Pion Interferometry for Spherical Quark-Gluon Plasma Evolution Sources

Efaaf M; ZHANG Wei-Ning; Khaliliasr M; JIN En-Pei; LIU Yi-Ming

Chinese Physics C> 2005, Vol. 29> Issue(1) : 46-49

Pion Interferometry for Spherical Quark-Gluon Plasma Evolution Sources

Department of Physics,Harbin Institute of Technology,Harbin 150006,China2 Center of Theoretical Nuclear Physics,National Laboratory of Heavy Ion Accelerator of Lanzhou,Lanzhou 730000,China

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Abstract：
We examine the two–pion interferometry for the expanding sources of spherical quark–gluon plasma evolution. The quark–gluon plasma evolution is described by relativistic hydrodynamics with the equation of state of entropy density.The two–pion Hanbury-brown-twiss (HBT) correlation functions are calculated using quantum probability amplitudes in a path–integral formalism.We find the spatial parameter extracted by the two–pion interferometry is sensitive to the phase–space distribution of the pion–emitting source. the expanding velocity of the source leads to a smaller hbt radius and changes the relationship between the HBT radius and the freeze–out temperature.

References

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. Wong Cheuk-Yin. Introduction to High-Energy Heavy-Ion Collisions.Singapore: World Scientific Publishing Company, 1994. 431; Wiede-mann U A, Heinz U. Phys. Rept . , 1999, 319: 145; Weiner R M.Phys. Rept. , 2002, 327: 2492. Blaizot J P. Nucl . Phys. , 1999, A661: 3; Lourenco C. Nucl. Phys. ,2002, A698: 13; Satz H. Nucl. Phys. , 2003, A715: 33. Rischke D H, Gyulassy M. Nucl. Phys. , 1996, A608: 479; RischkeD H. nucl-th/ 9809044, 19984. Laermann E. Nucl. Phys. , 1996, A610: 15. Blaizot J P, Ollitrault J Y. Phys. Rev. , 1987, D36: 9166. Wong Cheuk-Yin. J . Phys. , 2003, G29: 21517. Wong Cheuk-Yin. J . Phys. , 2004, G30: S10538. ZHANG Wei-Ning, Ef aaf M J, Wong Cheuk-Yin, KhaliliasrM. Chin.Phys. Lett . , 2004, 21: 19189. Landau L D, Lifshitz E M. Fluid Mechani cs. New York: Pergamon,195910. Kolb P, Heinz U. nucl-th/ 0305084, 200311. Sod G A. J. Fluid Mech. , 1977, 83: 785

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Efaaf M, ZHANG Wei-Ning, Khaliliasr M, JIN En-Pei and LIU Yi-Ming. Pion Interferometry for Spherical Quark-Gluon Plasma Evolution Sources[J]. Chinese Physics C, 2005, 29(1): 46-49.

Efaaf M, ZHANG Wei-Ning, Khaliliasr M, JIN En-Pei and LIU Yi-Ming. Pion Interferometry for Spherical Quark-Gluon Plasma Evolution Sources[J]. Chinese Physics C, 2005, 29(1): 46-49. shu

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Received: 2004-06-23
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Pion Interferometry for Spherical Quark-Gluon Plasma Evolution Sources

Corresponding author: Efaaf M,

Department of Physics,Harbin Institute of Technology,Harbin 150006,China2 Center of Theoretical Nuclear Physics,National Laboratory of Heavy Ion Accelerator of Lanzhou,Lanzhou 730000,China

Received Date: 2004-06-23
Accepted Date: 1900-01-01
Available Online: 2005-01-05

Abstract: We examine the two–pion interferometry for the expanding sources of spherical quark–gluon plasma evolution. The quark–gluon plasma evolution is described by relativistic hydrodynamics with the equation of state of entropy density.The two–pion Hanbury-brown-twiss (HBT) correlation functions are calculated using quantum probability amplitudes in a path–integral formalism.We find the spatial parameter extracted by the two–pion interferometry is sensitive to the phase–space distribution of the pion–emitting source. the expanding velocity of the source leads to a smaller hbt radius and changes the relationship between the HBT radius and the freeze–out temperature.