Nonsan06 - S.H.Lee 1 1.Introduction on J/  suppression in heavy ion collision 2.Progress in QCD calculations: LO and NLO 3.Dissociation due to thermal gluons and quarks Heavy quark system at finite temperature Su Houng Lee Yonsei Univ., Korea Thank you to : Prof. D. P. Min, former collaborators and students present group: K. Ohnishi, K Morita, Y. Park, K. Kim, Y. Heo

Nonsan06 - S.H.Lee 2 대우재단 지원 핵물리학 심포지움 제 1 회 : 1988 년 8 월 16 일 설악산 관광호텔. 김정욱, 노만규, Yabu, Hwang, Kubo, 이현규, 전일동, 김병택, 김형배, 정운혁, 소광섭, 오성담 제 2 회 : 1989 년 6 월 26 일 경주 노만규, Scoccola, Yabu, Cheng, Matsui, Kajino, Bonche, Nadeau, 민동필, 이현규, 박병윤, 이강석, 김종찬, 차동욱 제 3 회 : 1990 년 8 월 8 일 서울대학교 호암생활관 Yamazaki, Yazaki, Toki, 이수형, 박병윤, 심숙이, 이석준, 김병택 제 4 회 : 1991 년 7 월 1 일 서울 남원 Pandharipande, Giraud, Soyeur, Blaizot, Zahed, Hatsuda, Heinz 제 5 회 : 1992 년 6 월 29 일 서울대학교 호암 생활관 Kubodera, Laget, Hashimoto. 김정욱, 민동필 제 6 회 : 1993 년 8 월 20 일 Gai, Hahn, Ji, Fried, Kang 민동필 제 7 회 : 1994 년 6 월 27 일 서울대학교 호암 생활관 van Kolck, Hatsuda, Forte, Karliner, Kugo, Oh, 이준규, 박병윤 제 8 회 : 1995 년 7 월 17 일 제주대학 Holstein, 노만규, 이수형, 이강석, 신상진 제 9 회 : 1996 년 8 월 19 일 전남대학교 Baym, Ko, Ji, 이철훈, 김충선, 강주환 제 10 회 : 1997 년 7 월 17 일 서울대학교 호암생활관 Brodsky, Carlson, Yamawaki, Burkardt, Mukhopadhyay, Zhitnisky, Kumano 최승호, 최호명, 제 11 회 : 1998 년 6 월 23 일 서울대학교 호암 생활관 Burgess, Berges, Robertson, Kubo, Birse, Gadiyak, Yang, 오용석, 홍순태, 김경식, 유순유, 전 일동 제 12 회 : 1999 년 5 월 26 일 경주 Brodsky, Dalley, Miller Pauli, Kunin, Kochelev, Bakker, Burkardt, Heinzl, Hiller, McCartor, Nakawaki, Morara, Sugihara, Taniguchi 황대성, 현승준, Gubankova, Itoh, Kondo, Csaki, Sannino Carlson, Ji, Kniehi 최종범, 김흥종, 최승호 Beane, 노만규, Ramos, Janik 홍순태, Hayashigaki, Lenz, deForcrand, Engelhardt 이수형, 송희성 Garvey, McKeown Peng, De Roeck 강주환 제 13 회 : 2000 년 6 월 22 일 부산대학교 Hatsuda, Nowak, 노만규, Zahed 2003 년 11 월 10 일부터 14 일까지 KIAS 에서 "Compact Stars: Quest for New States of Dense Matter" Baym, Bulgac, Bombaci, Drake, Kaplan, Kulkarni, van Kerkwijk, Weber, Blaschke, Kajita, Kubodera, Page, Prakash, Reddy, Sata, Brown, Glendenning, Hatsuda, Hsu, Rajagopal, Sannino, Schaefer, Yamazaki 노만규 박병윤, 권영준, 홍덕기, 박태선, 김수봉, 이창환,

Nonsan06 - S.H.Lee : Matsui and Satz J/  suppression 2.Nuclear and comover suppression 3.SPS data J/  suppression in Heavy Ion collision 4. Thermal enhancement 5. Lattice shows J/  survives up to 1.6 Tc (Asakawa, Hatsuda.. ) 6. Preliminary RHIC data SPS data RHIC data

