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

Quantum Harmonic Oscillator and J/psi Suppression at RHIC and SPS. Carlos Andrés Peña Castañeda Institute of Theoretical Physics, University of Wroclaw, Poland. 1. Physical Motivation 2. Quantum Harmonic oscillator model for J/psi suppression 3. Our contribution to the model

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

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  1. Quantum Harmonic Oscillator and J/psi Suppression at RHIC and SPS Carlos Andrés Peña Castañeda Institute of Theoretical Physics, University of Wroclaw, Poland 1. PhysicalMotivation 2.Quantum Harmonic oscillator model for J/psi suppression 3. Our contribution to the model 4.Comparison with RHIC and SPS 5. Conclusions

  2. Overview to J/psi suppression in HIC T/TC J/(1S) c(1P) ’(2S) Physics 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

  3. Overview to J/psi suppression in HIC Results are shown as a function of a the multiplicity of charged particles ( assuming SPS~RHIC ~ 1 fm/c ) Good agreement between PbPb and AuAu R.~Arnaldi, Scomparin and M. Leitch Heavy Quarkonia production in Heavy-Ion Collisions Trento, 25-29 May 2009

  4. 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.

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

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

  7. 3.Our contribution to the model One dimensional expansion With the entropy density Suppression factor Assumption Size of anomalous suppression is obtained No agreement between AuAu and PbPb Discontinuous phase transition

  8. 3.Our contribution to the model Phys. Rev lett, 68 (1992) 2413 Appl. Ann. Discrete Math. 2 (2008)146 Kleinert Hagen. Path integral in quantum mechanics statistics polymer physics and financial markets Screening (Real) Damping (Imaginary) Size of anomalous suppression is obtained A. Polleri et al, Phys. Rev C. 70 (2004) 044906 Continous phase transition Boris Tomásik et al, Nucl-th/9907096 Damping due to abpsortion cross section L. Grandchamp, R. Rapp, Phys. Lett B. 523 (2001) 60 Agreement between AuAu and PbPb (3D) Accelerated expansion

  9. 4.Conclusions 1.The QHO model can be solved almost analytically with a Screening (real) and damping (Imaginary) in the potential. 2.The size of anomalous suppression is obtained easily. 3. The model can be made more robust for an accelerated expansion.

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