Abstract
The equation of state of hadron resonance gas at finite temperature and baryon density is calculated taking into account finite-size effects within the excluded-volume model. Contributions of known hadrons with masses up to 2 GeV are included in the zero-width approximation. Special attention is paid to the role of strange hadrons in the system with zero total strangeness. A density-dependent mean field is added to guarantee that the nuclear matter has a saturation point and a liquid-gas phase transition. The deconfined phase is described by the bag model with lowest order perturbative corrections. The phasetransition boundaries are found by using the Gibbs conditions with the strangeness neutrality constraint. The sensitivity of the phase diagram to the hadronic excluded volume and to the parametrization of the mean-field is investigated. The possibility of strangeness-antistrangeness separation in the mixed phase is analyzed. It is demonstrated that the peaks in the K/π and Λ/π excitation functions observed at low SPS energies can be explained by a nonmonotonous behavior of the strangeness fugacity along the chemical freeze-out line.
Similar content being viewed by others
References
F. Karsch, E. Laermann, and A. Peikert, Nucl. Phys. B 605, 579 (2001).
M. Gyulassy and L. McLerran, Nucl. Phys. A 750, 30 (2004).
P. de Forcrand and O. Philipsen, J. High Energy Phys. 0701, 077 (2007).
M. G. Alford, K. Rajagopal, and F. Wilczek, Phys. Lett. B 422, 247 (1998).
O. Scavenius, A. Mocsy, I. N. Mishustin, and D. H. Rischke, Phys. Rev. C 64, 045202 (2001).
I. C. Arsene, L. V. Bravina, W. Cassing, et al., Phys. Rev. C 75, 034902 (2007).
S. V. Afanasiev et al. (NA49 Collab.), Phys. Rev.C 66, 054902 (2002).
C. Alt et al. (NA49 Collab.), Phys. Rev. C 77, 024903 (2008).
I. N. Mishustin, L. M. Satarov, H. Stöcker, and W. Greiner, Phys. Rev. C 66, 015202 (2002).
U. Heinz, P. R. Subramanian, H. Stöcker, and W. Greiner, J. Phys. G 12, 1237 (1986).
J. D. Walecka, Ann. Phys. (N.Y.) 83, 491 (1974).
B. D. Serot and J. D. Walecka, Int. J. Mod. Phys. E 6, 515 (1997).
L. D. Landau and E. M. Lifshitz, Statistical Physics (Pergamon, Oxford, 1980).
R. Hageddorn and J. Rafelski, Phys. Lett. B 97, 136 (1980).
F. Karsch and H. Satz, Phys. Rev. D 21, 1168 (1980).
J. I. Kapusta, Phys. Rev. D 23, 2444 (1981).
D. H. Rischke, M. I. Gorenstein, H. Stöcker, and W. Greiner, Z. Phys. C 51, 485 (1991).
R. Venugopalan and M. Prakash, Nucl. Phys. A 546, 718 (1992).
G. D. Yen, M. I. Gorenstein, W. Greiner, and S. N. Yang, Phys. Rev. C 56, 2210 (1997).
S. Kagiyama, S. Kumamoto, A. Minaka, et al., Eur. Phys. J. C 25, 453 (2002).
S. Wheaton and J. Cleymans, hep-ph/0407174.
V. D. Toneev, E. G. Nikonov, B. Friman, et al., Eur. Phys. J. C 32, 399 (2004).
C. Greiner, P. Koch, and H. Stöcker, Phys. Rev. Lett. 58, 1825 (1987).
M. I. Gorenstein, M. Gaździcki, and W. Greiner, Phys. Rev. C 72, 024909 (2005).
H. W. Barz, B. L. Friman, J. Knoll, and H. Schulz, Phys. Rev. D 40, 157 (1989).
