1. A QCD evolution equation and EIC@HIAF
ZHU WEI
ECNU
WeiHai

2. vs BEPC
Parton distributions in proton and nuclei is an important knowledge for EIC
QCD evolution equation is a necessary tool for understanding parton distributions

3. Kinematic domain EIC@HIAF

4. QCD evolution equations
DGLAP x>10^{-3}, Q^2>1-4 GeV^2
GLRMQ x<10^{-2}?
BFKL x<10^{-4}?
BK x<10^{-4}?
JIMWLK x<10^{-4}, Q^2>1 GeV^2
ZRS x>10^{-4}, Q^2>0.06 GeV^2

5. Gribov, Levin and Ryskin , Mueller and Qiu

6. W.Zhu, D.L.Xue, K.M. Chai, Z.X. Xu,
Phys. Lett. B317 (1993) 200
W.Zhu, K.M.Chai, B.He,
Nucl. Phys. B427 (1994) 525
W.Zhu, K.M.Chai, B.He,
Nucl. Phys. B449 (1995) 183

10. Zhu-Shen-Ruan

11. Complete version of equation

14. L.V. Gribov, E.M. Levin and M.G. Ryskin, Phys. Rep. 100, 1 (1983).
A.H. Mueller and J. Qiu, Nucl. Phys. B268, 427 (1986)
W. Zhu, Nucl. Phys. B551, 245 (1999).
W. Zhu and J.H.Ruan, Nucl. Phys. B559, 378 (1999).
W. Zhu, Z.Q. Shen and J.H. Ruan, Nuclear Physics B 692 (2004) 417.

16. 1. First realize three valence quark input
G. Parisi and R. Petronzio, Phys. Lett. 62B, 331 (1976)
V.A. Novikov, M.A. Shifman, A.I. Vainshtein, V.I. Zakharov:JETP Len. 24 (1976) 341
M. Gluck, E. Reya: Nucl. Phys. B130, 76 (1977)
Unsuccessful

17. Input distributions

18. Why equation can work at Q^2<<1 GeV^2?

19. A bridge connecting with Chiral quark model

20. 2. Minimum free parameters

21. Typical database of PDF
Proton GRV 23 parameters+DGLAP
CTEQ 36parameters+DGLAP

22. Proton 4 free parameters

25. 3. EMC effect Add 2 free parameters

29. 4. Nuclear PDF HKM 16 free parameters EPS 24 free parameters
Our free parameters

31. 5. Quark saturation

33. Quark saturation has similar properties as JIMWLK saturation

34. JIMWLK saturation (gluon)

37. 6. Nuclear shadowing saturation

40. Next step in EIC@HIAF PDF database for proton nPDF database for nuclei
Spin-dependent PDF
PDF for pion and kaon
SRC
Antishadowing
TMD…….