Abstract
We find the equation of state p, ρ ∫ T 6,which gives the value of the sound velocity c 27 = 0.20,in agreement with the “realistic” equation of state for hot hadronic matter suggested by Shuryak, in the framework of a covariant relativistic statistical mechanics of an event-anti-event system with small chemical and mass potentials. The relativistic mass distribution for such a system is obtained and shown to be a good candidate for fitting hadronic resonances, in agreement with the phenomenological models of Hagedorn, Shuryak, et al. This distribution provides a correction to the value of specific heat 3/2,of the order of 5.5%,at low temperatures.
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References
E. V. Shuryak,Phys. Rep. 61, 72 (1980).
R. D. Pisarsky, D. J. Gross, and L. G. Yaffe,Rev. Mod. Phys. 53, 43 (1981).
B. Müller,The Physics of the Quark-Gluon Plasma (Springer, Berlin, 1985).
E. V. Shuryak,The QCD Vacuum, Hadrons and the Superdense Matter (World Scientific., Singapore, 1988).
J. Cleymans, R. V. Gavai, and E. Suhonen,Phys. Rep. 130, 217 (1986).
L. D. Landau, Izv.Akad. Nauk SSSR, Ser. Fiz. 17, 51 (1953).
G. A. Milekhin,Sov. Phys. JETP 8, 829 (1959).
E. V. Shuryak,Sov. J. Nucl. Phys. 16, 220 (1973).
R. Hagedorn,Nuovo Cimento 35, 216 (1965);Suppl. Nuovo Cimento 3, 147 (1965);6, 311 (1968).
S. C. Frautschi,Phys. Rev. D 3, 2821 (1971).
O. V. Zhirov and E. V. Shuryak,Sov. J. Nucl. Phys. 21, 443 (1975).
E. V. Shuryak,Phys. Rev. D 42, 1764 (1990).
E. V. Shuryak,Nucl. Phys. A 522, 377c (1991);533, 761 (1991).
E. V. Shuryak,Nucl. Phys. A 536, 739 (1992).
S. Weinberg,Phys. Rev. Lett. 17, 616 (1966).
P. Gerber and H. Leutwyler,Nucl. Phys. B 321, 387 (1989).
S. Z. Belenky and L. D. Landau,Sov. Phys. Uspekhi 62, 1 (1956).
E. Beth and G. E. Uhlenbeck,Physica 3, 729 (1936).
L. D. Landau and E. M. Lifshitz,Statistical Physics, Part 1 (Pergamon, Oxford, 1986), p. 236.
R. D. Carlitz,Phys. Rev. D 5, 3231 (1972).
G. A. Milekhin, inProc. of the International Conference on Cosmic Rays (Nauka, Moscow, 1960).
S. Sohlo and G. Wilk,Lett. Nuovo Cimento 13, 375 (1975).
M. I. Gorensteinet al., Phys. Lett. B 60, 283 (1976).
B. Andersonet al., Nucl. Phys. B 112, 413 (1976).
A. Schnabel and J. Rafelski, Diploma Thesis, Frankfurt, 1984.
B. Müller and J. M. Eisenberg,Nucl. Phys. A 435, 791 (1985).
L. P. Horwitz, W. C. Schieve, and C. Piron,Ann. Phys. (N.Y.) 137, 306 (1981).
L. P. Horwitz, S. Shashoua, and W. C. Schieve,Physica A 161, 300 (1989).
L. Burakovsky and L. P. Horwitz,Physica A 201, 666 (1993).
L. Burakovsky and L. P. Horwitz,Found. Phys. 25, 785 (1995).
D. E. Miller and E. Suhonen,Phys. Rev. D 26, 2944 (1982).
L. P. Horwitz and C. Piron,Helv. Phys. Acta 46, 316 (1973).
J. M. Levy-Leblond,J. Math. Phys. 4, 776 (1963).
E. C. G. Stueckelberg,Helv. Phys. Acta 14, 372, 588 (1941);15, 23 (1942).
R. Arshansky, L. P. Horwitz, and Y. Lavie,Found. Phys. 13, 1167 (1983).
J. L. Synge,The Relativistic Gas (North-Holland, Amsterdam, 1957).
A. Erdélyi, ed.,Higher Transcendental Functions (Bateman Series) (McGraw-Hill, New York, 1953), Vol. 1, p. 257, Sec. 6.6.
A. P. Prudnikovet al., Integrals and Series (Gordon & Breach, New York, 1980), Vol. 3, p. 762, Appendix II.5.
H. E. Haber and H. A. Weldon,Phys. Rev. Lett. 46, 1497 (1981).
K. Huang,Statistical Mechanics (Wiley, New York, 1963).
L. Burakovsky, L. P. Horwitz, and W. C. Schieve, “Statistical mechanics and thermodynamics of event-anti-event system,” in preparation.
L. Burakovsky, L. P. Horwitz, and W. C. Schieve, “Relativistic Bose-Einstein condensation to mass-shell limit,” Tel-Aviv University Preprint TAUP-2149-94.
A. Actor,Nucl. Phys. B 256, 689 (1986).
I. S. Gradshteyn and I. M. Ryzhik,Tables of Integrals, Series, and Products (Academic, New York, 1980).
W. Pauli,Theory of Relativity (Pergamon, Oxford, 1958).
L. Burakovsky, L. P. Horwitz, and W. C. Schieve, “Statistical mechanics of relativistic degenerate Fermi gas. I. Cold adiabatic equation of state,” Tel-Aviv University Preprint TAUP-2124-93.
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Burakovsky, L., Horwitz, L.P. Relativistic mass distribution in event-anti-event system and “realistic” equation of state for hot hadronic matter. Found Phys 25, 1127–1146 (1995). https://doi.org/10.1007/BF02055255
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DOI: https://doi.org/10.1007/BF02055255