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Analysis of Low Energy Pion Spectra

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Presentation on theme: "Analysis of Low Energy Pion Spectra"— Presentation transcript:

1 Analysis of Low Energy Pion Spectra
HIM Apr. 18, 2007 at Yonsei Univ. Suk Choi Prof.: Kang Seog Lee Chonnam National University

2 Purpose Low pt pion enhancement is either from D resonance contribution or Coulomb interaction. Near pion production threshold energy, pions are produced through D resonance. Charged pion spectra in Au+Au collision at 2, 4, 6, and 8 GeV/A by E895 Collaboration were analyzed by ellipsoidal Blastwave Model with resonance contribution & Coulomb Correction. p-/p+ is used as a fitting parameter to study beam energy dependence.

3 Lorentz-Transformed Boltzman distribution Spectrum is determined
Blast-Wave Model Lorentz-Transformed Boltzman distribution Cooper-Frye Formula Thermal Spectrum Ellipsoidally expanding fireball model. Spectrum is determined by freeze-out values. Fit Parameters

4 Parameters is overall constant. Vp+ , Vp- each parameters are fitted.
Herald Dobbler et al is overall constant. Vp+ , Vp- each parameters are fitted. is longitudinal rapidity. is transverse rapidity at (R0, z=0) Inside : linear transverse rapidity profile ellipsoidal expansion

5 Resonance contribution by J. Sollfrank
Spectrum Calculation Coulomb Correction Resonance Contribution Thermal Spectrum N=118 ,Z=79 in Au+Au Resonance contribution by J. Sollfrank

6 is the unshifted invariant cross section
Coulomb Correction is the unshifted invariant cross section

7 Fitted Values for each parameters
2 1.41 1.12 0.88 46 25 1.96 1.3 4 0.93 1.32 0.92 57 24 1.95 2.9 6 1.44 1.50 1.11 54 18 1.40 2.4 8 1.62 1.58 55 15 1.38 1.8

8 Transverse Mass Spectrum
E895, Au+Au at 2 GeV/A mt - m0

9 Transverse Mass Spectrum
E895, Au+Au at 8 GeV/A mt - m0

10 Rapidity Spectrum

11 for comparison Tch = 50MeV and mbch=850MeV at 1GeV/A Au+Au
from particle ratio analysis Cleymans et al., Phys. Rev. C59, 1663(1999)

12 Conclusion Small freeze-out temperature with large expansion velocities are obtained and thus resonance contribution is negligible. Difference in the low momentum region of the two oppositely charged pions are due to the final state Coulomb interaction. Effect of Coulomb interaction decreases as beam energy increases. Near 2 GeV/A, p-/p+ is about As energy increases the ratio decreases.

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