# Vector meson electroproduction in QCD

• Based on the generalized QCD vector meson dominance model, we study the electroproduction of a vector meson off a proton in the QCD inspired eikonalized model. Numerical calculations for the total cross section σtot and differential cross section dσ/dt are performed for ρ, ω and φ meson electroproduction in this paper. Since gluons interact among themselves (self-interaction), two gluons can form a glueball with quantum numbers IG,JPC=0+,2++, decay width Γt≈100 MeV, and mass of mG=2.23 GeV. The three gluons can form a three-gluon colorless bound state with charge conjugation quantum number C=-1, called the Odderon. The mediators of interactions between projectiles (the quark and antiquark pair fluctuated from the virtual photon) and the proton target (a three-quark system) are the tensor glueball and the Odderon. Our calculated results in the tensor glueball and Odderon exchange model fit to the existing data successfully, which evidently shows that our present QCD mechanism is a good description of meson electroproduction off a proton. It should be emphasized that our mechanism is different from the theoretical framework of Block et al. We also believe that the present study and its success are important for the investigation of other vector meson electro- and photoproduction at high energies, as well as for searching for new particles such as tensor glueballs and Odderons, which have been predicted by QCD and the color glass condensate model (CGC). Therefore, in return, it can test the validity of QCD and the CGC model.
PCAS:
•  [1] Chekanov1 S, Derrick M, Magill S et al. (Zeus collaboration). PMC Physics A, 2007, 1: 6[2] Breitweg J et al. (Zeus collaboration). Eur. Phys. J. C, 1998, 2: 247; Dosch H G, Fereira E. Eur. Phys. J. C, 2007, 51: 83-101[3] H1prelim-06-011, Pressted in DIS-2006, Tsukuba, Japan, April 2006[4] LU Juan, ZHOU Li-Juan. Chinese Physics C (HEP NP), 2010, 34: 465[5] Block M M, Cahn R N. Rev. Mod. Phys., 1985, 57: 563[6] Block M M, Gregores E M, Halzen F et al. Phys. Rev. D, 1999, 60: 054024. e-Print Archive: hep-ph/9809403[7] Block M M, Halzen F, Pancheri G. e-Print Archive: hep-ph/0111046[8] Glauber R J. Lectures in Theorectical Physics. Edited by Brittin W, Dunham L G. New York: Interscience, 1959, 1: 315[9] Eden R J. High Energy Collisions of Elementary particle. Cambridge: Cambridge University Press, England, 1967[10] LU Juan, MA Wei-Xing, HE Xiao-Rong. Commun. Theor. Phys., 2007, 47: 715[11] LU Juan, MA Wei-Xing, HE Xiao-Rong. Commun. Theor. Phys., 2008, 49: 207[12] Bauer T H et al. Rev. Mod. Phy., 1978, 50: 261

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LU Juan, CAI Xian-Hao and ZHOU Li-Juan. Vector meson electroproduction in QCD[J]. Chinese Physics C, 2012, 36(8): 697-702. doi: 10.1088/1674-1137/36/8/003
LU Juan, CAI Xian-Hao and ZHOU Li-Juan. Vector meson electroproduction in QCD[J]. Chinese Physics C, 2012, 36(8): 697-702.
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沈阳化工大学材料科学与工程学院 沈阳 110142

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## Vector meson electroproduction in QCD

###### Corresponding author: LU Juan,

Abstract: Based on the generalized QCD vector meson dominance model, we study the electroproduction of a vector meson off a proton in the QCD inspired eikonalized model. Numerical calculations for the total cross section σtot and differential cross section dσ/dt are performed for ρ, ω and φ meson electroproduction in this paper. Since gluons interact among themselves (self-interaction), two gluons can form a glueball with quantum numbers IG,JPC=0+,2++, decay width Γt≈100 MeV, and mass of mG=2.23 GeV. The three gluons can form a three-gluon colorless bound state with charge conjugation quantum number C=-1, called the Odderon. The mediators of interactions between projectiles (the quark and antiquark pair fluctuated from the virtual photon) and the proton target (a three-quark system) are the tensor glueball and the Odderon. Our calculated results in the tensor glueball and Odderon exchange model fit to the existing data successfully, which evidently shows that our present QCD mechanism is a good description of meson electroproduction off a proton. It should be emphasized that our mechanism is different from the theoretical framework of Block et al. We also believe that the present study and its success are important for the investigation of other vector meson electro- and photoproduction at high energies, as well as for searching for new particles such as tensor glueballs and Odderons, which have been predicted by QCD and the color glass condensate model (CGC). Therefore, in return, it can test the validity of QCD and the CGC model.

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