. 85, 1 (2011).
For the PHENIX Collaboration (C.L. da Silva), Indian J. Phys. 85, 15 (2011).
A. Tawfik, Indian J. Phys. 85, 755 (2011).
M. Szuba, Indian J. Phys. 85, 1057 (2011).
A. Kaplan et al., Indian J. Phys. 85, 1615 (2011).
G. Devi et al., Indian J. Phys. 86, 77 (2012).
A. Tawfik, Indian J. Phys. 86, 641 (2012).
F.-H. Liu, Phys. Lett. B 583, 68 (2004).
F.-H. Liu, Phys. Rev. C 78, 014902 (2008).
F.-H. Liu, Nucl. Phys. A 810, 159 (2008).
For the ALICE Collaboration (M. Kowalski), Acta Phys. Pol. B 42, 859 (2011).
ALICE Collaboration (K. Aamodt et al.), Eur. Phys. J. C 71, 1594 (2011).
For the ALICE Collaboration (M. van Leeuwen), in Proceedings of the 2011 Hadron Collider Physics Symposium, Paris, France, November 14-18, 2011, arXiv:1201.5205 (2012).
For the ALICE Collaboration (M. Floris), J. Phys. G 38, 124025 (2011).
For the ALICE Collaboration (H. Appelshäuser), J. Phys. G 38, 124014 (2011).
For the ALICE Collaboration (R. Preghenella), Talk given at the 2011 Europhysics Conference on High Energy Physics, Grenoble, Rhône-Alpes, France, July 21-27, 2011, arXiv:1111.0763 (2011).
LHCb Collaboration (R. Aaij et al.), JHEP 02, 041 (2013).
LHCb Collaboration (R. Aaij et al.), JHEP 02, 072 (2014).
LHCb Collaboration (R. Aaij et al.), JHEP 06, 064 (2013).
C.-R. Meng, Chin. Phys. Lett. 26, 102501 (2009).
C. Tsallis, J. Stat. Phys. 52, 479 (1988).
G. Wilk, Z. Włodarczyk, in Proceedings of the 6th International Workshop on Relativistic Aspects of Nuclear Physics (RANP2000) (São Paulo, Brazil, October 17-20, 2000), edited by T. Kodama, C.E. Aguiar, H.-T. Elze, F. Grassi, Y. Hama, G. Krein (World Sciencetific, Singapore, 2001) pp. 78--96, arXiv:hep-ph/00111892v2 (2000). .
W.M. Alberico, P. Czerski, A. Lavagno, M. Nardi, V. Somá, Physica A 387, 467 (2008).
C. Tsallis, Braz. J. Phys. 39, 337 (2009).
G. Wilk, Z. Włodarczyk, Phys. Rev. C 79, 054903 (2009).
W.M. Alberico, A. Lavagno, Eur. Phys. J. A 40, 313 (2009).
J. Cleymans, D. Worku, Eur. Phys. J. A 48, 160 (2012).
C.-Y. Wong, G. Wilk, Phys. Rev. D 87, 114007 (2013).
J. Cleymans, G.I. Lykasov, A.S. Parvan, A.S. Sorin, O.V. Teryaev, D. Worku, Phys. Lett. B 723, 351 (2013).
A. Lavagno, Phys. Rev. C 81, 044909 (2010).
B.-C. Li, Y.-Z. Wang, F.-H. Liu, Phys. Lett. B 275, 352 (2013).
F.-H. Liu, Y.-H. Chen, H.-R. Wei, B.-C. Li, Adv. High Energy Phys. 2013, 965735 (2013).
E. Schnedermann, J. Sollfrank, U. Heinz, Phys. Rev. C 48, 2462 (1993).
H. Zhao, F.-H. Liu, Adv. High Energy Phys. 2014, 742193 (2014).
K. Urmossy, T.S. Biró, G.G. Barnaföldi, Z. Xu, arXiv:1405.3963 (2014).
T.S. Biró, G.G. Barnaföldi, P. Ván, K. Ürmössy, arXiv:1404.1256 (2014).
V.V. Begun, M. Gazdzicki, M.I. Gorenstein, Phys. Rev. C 78, 024904 (2008).
K. Urmossy, G.G. Barnaföldi, T.S. Biró, Phys. Lett. B 701, 111 (2011).
K. Urmossy, G.G. Barnaföldi, T.S. Biró, Phys. Lett. B 718, 125 (2012).
C. Tsallis, Eur. Phys. J. A 40, 257 (2009).
T.S. Biró, Eur. Phys. J. A 40, 255 (2009).
T.S. Biró, Physica A 300, 424 (2001).
C. Beck, Eur. Phys. J. A 40, 267 (2009).
T.S. Biró, G. Purcsel, K. Urmossy, Eur. Phys. J. A 40, 325 (2009).
T. Kodama, T. Koide, Eur. Phys. J. A 40, 289 (2009).
G. Wilk, Z. Włodarczyk, Eur. Phys. J. A 40, 299 (2009).
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by Xin-Nian Wang
Rights and permissions
About this article
Cite this article
Liu, FH., Gao, YQ. & Li, BC. Comparing two-Boltzmann distribution and Tsallis statistics of particle transverse momentums in collisions at LHC energies. Eur. Phys. J. A 50, 123 (2014). https://doi.org/10.1140/epja/i2014-14123-9
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1140/epja/i2014-14123-9