Hadronic Effects on T cc in Relativistic Heavy Ion Collisions Juhee Hong Yonsei University New Frontiers in QCD 2018, YITP, Kyoto University arxiv: 1804.05336, JH, Sungtae Cho, Taesoo Song, and Su Houng Lee 6/19/2018 NFQCD2018 1/21
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
Hadronic effects in relativistic heavy ion collisions 6/19/2018 NFQCD2018 3/21
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
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
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 156 115 8.1 18.3 12.1 0.70 0.022 0.95 viscous 156 115 8.3 19.5 11.9 0.67 0.020 0.93 RHIC Ideal 162 119 6.1 15.1 9.9 0.59 0.030 0.85 viscous 162 119 6.1 15.7 9.8 0.58 0.024 0.79 ExHIC Collaboration (2017) hadronic phase 10 fm/c 6/19/2018 NFQCD2018 6/21
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 11 4.1 51 22 at = H ExHIC Collaboration (2017) 6/19/2018 NFQCD2018 7/21
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
T cc absorption 6/19/2018 NFQCD2018 9/21
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 NFQCD2018 10/21
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 NFQCD2018 11/21
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 NFQCD2018 12/21
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 NFQCD2018 13/21
Evolution of T cc multiplicity 6/19/2018 NFQCD2018 14/21
Rate equation Absorption: T cc + D+D * + absorption rate Production: D+D * + T cc +, 6/19/2018 NFQCD2018 15/21
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 NFQCD2018 16/21
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 NFQCD2018 17
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 NFQCD2018 18/21
Measurements 6/19/2018 NFQCD2018 19/21
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 0 + + not easy to detect directly (2) m D + m D* m Tcc m D + m D + m virtual D *+ T cc D 0 + D 0 + + (3) m Tcc m D + m D + m virtual D + T cc D 0 + K - + + + + or D + + K - + + + + + - 6/19/2018 NFQCD2018 20/21
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 0 + + seem to be the most probable cases to reconstruct T cc Thank you for your attention! 6/19/2018 NFQCD2018 21/21