T-matrix approach to quarkonium correlation functions in the quark-gluon plasma

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 76, Issue 11, 2007, Pages

  Cabrera, D ^a   Rapp, R ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 37349059955     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.76.114506     Document Type: Article

References (49)

1. N. Brambilla, arXiv:hep-ph/0412158.
2. M. Asakawa and T. Hatsuda, Phys. Rev. Lett. 92, 012001 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.012001
3. S. Datta, F. Karsch, P. Petreczky, and I. Wetzorke, Phys. Rev. D 69, 094507 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.69.094507
4. T. Umeda, K. Nomura, and H. Matsufuru, Eur. Phys. J. C 39S1, 9 (2005). EPCFFB 1434-6044 10.1140/epjcd/s2004-01-002-1
5. R. Morrin, A.P. Ó Cais, M.B. Oktay, M.J. Peardon, J.I. Skullerud, G. Aarts, and C.R. Allton, Proc. Sci., LAT2005 (2006) 176. 1824-8039
6. K. Petrov, A. Jakovac, P. Petreczky, and A. Velytsky, Proc. Sci., LAT2005 (2006) 153. 1824-8039
7. E.V. Shuryak and I. Zahed, Phys. Rev. C 70, 021901 (2004). PRVCAN 0556-2813 10.1103/PhysRevC.70.021901
8. C.Y. Wong, Phys. Rev. C 72, 034906 (2005). PRVCAN 0556-2813 10.1103/PhysRevC.72.034906
9. W.M. Alberico, A. Beraudo, A. De Pace, and A. Molinari, Phys. Rev. D 72, 114011 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.114011
10. A. Mocsy and P. Petreczky, Phys. Rev. D 73, 074007 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.73.074007
11. M. Mannarelli and R. Rapp, Phys. Rev. C 72, 064905 (2005). PRVCAN 0556-2813 10.1103/PhysRevC.72.064905
12. L. Grandchamp, R. Rapp, and G.E. Brown, Phys. Rev. Lett. 92, 212301 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.212301
13. L. Grandchamp, S. Lumpkins, D. Sun, H. van Hees, and R. Rapp, Phys. Rev. C 73, 064906 (2006). PRVCAN 0556-2813 10.1103/PhysRevC.73.064906
14. R. Rapp, Eur. Phys. J. A 18, 459 (2003). EPJAFV 1434-6001 10.1140/epja/i2002-10259-5
15. A. Mocsy and P. Petreczky, Eur. Phys. J. C 43, 77 (2005). EPCFFB 1434-6044 10.1140/epjc/s2005-02161-9
16. O. Kaczmarek and F. Zantow, Phys. Rev. D 71, 114510 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.114510
17. R. Blankenbecler and R. Sugar, Phys. Rev. 142, 1051 (1966). PHRVAO 0031-899X 10.1103/PhysRev.142.1051
18. M.I. Haftel and F. Tabakin, Nucl. Phys. A158, 1 (1970). NUPABL 0375-9474
19. Z. Aouissat, R. Rapp, G. Chanfray, P. Schuck, and J. Wambach, Nucl. Phys. A581, 471 (1995). NUPABL 0375-9474 10.1016/0375-9474(94)00429-Q
20. M. Schmidt, G. Röpke, and H. Schulz, Ann. Phys. (N.Y.) APNYA6 0003-4916 202, 57 (1990). 10.1016/0003-4916(90)90340-T
21. We note that in the calculation of spectral and correlation functions in Sec. 4, the T-matrix (and thus the potential) will only enter fully off-shell and therefore no recourse is taken to any on-shell prescription, cf. Eq. 17.