Nonsan06 - S.H.Lee 4 Relevant questions in J/  suppression  need to know J/  – parton dissociation c c c c 1.N cc – 10 pair in Au+Au at RHIC 2.T i > 300 MeV in RHICl 3.c+c  g g is very small 4.J/  is formed at 1.6 T c 5.  ’ is formed at T c 6.Dissociation effects 7.Recombination effect

Nonsan06 - S.H.Lee : Asakawa and Hatsuda claimed J/  will survive up to 1.6 T c Quenched lattice calculation by Asakawa and Hatsuda using MEM T< 1.6 T c T> 1.6 T c J/  peak at 3.1 GeV J/  in Quark Gluon Plasma

Nonsan06 - S.H.Lee 6 Theoretical interpretations 1. C. H. Lee, G. Brown, M. Rho… : Deeply bound states 2. C. Y. Wong… : Deby screened potential  (GeV) Tc 1.6xTc J/  Binding energy as a function T J/  wave functions at finite T These will be used throughout this work But result is the same when is fixed

Nonsan06 - S.H.Lee 7 Progress in QCD calculations LO and NLO

Nonsan06 - S.H.Lee 8 Basics in Heavy Quark system 1. Heavy quark propagation Perturbative treatment are possible because

Nonsan06 - S.H.Lee 9 2. System with two heavy quarks Perturbative treatment are possible when

Nonsan06 - S.H.Lee 10 q 2 process expansion parameter 0 Photo production of open charm -Q 2 < 0 QCD sum rules for heavy quarks m 2 J/  > 0 Dissociation cross section of bound states Perturbative treatment are possible when

Nonsan06 - S.H.Lee 11 Historical perspective on Quarkonium Haron interaction in QCD 1. Peskin (79), Bhanot and Peskin (79) a) From OPE b) Binding energy=  0 >>  2. Kharzeev and Satz (94,96), Arleo et.al.(02,04) a) Rederive, target mass correction b) Application to J/  physics in HIC

Nonsan06 - S.H.Lee 12 Rederivation of Peskin formula using Bethe-Salpeter equation (Lee,Oh 02) Resum Bound state by Bethe-Salpeter Equation

Nonsan06 - S.H.Lee 13 NR Power counting in Heavy bound state 1. Perturbative part 2. External interaction: OPE

Nonsan06 - S.H.Lee 14 LO Amplitude Increasing T

Nonsan06 - S.H.Lee 15 Not so large, however, LO QCD result is known to underestimate nucleon absorption cross section s 1/2 (GeV) Exp data from pA Oh, Kim,SHL 02

Nonsan06 - S.H.Lee 16 Moreover, in sQGP, strong coupling (g 2 ) effects are expected near Tc

Nonsan06 - S.H.Lee 17 NLO Amplitude

Nonsan06 - S.H.Lee 18 NLO Amplitude : 11 Collinear divergence when  1 =0. Cured by mass factroization

Nonsan06 - S.H.Lee 19 Mass factorization 11 Gluons whose kcos  1 < Q scale, should be included in parton distribution function Integration of transverse momentum from zero to scale Q 11

Nonsan06 - S.H.Lee 20 NLO Amplitude :

Nonsan06 - S.H.Lee 21 Total cross section for Upsilon by nucleon: NLO vs LO Large higher order corrections Even larger correction for charmonium NLO/LO

Nonsan06 - S.H.Lee Large NLO correction near threshold, due to log terms 2. But at finite temperature, thermal masses will regulate the large correction Thermal quark and gluon masses of 300 MeV will Reduce the large correction Lessons from NLO calculation

Nonsan06 - S.H.Lee 23 NLO  +q  c+c+q NLO

Nonsan06 - S.H.Lee 24 NLO  +g  c+c+g NLO

Nonsan06 - S.H.Lee 25 Result and Summary 1.We showed that the process q(g)+J/   c+c+q(g) gives large thermal width (1 GeV) for J/  at 1.6 T c  Result depends of wave function or size 2.In heavy ion collision, as the initial QGP cools down, J/  will start forming at 1.6 T c. However, initially the dissociation from 3 body decay is very large.  J/  dissociation will become smaller only near T c

Nonsan06 - S.H.Lee 26  s = b = [GeV 2 ] m c = [GeV]  = [GeV]     blue = expt, red = theory. S*S OGE L*S OGE – L*S conft, T OGE

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