Abstract
Following the basic prescriptions of the relativistic Tsallis’ non-extensive thermostatistics, we investigate from a phenomenological point of view the relevance of non-extensive statistical effects on relativistic heavy-ion collisions observables, such as rapidity spectra of the net proton production, transverse momentum distributions and transverse momentum fluctuations. Moreover, we study the nuclear and the subnuclear equation of state, investigating the critical densities of a phase transition to a hadron-quark-gluon mixed phase by requiring the Gibbs conditions on the global conservation of the electric and the baryon charges. The relevance of small deviations from the standard extensive statistics is studied in the context of intermediate- and high-energy heavy-ion collisions.
Similar content being viewed by others
References
R.C. Hwa, X.N. Wang, Quark Gluon Plasma 3 (World Scientific, 2004).
T.S. Biró, J. Phys. G: Nucl. Part. Phys. 35, 044056 (2008).
S. Ichimaru, Rev. Mod. Phys. 54, 1017 (1982).
W.M. Alberico, A. Lavagno, P. Quarati, Eur. Phys. J. C 12, 499 (2000)
A. Peshier, W. Cassing, Phys. Rev. Lett. 94, 172301 (2005).
M.H. Thoma, J. Phys. G 31, L7 (2005).
C. Tsallis, J. Stat. Phys. 52, 479 (1988)
C. Tsallis, R.S. Mendes, A.R. Plastino, Physica A 261, 534 (1998).
M. Gell-Mann, C. Tsallis (Editors), Non-extensive Entropy: Interdisciplinary Applications (Oxford University Press, 2004).
G. Wilk, Z. Włodarczyk, Phys. Rev. Lett. 84, 2770 (2000)
G. Kaniadakis, A. Lavagno, P. Quarati, Phys. Lett. B 369, 308 (1996)
D.B. Walton, J. Rafelski, Phys. Rev. Lett. 84, 31 (2000).
I. Bediaga, E.M.F. Curado, J.M. de Miranda, Physica A 286, 156 (2000).
C. Beck, Physica A 286, 164 (2000)
T.S. Biró, G. Purcsel, Phys. Rev. Lett. 95, 162302 (2005).
T.S. Biró, B. Müller, Phys. Lett. B 578, 78 (2004)
T.S. Biró, G. Purcsel, Phys. Lett. A 372, 1174 (2008).
N. Biyajima, M. Kaneyama, T. Mizoguchi, G. Wilk, Eur. Phys. J. C 40, 243 (2005)
T. Osada, G. Wilk, Phys. Rev. C 77, 044903 (2008).
A. Lavagno, Physica A 305, 238 (2002).
A. Lavagno, Phys. Lett. A 301, 13 (2002).
S.R. Groot, W.A. van Leeuwen, Ch.G. van Weert, Relativistic Kinetic Theory (North-Holland, Amsterdam, 1980).
See, for example, C.R. Allton, S. Ejiri, S.J. Hands, O. Kaczmarek, F. Karsch, E. Laermann, C. Schmidt, Phys. Rev. D 68, 014507 (2003).
U. Tirnakli, F. Büyükkiliç, D. Demirhan, Phys. Lett. A 245, 62 (1998).
BRAHMS Collaboration (I.G. Bearden), Phys. Rev. Lett. 93, 102301 (2004).
NA49 Collaboration (H. Appelshäuser), Phys. Rev. Lett. 82, 2471 (1999).
E802 Collaboration (L. Ahle), Phys. Rev. C 60, 064901 (1999)
M. Biyajima, Prog. Theor. Phys. Suppl. 153, 344 (2004).
T. Csörgö, S. Hegyi, W.A. Zajc, Eur. Phys. J. C 36, 67 (2004).
G. Wolschin, Phys. Rev. C 69, 024906 (2004)
R. Kuiper, G. Wolschin, Ann. Phys. (Leipzig) 16, 67 (2007).
G. Wolschin, M. Biyajima, T. Mizoguchi, Eur. Phys. J. A 36, 111 (2008)
W.M. Alberico, P. Czerski, A. Lavagno, M. Nardi, V. Somá, Physica A 387, 467 (2008).
C. Tsallis, D.J. Bukman, Phys. Rev. E 54, R2197 (1996).
R. Metzler, J. Klafter, Phys. Rep. 339, 1 (2000).
E.K. Lenzi, R.S. Mendes, C. Tsallis, Phys. Rev. E 67, 031104 (2003).
T. Csörgö, M. Csanád, M. Nagy, Braz. J. Phys. 37, issue no. 3A, 1002 (2007).
NA44 Collaboration (I.G. Bearden), Phys. Rev. Lett. 78, 2080 (1997).
WA98 Collaboration (M.M. Aggarwal), Eur. Phys. J. C 23, 225 (2002).
PHENIX Collaboration (S.S. Adler), Phys. Rev. Lett. 91, 072301 (2003)
NA35 Collaboration (T. Alber), Eur. Phys. J. C 2, 643 (1998).
M. Gaździcki, St. Mrówczyński, Z. Phys. C 54, 127 (1992).
St. Mrówczyński, Phys. Lett. B 439, 6 (1998).
NA49 Collaboration (A. Appelshäuser), Phys. Lett. B 467, 21 (1999).
O.V. Utyuzh, G. Wilk, Z. Włodarczyk, Phys. Rev. C 64, 027901 (2001).
M. Rybczyński, Z. Włodarczyk, G. Wilk, Acta Phys. Pol. B 35, 819 (2004).
H. Stoecker, Nucl. Phys. A 750, 121 (2005)
L. Bonanno, A. Drago, A. Lavagno, Phys. Rev. Lett. 99, 242301 (2007).
V.N. Russkikh, Y.B. Ivanov, Phys. Rev. C 74, 034904 (2006).
M. Di Toro, A. Drago, T. Gaitanos, V. Greco, A. Lavagno, Nucl. Phys. A 775, 102 (2006)
A. Drago, A. Lavagno, P. Quarati, Physica A 344, 472 (2004).
F.I.M. Pereira, R. Silva, J.S. Alcaniz, Phys. Rev. C 76, 015201 (2007).
P. Senger, J. Phys. G 30, S1087 (2004).
N.K. Glendenning, S.A. Moszkowski, Phys. Rev. Lett. 67, 2414 (1991).
GSI, Scientific Report 2007 and GSI Proposal for an International Accelerator Facility for Research with Ions and Antiprotons.
A. Chodos, Phys. Rev. D 9, 3471 (1974).
G. Ferini, M. Colonna, T. Gaitanos, M. Di Toro, Nucl. Phys. A 762, 147 (2005).
C. Fuchs, Prog. Part. Nucl. Phys. 56, 1 (2006).
A. Teweldeberhan, H.G. Miller, R. Tegen, Int. J. Mod. Phys. E 12, 395 (2003).
N.K. Glendenning, Phys. Rev. D 46, 1274 (1992).
H. Müller, B.D. Serot, Phys. Rev. C 52, 2072 (1995).
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by U.-G. Meißner
This paper is part of the Topical Issue Statistical Power Law Tails in High-Energy Phenomena.
Rights and permissions
About this article
Cite this article
Alberico, W.M., Lavagno, A. Non-extensive statistical effects in high-energy collisions. Eur. Phys. J. A 40, 313 (2009). https://doi.org/10.1140/epja/i2009-10809-3
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epja/i2009-10809-3