A QCD evolution equation and

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Presentation transcript:

A QCD evolution equation and EIC@HIAF ZHU WEI ECNU 2013.7. WeiHai

EIC@HIAF 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

Kinematic domain EIC@HIAF

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

Gribov, Levin and Ryskin , Mueller and Qiu

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

Zhu-Shen-Ruan

Complete version of equation

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.

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

Input distributions

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

A bridge connecting with Chiral quark model

2. Minimum free parameters

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

Proton 4 free parameters

3. EMC effect Add 2 free parameters

4. Nuclear PDF HKM 16 free parameters EPS 24 free parameters Our 2 free parameters

5. Quark saturation

Quark saturation has similar properties as JIMWLK saturation

JIMWLK saturation (gluon)

6. Nuclear shadowing saturation

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