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Observables, forgó megoldások X = Z = R, Y esetében

This study presents observable quantities and solutions for femtoscopy, focusing on the time evolution and freeze-out dependence. It explores the flow velocity field, particle number, pressure, and energy density, and discusses the temperature and compressibility for ideal gas. The results include the time evolution of axes X, Z, and R, the two-particle Bose-Einstein correlation function, and the freeze-out time dependence of slope parameters, transverse momentum, and HBT radius parameters.

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Observables, forgó megoldások X = Z = R, Y esetében

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  1. Observables, forgó megoldások X = Z = R, Y esetében • Nagy Márton1, Barna Imre Ferenc2 és Csörgő Tamás2 1Eötvös University Budapest 2Wigner Research Centre for Physicsof the Hungarian Academy of Sciences Femtoscopy Műhely 2015 Aug 17, Gyöngyös

  2. Our starting equations v flow velocity field, nparticle number, p pressure, m particle mass, energy density The closing Equation of State T temperature, compressibility for ideal gas 3/2

  3. The Ansatz for the solution where is known from a long time

  4. The final ordinary differentialequation for the time propagation The time dependence of the temperature is Inital conditions

  5. The observables and the new solutions the emission function at a constant freeze-out temperature single particle spectrum

  6. The observables and the new solutions Using the new notation: new terms from the rotation

  7. The observables II the two-particle BECF new terms from the rotation the transverse momentum of the measured pair

  8. Results I Time evolutions of the axes X(t) = Z(t) = R(t) Inital conditions: R0 = 5 fm, Y0= 5 fm

  9. Results II Time evolutions of the axes Y(t) Inital conditions: R0 = 5 fm, Y0= 5 fm

  10. Results III The time evolution of the temperature and the angular velocity Inital conditions: R0 = 5 fm, Y0= 5fm Kappa = 3/2 Tf = 140 MeV at8 – 10 fm/c

  11. Results IV Freeze-out time dependence of the slope parameters T_x = T _z Inital conditions: R0 = 5 fm, Y0= 5fm Kappa = 3/2 Tf = 140 MeV

  12. Results V The slope parameters T_x = T _z and the effective temperature Inital conditions: R0 = 5 fm, Y0= 5fm Kappa = 3/2 Tf = 140 MeV

  13. Results VI V2 for pions (upper) and protons (lower) Inital conditions: R0 = 5 fm, Y0= 5fm Kappa = 3/2 Tf = 140 MeV 0

  14. Results VII The freeze-out time dependence of v2 for pions (upper) and for protons (lower) at fixed pT (300 MeV/c) and (1000 MeV/c) Inital conditions: R0 = 5 fm, Y0= 5fm Kappa = 3/2

  15. Results VIII The HBT radius parameters R20 (upper panel) • R2s (middel panel) • R2os (lower panel) for m= 400MeV

  16. Results IX Freeze-out time dependence of the azimuthal average of Rs2 (upper) and Rl2 (lower) m = 400 MeV

  17. Thank You for Your Attention! Questions, Remarks, Comments?…

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