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Quantum Harmonic Oscillator for J/psi Suppression at RHIC and SPS

Quantum Harmonic Oscillator for J/psi Suppression at RHIC and SPS. Carlos Andrés Peña Castañeda Institute of Theoretical Physics, University of Wrocław, Poland. Relativistic Heavy Ion Collisions at High Baryon Number Density Wrocław, December 5-6, 2009.

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Quantum Harmonic Oscillator for J/psi Suppression at RHIC and SPS

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  1. Quantum Harmonic Oscillator for J/psi Suppression at RHIC and SPS Carlos Andrés Peña Castañeda Institute of Theoretical Physics, University of Wrocław, Poland Relativistic Heavy Ion Collisions at High Baryon Number Density Wrocław, December 5-6, 2009 Dense Matter in heavy Ion collisions and supernovae Prerow, October 10-14, 2004

  2. OUTLINE 1. PhysicalMotivation 2.Quantum Harmonic oscillator model for J/psi suppression 3. Suppression Factor 4.Comparison with RHIC and SPS 5. Conclusions

  3. Overview to J/psi suppression in HIC T/TC J/(1S) c(1P) ’(2S) Physical motivation J/psi SUPRESSION BY QUARK GLUON PLASMA FORMATION T. Matsui and H. Satz Phys.Lett. B178 (1986) 416 Charmonia suppression has been proposed, more than 20 years ago, as a signature for QGP formation Sequential suppression of the resonances is a thermometer of the temperature reached in the collisions

  4. Overview to J/psi suppression in HIC Results are shown as a function of a the multiplicity of charged particles ( assuming SPS~RHIC ) Good agreement between PbPband AuAu R. Arnaldi, Scomparin and M.Leitch Heavy Quarkonia production in Heavy-Ion Collisions Trento, 25-29 May 2009

  5. 2.Quantum mechanical oscillator model for J/psi suppression T. Matsui. Annals Phys. 196, 182 (1989). Calculate the distortion formation amplitude Calculate the asymptotic state for a given hamiltonian.

  6. 2.Quantum mechanical oscillator model for J/psi suppression

  7. 2.Quantum mechanical oscillator model for J/psi suppression

  8. 3.Suppression Factor Suppression factor Model Assumptions 1. One dimensional expansion 2. LQCD entropy density 3. Evolution and propagation times

  9. 4. Comparison with RHIC and SPS Size of anomalous suppression is obtained No agreement between AuAu and PbPb Discontinuous frequency

  10. 4. Comparison with RHIC and SPS (complex potential) D. Blaschke, C. Peña. Quantum Harmonic Oscillator Model for J/psi suppression. (In progress) I. Gjaja, A. Bhattacharjee. Phys. Rev lett, 68 (1992) 2413 P. G. L. Leach, K. Andriopoulus. Appl. Ann. Discrete Math. 2 (2008)146 Kleinert Hagen. Path integral in quantum mechanics, statistics, polymer physics and financial markets, 3rd Edition, 2004.

  11. 4. Comparison with RHIC and SPS (complex potential) Example Control the character of phase transition consistently with a second order phase trasition

  12. 4. Comparison with RHIC (screening) (Real Potential Temperature Dependence) Continuous frequency

  13. 4. Comparison with RHIC (Screening and Damping) (Complex Potential Temperature Dependence)

  14. 4. Comparison with RHIC (Screening and Damping) Only Screening (Real) Screening and Damping (Complex) Control the character of phase transition C. Wong, Lectures on Landau Hydrodynamics. A. Polleri et al, Phys. Rev C. 70 (2004) 044906 Boris Tomásik et al, Nucl-th/9907096 L. Grandchamp, R. Rapp, Phys. Lett B. 523 (2001) 60 Damping due to abpsortion cross section Agreement between AuAu and PbPb (3D)

  15. 4.Conclusions 1. The QHO model can be solved almost analytically for a given complex potential depending on Temperature (frequency depending on time). 2. The size of anomalous suppression is obtained easily by fitting the model to the experimental data from SPS and RHIC. 3. The model can be made more robust for an accelerated expansion.

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