On the Structure of Reggeon

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

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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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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通讯作者: 陈斌, bchen63@163.com

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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.

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On the Structure of Reggeon

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