On the Structure of Soft Pomeron

PENG Hong-An; XING Xiu-Wen; LIU Lian-Shou

Chinese Physics C> 2005, Vol. 29> Issue(3) : 224-231

On the Structure of Soft Pomeron

Institute of Theoretical Physics,Pekin University,Beijing 100871,China2 Institute of Particle Physics,Huaznong Normal University,Wuhan 430079

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We have modified the field theory of soft Pomeron proposed by Landshoff and Nachtmann. Starting from the viewpoint that the constituent quark has its own structure and according to the hypothesis of the maximum non-perturbative strong interaction reactions, which should be obeyed in high energy strong soft processes, we proposed a new structure model for the soft Pomeron. A pair of constituent quarks of colliding hadrons in such processes will be resolved into a bare quark (or antiquark) and a lot of non-perturbative gluons (and quark pairs). Corresponding to such mechanism, the relevant structure of soft Pomeron is represented by the sum of a series of cutting ladder diagrams. In the multi-Regge region, where the energy s of the system is very large and its momentum transfer |t| is very small, and in the approximation where only the leading logarithm order of s are preserving, we have calculated the q-q (q) scattering amplitude and its total cross section from the sum of such ladder diagrams. The factor of Regge behavior in the exponential power law of s does arise in it. We also get a compact formula for the trajectory of soft Pomeron in our model. Some short discussions about the application for our approach to other strong-soft processes are mentioned.

References

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PENG Hong-An, XING Xiu-Wen and LIU Lian-Shou. On the Structure of Soft Pomeron[J]. Chinese Physics C, 2005, 29(3): 224-231.

PENG Hong-An, XING Xiu-Wen and LIU Lian-Shou. On the Structure of Soft Pomeron[J]. Chinese Physics C, 2005, 29(3): 224-231. shu

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Received: 2004-07-02
Revised: 1900-01-01

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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 Soft Pomeron

Corresponding author: LIU Lian-Shou,

Institute of Theoretical Physics,Pekin University,Beijing 100871,China2 Institute of Particle Physics,Huaznong Normal University,Wuhan 430079

Received Date: 2004-07-02

Accepted Date: 1900-01-01

Available Online: 2005-03-05

Abstract: We have modified the field theory of soft Pomeron proposed by Landshoff and Nachtmann. Starting from the viewpoint that the constituent quark has its own structure and according to the hypothesis of the maximum non-perturbative strong interaction reactions, which should be obeyed in high energy strong soft processes, we proposed a new structure model for the soft Pomeron. A pair of constituent quarks of colliding hadrons in such processes will be resolved into a bare quark (or antiquark) and a lot of non-perturbative gluons (and quark pairs). Corresponding to such mechanism, the relevant structure of soft Pomeron is represented by the sum of a series of cutting ladder diagrams. In the multi-Regge region, where the energy s of the system is very large and its momentum transfer |t| is very small, and in the approximation where only the leading logarithm order of s are preserving, we have calculated the q-q (q) scattering amplitude and its total cross section from the sum of such ladder diagrams. The factor of Regge behavior in the exponential power law of s does arise in it. We also get a compact formula for the trajectory of soft Pomeron in our model. Some short discussions about the application for our approach to other strong-soft processes are mentioned.

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On the Structure of Soft Pomeron

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