quantum harmonic oscillator for j/psi suppression at rhic and sps carlos andrés peña castañeda...
TRANSCRIPT
Quantum Harmonic Oscillator for
J/psi Suppression at RHIC and SPS
Carlos Andrés Peña CastañedaInstitute of Theoretical Physics,
University of Wrocław, Poland
Dense Matter in heavy Ion collisions and supernovaePrerow, October 10-14, 2004
Relativistic Heavy Ion Collisions at High Baryon Number DensityWrocław, December 5-6, 2009
1. Physical Motivation
2. Quantum Harmonic oscillator model for J/psi suppression
3. Suppression Factor
4. Comparison with RHIC and SPS
5. Conclusions
OUTLINE
1.Overview to J/psi suppression in HIC
Charmonia suppression has been proposed, more than 20 years ago, as a signature for QGP formation
Physical motivation
J/psi SUPRESSION BY QUARK GLUON PLASMA FORMATION
T. Matsui and H. SatzPhys.Lett. B178 (1986) 416
Sequential suppression of the resonances is a thermometer of the temperature reached in the collisions
T/TC
J/(1S)
c(1P)
’(2S)
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1.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 PbPb and AuAu
R. Arnaldi, Scomparin and M.LeitchHeavy Quarkonia production in Heavy-Ion Collisions
Trento, 25-29 May 2009
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2. Quantum mechanical oscillator model for J/psi suppression
Calculate the distortion formation amplitude
Calculate the asymptotic state for a given hamiltonian.
T. Matsui. Annals Phys. 196, 182 (1989).
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3. Suppression Factor
1. One dimensional expansion
2. LQCD entropy density
Suppression factor
3. Evolution and propagation times
Model Assumptions
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4. Comparison with RHIC and SPS
Size of anomalous suppression is obtained
No agreement between AuAu and PbPb
Discontinuous frequency
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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) 2413P. G. L. Leach, K. Andriopoulus. Appl. Ann. Discrete Math. 2 (2008)146Kleinert Hagen. Path integral in quantum mechanics, statistics, polymer physics and financial markets, 3rd Edition, 2004.
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4. Comparison with RHIC and SPS (complex potential)Example
Control the character of phase transition consistently with a second order phase trasition
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4. Comparison with RHIC (Screening and Damping)
Agreement between AuAu and PbPb (3D)
Damping due to abpsortion cross section
Only Screening (Real) Screening and Damping (Complex)
C. Wong, Lectures on Landau Hydrodynamics.A. Polleri et al, Phys. Rev C. 70 (2004) 044906Boris Tomásik et al, Nucl-th/9907096 L. Grandchamp, R. Rapp, Phys. Lett B. 523 (2001) 60
Control the character of phase transition
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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.