22. M. Mannarelli, H. van Hees, and R. Rapp (unpublished).
23. H. van Hees and R. Rapp, Phys. Rev. C 71, 034907 (2005). PRVCAN 0556-2813 10.1103/PhysRevC.71.034907
24. H. van Hees, V. Greco, and R. Rapp, Phys. Rev. C 73, 034913 (2006). PRVCAN 0556-2813 10.1103/PhysRevC.73.034913
25. S. Digal, P. Petreczky, and H. Satz, Phys. Rev. D 64, 094015 (2001). PRVDAQ 0556-2821 10.1103/PhysRevD.64.094015
26. P. Petreczky and K. Petrov, Phys. Rev. D 70, 054503 (2004); PRVDAQ 0556-2821 10.1103/PhysRevD.70.054503
27. P. Petreczky (private communcation).
28. O. Kaczmarek and F. Zantow, arXiv:hep-lat/0506019.
29. C.Y. Wong and H.W. Crater, Phys. Rev. D 75, 034505 (2007). PRVDAQ 0556-2821 10.1103/PhysRevD.75.034505
30. H. Satz, arXiv:hep-ph/0602245.
31. G.S. Bali, H. Neff, T. Duessel, T. Lippert, and K. Schilling (SESAM Collaboration), Phys. Rev. D 71, 114513 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.114513
32. G.E. Brown, Philos. Mag. PHMAA4 0031-8086 43, 467 (1952).
33. Strictly speaking, F(E) is not a purely real function since we have included a small imaginary part in the two-particle propagator. More precisely, the bound-state condition, Eq. 7, reads Re{det F(E)}=0. We are plotting Re{det F(E)} in Figs. 2 3 4 7.
34. C.Y. Wong, Phys. Rev. C 76, 014902 (2007). PRVCAN 0556-2813 10.1103/PhysRevC.76.014902
35. F. Karsch, M.G. Mustafa, and M.H. Thoma, Phys. Lett. B 497, 249 (2001). PYLBAJ 0370-2693 10.1016/S0370-2693(00)01322-8
36. W.M. Alberico, A. Beraudo, and A. Molinari, Nucl. Phys. A750, 359 (2005). NUPABL 0375-9474 10.1016/j.nuclphysa.2004.12.070
37. G.T. Bodwin, E. Braaten, and G.P. Lepage, Phys. Rev. D 51, 1125 (1995); PRVDAQ 0556-2821 10.1103/PhysRevD.51.1125
38. G.T. Bodwin E. Braaten G.P. Lepage Phys. Rev. D 55, 5853(E) (1997). PRVDAQ 0556-2821 10.1103/PhysRevD.55.5853
39. D. Gromes, Z. Phys. C 26, 401 (1984). ZPCFD2 0170-9739 10.1007/BF01452566
40. A. Gara, B. Durand, L. Durand, and L.J. Nickisch, Phys. Rev. D 40, 843 (1989). PRVDAQ 0556-2821 10.1103/PhysRevD.40.843
41. E.V. Shuryak, Rev. Mod. Phys. 65, 1 (1993). RMPHAT 0034-6861 10.1103/RevModPhys.65.1
42. R. Rapp, D. Cabrera, and H. van Hees, arXiv:nucl-th/0608033.
43. D. Cabrera and R. Rapp, Eur. Phys. J. A 31, 858 (2007). EPJAFV 1434-6001 10.1140/epja/i2006-10237-y
44. H. Iida, T. Doi, N. Ishii, H. Suganuma, and K. Tsumura, Phys. Rev. D 74, 074502 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.74.074502
45. T. Umeda, Phys. Rev. D 75, 094502 (2007). PRVDAQ 0556-2821 10.1103/PhysRevD.75.094502
46. A. Mocsy and P. Petreczky, arXiv:0705.2559.
47. W.M. Alberico, A. Beraudo, A. De Pace, and A. Molinari, arXiv:0706.2846.
48. L. Grandchamp and R. Rapp, Phys. Lett. B 523, 60 (2001). PYLBAJ 0370-2693 10.1016/S0370-2693(01)01311-9
49. R. Machleidt, Adv. Nucl. Phys. 19, 189 (1989). ANUPBZ 0065-2970