1. F. S. N., M. Nielsen IFUSP (São Paulo) BRAZIL Charm hadronic form factors with QCD sum rules Motivation Conclusion Results on form factors Application: charmonium production QCDSR

2. interactions at RHIC and LHC Charm form factors Lin,Ko nucl-th/0210014

3. Charmonium decays in B factories Liu, Zhang, Zhu, hep-ph/0610278 X (3872)

4. interactions at FAIR Haidenbauer, Krein, Meissner, Sibirtsev arXiv:0704.3668 [nucl-th]

5. Form factors in QCD sum rules (data)

6. 2) Choose the currents: 1) Write the three-point correlation function: The QCD side (Operator Product Expansion side): 3) Insert the currents in and make the contractions:

7. 4) Perform the OPE: The hadronic side (phenomenological side): + higher resonances 5) Insert hadronic states in

8. 7) Use an effective Lagrangian to compute the amplitude: 6) Use the matrix elements: 8) Write

9. 9) Decompose in tensor structures and choose one of them: 10) Write a double dispersion relation: On both sides: 11) Identify 12) Apply a double Borel transform: double discontinuity

10. 13) Write the sum rule: 14) Numerical analysis: Numbers : Borel masses: Continuum thresholds : or

11. 15) Check Borel stability and OPE convergence: total perturbative gluon condensate off-shell

12. Exp. 16) Fix M, plot fit and extrapolate to the meson pole:

13. Correlated extrapolation of the three form factors D* D J/Psi

14. Varying M and M´ independently: Good stability ! off-shell

15. Dependence on the continuum threshold 0.6 0.5 0.4 0.6 0.5 0.4 off-shell

16. Couplings

17. Parametrizations:

18. Comments Compatibility with HQET relations : = Coupling D*-D-pion compatible with data and with lattice QCD: data lattice Oh, Lee, Song, PRC (2000) Becirevic, Charles, Le Yaouanc, L.Olivier, Pene, Raynal, (2003)

19. Oh, Lee, Song, PRC (2000) Application Charmonium production and absorption in nuclear matter

20. Application Charmonium production and absorption in nuclear matter “Charmonium regeneration”

21. withwithout with

22. Conclusion Charm form factors are still very usefull for phenomenology We can calculate them with QCDSR (finished the first round) The obtained coupling constants are of the same order of magnitude The numbers roughly agree with previous phenomenological estimates The form factors were used in one phenomenological application Charm form factors change calculations by one order of magnitude

23. References F. Carvalho et al., Phys. Rev. C72, 024902 (2005) M.E. Bracco et al., Phys. Lett. B521, 1 (2001) F.S. Navarra et al., Phys. Rev. D65, 037502 (2002) M.E. Bracco et al., Phys. Lett. B605, 326 (2005) M.E. Bracco et al., Phys. Lett. B659, 559 (2008) B. Osorio Rodrigues et al., arXiv:1003.2604 [hep-ph] R.D. Matheus et al., Int. J. Mod. Phys. E14, 555 (2005) R.D. Matheus et al., Phys. Lett. B541, 265 (2002)

24. D* D J/Psi Three different particles off-shell in the vertex

25. Pole versus continuum off-shell

26. Errors Truncation of the OPE Pole + continuum Ansatz Continuum threshold parameters corrections Values of masses and condensates Choice of Borel mass Choice of tensor structure Extrapolation to the mass shell ~ 20 % ? Medium effects

27. Borel stability in different structures:

28. 14 tensor structures Choose

29. Form factors in different structures :

30. versus

31. Couplings with vector mesons not very compatible with VDM estimates : Matinyann, Muller, PRC (1998) Oh, Lee, Song, PRC (2000)

32. P1

33. P3

35. P4

38. P5

40. Sergei G. Matinyann, Berndt Muller Phys.Rev.C58:2994-2997,1998. nucl-th/9806027 P5

41. P6

43. Kodjamirian

45. P7

46. P8

47. P10

49. Frequent questions Higher dimension condensates ? Infinities ? Killed by Imaginary Corr + Cutkosky + Borel + s0 / QHD Differences between on and off-shell ? Only Borel ? Compatible with SU(4) ? HQET ? VMD? Pole versus continuum (well defined ?) changes with Q2 ? Extension to quartic couplings ? Why the restrictions in the Q2 region ? Observable applications ? Why not smaller Q2 ? Final errors ?

50. Back ups

51. Borel stability: off-shell total perturbative quark condensate

52. bare couplings B) Meson loops with Meson loops

53. Introduce the : Calculate the loops and compute the vertex function Calculate the form factor of an off-shell D: fitted to adjust QCDSR points

55. 16) Fix M, plot fit and extrapolate to the pion pole: How to reduce the uncertainties ? Exp. CLEO, PRL 87 (2001) Coupling constant:

56. sum rules off-shell Three different particles off-shell in the vertex !

57. OPE convergence : off-shell total perturbative gluon condensate

58. J/Psi D

60. Parametrizations:

62. versus

64. off-shell

65. Parametrizations:

66. Borel stability: off-shell

67. dependence on the continuum threshold parameters

68. Parametrizations: ( other structure )

69. structure Borel stability: off-shell total perturbative quark condensate perturbative

70. Dependence on the continuum threshold parameters

71. Form factors

72. Parametrizations:

75. Borel stability: off-shell perturbative total perturbative quark condensate

76. Dependence on the continuum threshold parameters:

78. Parametrizations:

80. List of form factors

81. The gluon condensate

82. The quark condensate

83. Oh, Song, Lee, Wong, nucl-th/0205065 Charm form factors Oh, Song, Lee, Wong, nucl-th/0205065 Oh, Song, Lee, Wong, nucl-th/0010064 Liu,Ko nucl-th/070277 Phys.Rev.C75,064903

84. Conclusion Motivação D* D pi : dados, rede, mais calculos feitos, mais leve! D* D Psi: mais pesado! D D Psi e D D rho: comparação de sondas diferente ! D* D* Psi e D* D* rho: comparação de sondas diferente ! D* D rho D* D* pi Table...

85. Motivation Understand final state interactions in B decays and X(3872) decays Understand J/psi and D interactions in hadronic and nuclear matter In the strange sector:... Form factors: simple parametrizations fitted to data Monopole: Coupling constant

86. Hyperon - nucleon interactions Haidenbauer, Meissner, Nogga, Polinder, nucl-th/0702015

87. 12) Fix M, plot fit and extrapolate to the pion pole: PLB (2000)PRD (2002) Exp.

90. old 8) Check the pole dominance:

93. É difícil acreditar...

94. Compute the Lagrangian, energy-momentum tensor and obtain the EOS : But we can estimate the Laplacian :