Hadronic Effects on T cc in Relativistic Heavy Ion Collisions

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1 Hadronic Effects on T cc in Relativistic Heavy Ion Collisions Juhee Hong Yonsei University New Frontiers in QCD 2018, YITP, Kyoto University arxiv: , JH, Sungtae Cho, Taesoo Song, and Su Houng Lee 6/19/2018 NFQCD2018 1/21

2 Outline Hadronic effects in relativistic heavy ion collisions Absorption of T cc by pions Time evolution of T cc abundance Measurements 6/19/2018 NFQCD2018 2/21

3 Hadronic effects in relativistic heavy ion collisions 6/19/2018 NFQCD2018 3/21

4 Relativistic heavy ion collisions LHC RHIC Quark-Gluon Plasma T H 160 MeV Hadronization Hadron Gas Hadronic Effects 1 fm/c 7 fm/c 17 fm/c T F 120 MeV Freeze-out Absorption/production in the hadronic phase 6/19/2018 NFQCD2018 4/21

5 Hydrodynamic evolution Hydrodynamics: T =0, T = (e+p)u u - pg + Lattice equation of state ideal Pb+Pb collisions at s NN =2.76 TeV at LHC Au+Au collisions at s NN =200 GeV at RHIC viscous: /s=1/4 6/19/2018 NFQCD2018 5/21

6 Phenomenological model for > H hadronize freeze-out hydro fitting T C =T H (MeV) T F (MeV) C = H (fm/c) F (fm/c) R (fm) v (c) a (c 2 /fm) LHC Ideal viscous RHIC Ideal viscous ExHIC Collaboration (2017) hadronic phase 10 fm/c 6/19/2018 NFQCD2018 6/21

7 Statistical model Particle yields: Spin-isospin degeneracy: g = (2S+1)(2I+1) Charm fugacity: from D, D *, D s, D s * N c = LHC RHIC at = H ExHIC Collaboration (2017) 6/19/2018 NFQCD2018 7/21

8 Hadronic effects Resonances with large widths: K * suppression Particle yield ratios: K * /K, /K depending on system size A. Andronic, P. Braun-Munzinger, J. Stachel (2006) from J. Song s dissertation 6/19/2018 NFQCD2018 8/21

9 T cc absorption 6/19/2018 NFQCD2018 9/21

10 Doubly charmed tetraquark Tcc(1 + ) The only possible flavor exotic particle Consitituent quark model: stronger attraction in the compact configuration than two separate mesons in color states: singlet octet 6/19/2018 NFQCD /21

11 Quasifree approximation J/ dissociation by parton: g + J/ c + L. Grandchamp, R. Rapp (2001) For a loosely bound charmonium state: break-up by inelastic parton scattering, g(q, ) + J/ g(q, ) + c + Quasifree approximation using LO QCD: g(q) + c g(q) + c k=q-p 2 QF NLO calculations seem to agree on the order of magnitude T. Song, S. H. Lee (2005), T. Song, W. Park, S. H. Lee (2010) 6/19/2018 NFQCD /21

12 Tcc+ classical elastic scattering T cc absorption/production by pions: T cc + D + D * + Quasifree approximation: T cc tot = D tot + D* tot (no interference) D+ D+ T cc g DD* + D * + D * + + Effective Lagrangian: Decay width: = 83.4 kev Z. Lin, C. M. Ko (2000) Particle Data Group (2016) 6/19/2018 NFQCD /21

13 Tcc absorption cross section at s 0, m D* m D +m 6mb Spin-isospin averaged cross section: Form factor: Thermal effects: 6/19/2018 NFQCD /21

14 Evolution of T cc multiplicity 6/19/2018 NFQCD /21

15 Rate equation Absorption: T cc + D+D * + absorption rate Production: D+D * + T cc +, 6/19/2018 NFQCD /21

16 Evolution of Tcc abundance Rate equation: Absorption rate: < >n (6mb)(0.1fm -3 ) 0.06 c/fm Lifetime of hadronic phase 10 fm/c Hadronic effects on T cc : Exp[- < >n ] 45% reduction Time evolution of T cc multiplicity with dependence of V( ), T( ) 6/19/2018 NFQCD /21

17 Initial N Tcc ( H ) depends on its structure (1) Molecular configuration (c 1 =1): N Tcc 10-3 (2) Compact multiquark (c 1 =1/3): N Tcc 10-4 Hadronic effects 42% N Tcc depends on its initial number at QGP 6/19/2018 NFQCD

18 D, D* in non-equilibrium: larger N Tcc (1) D, D* = const (2) time dependent fugacity N Tcc 10-3 N Tcc 10-4 N Tcc (mol) 5 N Tcc (comp) 6/19/2018 NFQCD /21

19 Measurements 6/19/2018 NFQCD /21

20 Possible final states T cc can be reconstructed by measuring possible final states (1) m Tcc m D + m D* T cc D 0 + D *+ or D + + D *0 or D + + D K D not easy to detect directly (2) m D + m D* m Tcc m D + m D + m virtual D *+ T cc D 0 + D (3) m Tcc m D + m D + m virtual D + T cc D 0 + K or D + + K /19/2018 NFQCD /21

21 Summary Time evolution of T cc abundance by solving the rate equation Absorption by pions: hadronic effects 42 T cc multiplicity depends strongly on initial yields of QGP phase N Tcc (mol) 10-3 N Tcc (comp) 10-4 N Tcc measurement is useful to obtain its structure information D + +D and D 0 +D seem to be the most probable cases to reconstruct T cc Thank you for your attention! 6/19/2018 NFQCD /21