1. Freeze-out information and light nucleus production KAIJIA SUN( 孙开佳 ) 2013 08 09 in relativistic heavy-ion collisions (INPAC and Department of Physics and Astronomy, Shanghai Jiao Tong University. sunkaijia@sjtu.edu.cn) Advisor: Lie-wen Chen ( 陈列文 )

2. 1. Retière-Lisa model Transverse momentum distribution, Freeze-out information 2. Coalescence model Wigner function : a semi-classical method to calculate coalescence probability of multiple particles 3. Yields of Light nucleus, Hypertriton, and di-Lambda 4. Summary and outlook outline

3. Local Thermal Equilibrium Longitudinal boost invariance Freeze-out in momentum space x y z Basic hypothesis J.D.Bjorken, Phys.Rev.D 27, 140(1983)

4. Retière-Lisa Model Fabrice Retière et.al, PRC70, 044907(2004) One particle invariant distribution Covariant distribution function Parameterization of transverse flow Fred Cooper and Graham Frye, Phys. Rev D. 10, 186 (1974)

5. Freeze-out Information Spectrum of proton, centrality 0~5% The PHENIX Collaboration, Phys. Rev.C. 69, 034909 (2004) In preparation Sun and Chen

6. Dover/Heinz/Schnedermann/Zimanyi, PRC44, 1636 (1991)  The structure of freeze-out space-time  Neglecting binding energy  coalescence probability : Wigner function Statistical factor Invariant phase factor Phase space distribution Wigner function Covariant Coalescence model

7. Wigner phase-space density for t/ 3 He t/ 3 He Wigner phase-space density and root-mean-square radius: Assume nucleon wave function in t/ 3 He can be described by the harmonic oscillator wave function, i.e., RMS radius is the only parameter determining wigner function !

8. Light nucleus spectrum particlesdN/dy proton15.9 deuteron0.086 He31.3E-4 4.21E-5 He41.62E-7 1.21E-8 5.72E-11 (The PHENIX Collaboration), Phys. Rev. C. 69, 034909 (2004) (The STAR Collaboration), Phys. Lett.B. 655, 104(2007) (The STAR Collaboration), Phys. Rev.Lett. 108, 072301(2004) (The STAR Collaboration), arXiv:0909.0566[nucl-ex] Fugacity ξ = 8.3 Size τ 0 = 9.9 (fm/c) R 0 =18.0 （ fm ） In preparation Sun and Chen

9. Yields of light nucleus H. Agakishiev, et al. (Star Collaboration) Nature473 (2011) 353. L.Xue and Y.G.Ma, et al. PRC85,064912. 2012 In preparation Sun and Chen

10. Ratio A.Andronic, P.Braun-Munzinger,J.Stchel, Phys. Lett.B. 673, 142-145 (2009) In preparation Sun and Chen

11. Physics with strangeness 1.Signal for QGP 2.Test QCD and Nature of nuclear force 3.De-confined Phase transition

12. Yields of Hypertriton and Di-Lambda with S=-2 H. Garcilazo et.al, PRL 012503(2013) D=0.086 He3=12.9E-5 In preparation Sun and Chen

13. Summary and outlook Coalescence model is a useful tool to describe the light nucleus production at relativistic HIC’s and extract freeze-out information H-dibaryon yield at RHIC is between that of d and 3 He It is interesting to see the HBT correlation….. This method is easy to extend to quark level to investigate hardronization