gnes Mcsy QWG Meeting BNL June 27-30 06 Quarkonia above Deconfinement and Potential Models gnes Mcsy QuickTime and a TIFF (Uncompressed) decompressor are needed to see this picture. 1 gnes Mcsy QWG Meeting BNL June 27-30 06 potential models vs lattice QCD some features of quarkonia spectral functions agree BUT there are unreconciled inconsistencies 1st analysis of correlators from potential models our attempts to understand the discrepancies summary 2
gnes Mcsy QWG Meeting BNL June 27-30 06 J/ suppression unambiguous signal of deconfinement T. Matsui, H. Satz 1986 in quark-gluon plasma the color Coulomb-force between heavy Q and Q gets Debye-screened Rscreening < RQQ quarkonium dissociates sequential suppression F. Karsch, M. Mehr, H. Satz 1988 (2S) c(1P) 0.9fm 0.7f m J/ 0.4f (1S) m T
modification of quarkonia properties with temperature could tell about deconfinement it all started in 1986 3 gnes Mcsy QWG Meeting BNL June 27-30 06 correlation functions of hadronic currents reliably calculated (,T )K ( ,,T ) d G( ,T ) = function (,T) spectral Grecon ( ,T ) (,T = 0)K ( ,,T ) d M E M =1 (,T) = (,T = 0) c0 P. Petreczky et al 2006 1P charmonium is gone at
since 2004 from also: T. Umeda 1.16TcT. Hatsuda, M. Asakawa S. Datta et al 2004 QCD 4 gnes Mcsy QWG Meeting BNL June 27-30 06 c 1S charmonium survives S. Datta et al 2004 up to 1.5Tc correlator spectral function does not change function model
properties contradictionspectral with early potential predictions do not change from 5 gnes Mcsy QWG Meeting BNL June 27-30 06 At what temperature do heavy quark bound states disappear? Can modification of quarkonia properties be understood via a temperature-dependent screened potential? If yes, what is the potential?
If not, how can we explain quarkonium dissociation? What is the mechanism behind quarkonia melting? 6 gnes Mcsy QWG Meeting BNL June 27-30 06 heavy Q-Q interactions are mediated by a potential V(r) J/ confined deconfined r T = 0 a V(r ) = + r r success for spectroscopy lattice confirmed obtainable from QCD
dont know T > Twe c assume a temperature-dependent potential V(r,T) & solve Schrdingers equation to obtain properties of 1 d 2 l (l + 1) + + V r E ( ) u (r ) = 0 2 2 m dr mr potential MODEL R (r ) =
u (r ) r 7 gnes Mcsy QWG Meeting BNL June 27-30 06 screened Cornell potential: V (r , T ) = F. Karsch, M. Mehr, H. Satz, 1988 fitted lattice internal energy: Shuryak, I. Zahed, WongE.potential: 2004 mixture of lattice internal & W. Alberico et al 2005 a (T ) r
T r e + 1 e ( ) r (T ) ( ) free energy Common: all could keep the J/ J/ up to 1.5 Tc O. Kaczmarek et al 2004 C. Y. Wong 2005 Is this enough to be consistent with lattice? screened potentials 8 gnes Mcsy
QWG Meeting BNL June 27-30 06 bound states/resonances + M, P. Petreczky, continuum hep-ph/0411262 hep-ph/0512156 hep-ph/0606053 () = 2M F ( 2 i i 2 M i2 ) + m 0 2 f (,s0 ) ( s0 ) Schrdinger eq with V(r,T) Mi(T) bound state mass
Fi(T) amplitude asymptotic value of V(r,T) G( ,T ) = s0(T) threshold (,T )K ( ,,T )d G(T > Tc ) Grecon I. model spectral function 9 gnes Mcsy QWG Meeting BNL June 27-30 06 M, P. Petreczky 2005
S. Datta et al 2004 the c0 is gone just above Tc increase in correlator due to continuum qualitative agreement with lattice c0 correlator 10 gnes Mcsy QWG Meeting BNL June 27-30 06 M, P. Petreczky 2005 S. Datta et al 2004 c correlator does not agree with lattice increase due to continuum, decrease due to amplitude reduction correlator implies change in spectral function disagrees with lattice feature for all screened potentials
c correlator 11 gnes Mcsy QWG Meeting BNL June 27-30 06 no assumption for spectral function needed S-wave lattice internal energy M, P. Petreczky, J. CasalderreySolana, in prep. A. Jakovc et al 2006 drastic change in 1S mass & amplitude inconsistent with lattice even though 1S survives the spectral function is strongly modified II. nonrelativistic Greens 12 gnes Mcsy QWG Meeting BNL June 27-30 06 Wong potential
M, P. Petreczky hep-ph/0606053 A. Jakovc et al 2006 inconsistency with lattice data is even worse how could we - can we - produce agreement with lattice? Greens fct. cont. 13 gnes Mcsy QWG Meeting BNL June 27-30 06 M no temperature-dependent screening hep-ph/0606124 no modification of the 1S properties - use PDG melting of 2S and 3S states melting of the 1P state continuum threshold s0 reduction T = 0 T Tc s01
P s0 1S s2S 3S s0 0 instead consider a toy 14 gnes Mcsy QWG Meeting BNL June 27-30 06 c0 c M 2006 choice of s0 can reproduce lattice correlators c unchanged & c0 increased compensate for the melting of higher excited states above Tc with the decrease of the threshold
the toy model 15 gnes Mcsy QWG Meeting BNL June 27-30 06 screened Cornell potential M, P. Petreczky, J. CasalderreySolana, in prep. maybe works BUT note: screened not screened screening might not be the mechanism governing quarkonia melting tscreening>tQQ with nonrelativistic 16 gnes Mcsy QWG Meeting BNL June 27-30 06 temperature-dependent screened potentials have problems even though 1S can survive and 1P melts two different analysis of spectral functions and correlators not consistent with lattice QCD medium modification cannot be described by a simple Debye screening picture
gluo-dissociation effect finite width Greens fct current investigation conclusion 17 gnes Mcsy QWG Meeting BNL June 27-30 06 Pter Petreczky Jorge Casalderrey-Solana Dima Kharzeev Helmut Satz my thanks to 18 gnes Mcsy QWG Meeting BNL June 27-30 06 E QQ T 1 Rate of J/ escape into the continuum
R T 2 exp Z(T) D. Kharzeev, L. McLerran, H. Satz 1995 Z(T) = ZQQ (T) + Z cont (T) binding energyE QQ E M exp QQ T 3 / 2 exp QQ T T = s0 MQQ T >> EQQ screening T << EQQ gluoE. Shuryak dissociation G. Bhanot, M.Peskin continuum effect
dominates all states get modified 1978 1979 discrete states dominate ground state unaffected relevant T >Tc gluon sector 19
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