On the Structure of Reggeon

PENG Hong-An; HE Zhen-Min; GAO Yong-Hua; YAN Zhan-Yuan; DUANG Chun-Gui

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2005, Vol. 29> Issue(4) : 337-344

On the Structure of Reggeon

Department of Physics,Peking University,Beijing 100871,China2 Department of Physics,Hebei Teachers’University,Shijiazhuang 050016,China3 Institute of Physics,Shijiazhuang College,Shijiazhuang 050801,China4 Department of Physics,North-China Electric Power University,Baoding,071003,China

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Abstract：
Starting from the point-view that the constituent quark has its own inner structure and according to the hypothesis of the maximum non-perturbative strong interaction reaction which should be obeyed in high energy strong-soft Processes ,we proposed a structure model of the Reggeon(R). In such processes a pair of constituent quark-antiquark in colliding hadrons would individually desociate with certain probahility into a non-perturbative gluon and a spinor-like cluster firstly. The spinor-like clusters will further emit non-perturbative gluons and then annihilate each other. Corresponding to such mechanism the relevant structure of R in the field theory can be represented by summing over a set of cutting ladder diagrams, where the vertical lines are the propagators of spinor-like clusters and the rungs are non-perturbative gluons. In the multi-Regge region where the energy of the system is very large and its momentum transfer│t│is very small, under the approximation that only the leading order logarithm terms of s are preserved, the scattering amplitudes for these cutting ladder diagrams are derived and summed. Thus, a compact formula of the typical Regge pole trajectory of mesons which are composed of light quarks is obtained.

References

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. Collions P D B. An Introduction to Regge Theory and High Energy Physics. Cambridge : Cambridge University Press , 19772.　Fadin V S ,Kuraev E A ,Lipatov L N. Sov. Phys. Jetp. ,1976 ,44 ;Bal-itsky Y Y,Lipatov L N. Sov. J . Nucl . Phys. ,1978 ,28 :8223.　Perl M L. High Energy Hadron Physics. New York : John Wiley and Sons ,Inc. , 19744.　PENG H A , XING X W,LIU L S. High Energy Phys. and Nucl .Phys. , 2005 , 29 :224 (in Chinese)(彭宏安,邢秀文,刘连寿. 高能物理与核物理,2005 , 29 :224)5.　PENG H A et al . High Energy Phys. and Nucl . Phys. , 2002 ,26(7) :658(in Chinese)(彭宏安等. 高能物理与核物理,2002 , 26 (7) :658)6.　Landshoff P V ,Nachtmann O. Z. Phys. ,1987 ,C35 :4057.　Forshaw J R ,Ross D A. Quantum Chromodynamics and the Pomeron.Cambridge : Cambridge University Press , 1997

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PENG Hong-An, HE Zhen-Min, GAO Yong-Hua, YAN Zhan-Yuan and DUANG Chun-Gui. On the Structure of Reggeon[J]. Chinese Physics C, 2005, 29(4): 337-344.

PENG Hong-An, HE Zhen-Min, GAO Yong-Hua, YAN Zhan-Yuan and DUANG Chun-Gui. On the Structure of Reggeon[J]. Chinese Physics C, 2005, 29(4): 337-344. shu

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Received: 2004-08-02
Revised: 2004-10-10

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1.
沈阳化工大学材料科学与工程学院沈阳 110142

On the Structure of Reggeon

Corresponding author: PENG Hong-An,

Department of Physics,Peking University,Beijing 100871,China2 Department of Physics,Hebei Teachers’University,Shijiazhuang 050016,China3 Institute of Physics,Shijiazhuang College,Shijiazhuang 050801,China4 Department of Physics,North-China Electric Power University,Baoding,071003,China

Received Date: 2004-08-02
Accepted Date: 2004-10-10
Available Online: 2005-04-05

Abstract: Starting from the point-view that the constituent quark has its own inner structure and according to the hypothesis of the maximum non-perturbative strong interaction reaction which should be obeyed in high energy strong-soft Processes ,we proposed a structure model of the Reggeon(R). In such processes a pair of constituent quark-antiquark in colliding hadrons would individually desociate with certain probahility into a non-perturbative gluon and a spinor-like cluster firstly. The spinor-like clusters will further emit non-perturbative gluons and then annihilate each other. Corresponding to such mechanism the relevant structure of R in the field theory can be represented by summing over a set of cutting ladder diagrams, where the vertical lines are the propagators of spinor-like clusters and the rungs are non-perturbative gluons. In the multi-Regge region where the energy of the system is very large and its momentum transfer│t│is very small, under the approximation that only the leading order logarithm terms of s are preserved, the scattering amplitudes for these cutting ladder diagrams are derived and summed. Thus, a compact formula of the typical Regge pole trajectory of mesons which are composed of light quarks is obtained.