Abstract
The momentum distribution of Λ0 hyperons produced from the quark-gluon plasma (QGP) in ultra-relativistic heavy-ion collisions is calculated in dependence on their polarization. The momentum distribution of Λ0 hyperons is defined by matrix elements of relativistic quark Wigner operators, which are calculated within the effective quark model with chiral U(3)×U(3) symmetry and the quark-gluon transport theory. We show that the polarization of the Λ0 hyperon depends on the spin of the strange quark that agrees well with the DeGrand-Miettinen model. We show that Λ0 hyperons, produced from the QGP, are fully unpolarized. This means that a detection of unpolarized Λ0 hyperons, produced in ultra-relativistic heavy-ion collisions, should serve as one of the signatures for the existence of the QGP in intermediate states of ultra-relativistic heavy-ion collisions.
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References
G. Bunce et al., Phys. Rev. Lett. 36 (1976) 1113; K. Heller et al., Phys. Lett. B 68 (1977) 480; K. Heller et al., Phys. Rev. Lett. 41 (1978) 607; S. Erhan et al., Phys. Lett: B 82 (1979) 301; F. Lomanno et al., ibid. Phys. Lett.: B 43 (1979) 1905; Phys. Lett. B 96 (1980) 223; K. Raychaudhuri et al., Phys. Lett. B 90 (1980) 319; C. Wilkinson et al., Phys. Rev. Lett. 46 (1981) 803; J. Bensinger et al., Phys. Rev. Lett. 50 (1983) 313; F. Abe et al., Phys. Rev. Lett. 50 (1983) 1102; L. Deck et al., Phys. Rev. D 28 (1983) 803; B.E. Bonner et al., Phys. Rev. D 38 (1988) 729; B. Lundberg et al., Phys. Rev. D 40 (1989) 3557; J. Félix et al., Phys. Rev. Lett. 82 (1999) 22; Nucl. Phys. A 721 (2003) 805c.
J. Félix, Mod. Phys. Letters A 12 (1997) 363.
J. Félix, Mod. Phys. Lett. A 14 (1999) 827.
R. Stock et al., Proc. Conf. on Quark Matter Formation and Heavy Ion Collisions, eds. M. Jacob and H. Satz, World Scientific, Singapore, 1982, pp. 557–582.
A.D. Panagioton, Phys. Rev. C 33 (1986) 1999; Int. J. Mod. Phys. A 5 (1990) 1197.
R. Barni, Phys. Lett. B 296 (1992) 251.
M. Anselmino et al., Phys. Rev. D 63 (2001) 044029.
R. Bellwied (E896 Collaboration). Nucl. Phys. A 698 (2002) 499c.
A. Bravar et al., Phys. Rev. Lett. 78 (1997) 4003.
A. Ayala, E. Cuautle, G. Herrera and L.M. Montaño, Phys. Rev. C 65 (2002) 024902.
T.A. DeGrand and H.I. Miettinen, Phys. Rev. D 23 (1981) 1227; T. Fujita and T. Matsuyama, Phys. Rev. D 38 (1988) 401; T.A. DeGrand, Phys. Rev. D 38 (1988) 403.
F. Cooper and G. Frye, Phys. Rev. D 10 (1974) 186.
U. Heinz, K.S. Lee and E. Schnedermann, Hadronization of a Quark-Gluon Plasma, in Quark-Gluon Plasma — Advanced Series on Directions in High-Energy Physics, ed. by R.C. Hwa. World Scientific Publishing Co., Vol. 6 (1990) 471 and references therein.
F. Jüttner, Z. Phys. 47 (1928) 542.
S.R. de Groot, W.A. van Leeuwen and Ch.G. van Weert, in Relativistic Kinetic Theory, Principles and Applications, North-Holland Publishing Company, Amsterdam-New York-Oxford, 1980.
E.P. Wigner, Phys. Rev. 40 (1932) 749; W.E. Brittin and W.R. Chappell, Rev. Mod. Phys. 34 (1962) 620; F. Cooper and D. Sharp, Phys. Rev. D 8 (1975) 194; P. Carruthers and F. Zachariasen, Phys. Rev. D 13 (1976) 950; T.R. Dominguez and R. Hakim, Phys. Rev. D 15 (1977) 1435; J. Phys. A 10 (1977) 1525; R. Hakim, Rev. Nuovo Cim. 1 (1978) 1; Ch.G. van Weert and W.P.H. de Boer, Physica A 81 (1975) 597.
H.-T. Elze and U. Heinz, Quark-Gluon Transport Theory, in Quark-Gluon Plasma — Advanced Series on Directions in High-Energy Physics, ed. by R.C. Hwa, World Scientific Publishing Co., Vol. 6 (1990) 117 and references therein.
A.Ya. Berdnikov, Ya.A. Berdnikov, A.N. Ivanov, V.A. Ivanova, V.F. Kosmach, V.M. Samsonov, N.I. Troitskaya and V. Thatar Vento, Polarization of Λ0 hyperons as a signature for the Quark-Gluon Plasma, nucl-th/0312045.
A.N. Ivanov, M. Nagy and N.I. Troitskaya, Phys. Rev. C 59 (1999) 451.
A.Ya. Berdnikov, Ya.A. Berdnikov, A.N. Ivanov, V.F. Kosmach, M.D. Scadron and N.I. Troitskaya, Eur. Phys. J. A 12 (2001) 87; Phys. Rev. D 64 (2001) 014027.
Ya.A. Berdnikov, A.N. Ivanov, V.F. Kosmach and N.I. Troitskaya, Phys. Rev. C 60 (1999) 015201.
L. Dolan and R. Jackiw, Phys. Rev. D 9 (1974) 3320.
R.P. Feynman, Phys. Rev. Lett. 23 (1969) 1415; R.P. Feynman, in Photon Hadron Interactions, Benjamin, New York, 1972.
J.D. Bjorken and E.A. Paschos, Phys. Rev. 185 (1969) 1975.
F.E. Close, in An Introduction to Quarks and Partons, Academic Press, New York, 1979.
T.S. Biró and J. Zimányi, Nucl. Phys. A 395 (1983) 525; P. Koch, B. Müller and J. Rafelski, Phys. Rep. 142 (1986) 167; J. Rafelski and B. Müller, Phys. Rev. Lett. 48 (1982) 1066; J. Rafelski, Nucl. Phys. A 418 (1984) 215; A. Shor, Phys. Rev. Lett. 54 (1985) 1122; J. Rafelski, J. of Phys. G 25 (1999) 451; T.S. Biró, P. Lévai and J. Zimányl, Phys. Lett. B 347 (1995) 6; J. Zimányi, T.S. Biró and P. Lévai, Quark liberation and coalescence at CERN SPS, hep-ph/9904501; A.Ya. Berdnikov, Ya.A. Berdnikov, A.N. Ivanov, V.A. Ivanova, V.F. Kosmach, V.M. Samsonov and N.I. Troitskaya, On hadron production from the quark-gluon plasma phase in ultra-relativistic heavy-ion collisions, hep-ph/0005205; T.S. Biró, P. Lévai and J. Zimányi, J. Phys. G 28 (2002) 1561.
See [1] and B.E. Bonner et al., Phys. Rev. D 38 (1988) 729.
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Berdnikov, A.Y., Berdnikov, Y.A., Ivanov, A.N. et al. Polarization of Λ0 hyperons as a signature for the quark-gluon plasma. Acta Phys. Hung. A 22, 139–147 (2005). https://doi.org/10.1556/APH.22.2005.1-2.14
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DOI: https://doi.org/10.1556/APH.22.2005.1-2.14