C. Amsler et al. (Particle Data Group), Phys. Lett. B 667, 1 (2008).
D. B. Kaplan and A. E. Nelson, Phys. Lett. B 175, 57 (1986).
J. Schaffner, A. Gal, I. N. Mishustin, et al., Phys. Lett. B 334, 268 (1994).
J. Schaffner, J. Bondorf, and I. N. Mishustin, Nucl. Phys. A 625, 325 (1997).
I. Zakout, W. Greiner, and H. R. Jaqaman, Nucl. Phys. A 759, 201 (2005).
J. Cleymans and H. Satz, Z. Phys. C 57, 135 (1993).
P. Braun-Munzinger and J. Stachel, Nucl. Phys. A 606, 320 (1996).
A. Andronic, P. Braun-Munzinger, and J. Stachel, Phys. Lett. B 673, 142 (2009).
L. Ahle et al. (E866/E917 Collab.), Phys. Lett. B 476, 1 (2000).
B. I. Abelev et al. (STAR Collab.), Phys. Rev. C 79, 034909 (2009).
F. Becattini, M. Gaździcki, A. Keränen, et al., Phys. Rev. C 69, 024905 (2004).
C. Pinkenburg et al. (E895 Collab.), Nucl. Phys. A 698, 495 (2002).
S. Albergo et al. (E896 Collab.), Phys. Rev. Lett. 88, 062301 (2002).
A. Andronic, P. Braun-Munzinger, and J. Stachel, Nucl. Phys. A 772, 167 (2006).
Yu. B. Ivanov, A. S. Khvorostukhin, E. E. Kolomeitsev, et al., Phys. Rev. C 72, 025804 (2005).
L. M. Satarov, I. N. Mishustin, A. V. Merdeev, and H. Stöcker,Phys. Rev. C 75, 024903 (2007).
L. M. Satarov, I. N. Mishustin, A. V. Merdeev, and H. Stöcker, Yad. Fiz. 70, 1822 (2007) [Phys. At. Nucl. 70, 1797 (2007)].
D. Teaney, J. Lauret, and E. V. Shuryak, Phys. Rev. Lett. 86, 4783 (2001).
L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon, Oxford, 1987).
I. N. Mishustin, L. M. Satarov, H. Stöcker, and W. Greiner, Yad. Fiz. 64, 866 (2001) [Phys. At. Nucl. 64, 802 (2001)].
J. Cleymans and K. Redlich, Phys. Rev. Lett. 81, 5284 (1998).
K. Paech, M. Reiter, A. Dumitru, et al., Nucl. Phys. A 681, 41 (2001).
W. Trautmann, Nucl. Phys. A 752, 407 (2005).
T. H. R. Skyrme, Phil. Mag. 1, 1043 (1956); Nucl. Phys. 9, 615 (1959).
G. Sauer, H. Chandra, and U. Mosel, Nucl. Phys. A 264, 221 (1976).
J. P. Bondorf, A. S. Botvina, A. S. Iljinov, I. N. Mishustin, and K. Sneppen, Phys. Rep. 257, 133 (1995).
J. Pochodzalla et al., Phys. Rev. Lett. 75, 1040 (1995).
P. Chomaz, M. Colonna, and J. Randrup, Phys. Rep. 389, 263 (2004).
I. N. Mishustin, Phys. Rev. Lett. 82, 4779 (1999).
G. Torrieri, B. Tomasik, and I. N. Mishustin, Phys. Rev. C 77, 034903 (2008).
S. A. Chin and A. K. Kerman, Phys. Rev. Lett. 43, 1292 (1979).
E. Farhi and R. L. Yaffe, Phys. Rev. D 30, 2379 (1984).
J. Schaffner, C. Greiner, and H. Stöcker, Phys. Rev. C 46, 322 (1992).
M. I. Gorenstein, A. P. Kostyuk, and Ya. D. Krivenko, J. Phys. G 25, L75 (1999).
Author information
Authors and Affiliations
Corresponding author
Additional information
The text was submitted by the authors in English.
Rights and permissions
About this article
Cite this article
Satarov, L.M., Dmitriev, M.N. & Mishustin, I.N. Equation of state of hadron resonance gas and the phase diagram of strongly interacting matter. Phys. Atom. Nuclei 72, 1390–1415 (2009). https://doi.org/10.1134/S1063778809080146
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063778809080146