On the Structure of Soft Pomeron

  • 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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  • [1] . Collins P D B. An Introduction to Regge Theory and High Energy Physics. Cambridge University Press, 19772. Fadin V S, Kuraev E A, Lipatov L N. Sov. Phys. JETP, 1976, 44:443; Bal itsky Y Y, Lipat ov L N. Sov. J. Nucl . Phys. 1978, 28: 8223. Forshaw J R, Ross D A. Quantum Chromodynamics and the Pomeron.Cambrideg University Press, 19974. Landshoff P V, Nachtmann O. Zeit Phys. , 1987, C35: 4055. Landshoff P V, Polkinghorne J C. Nucl . Phys. , 1970, B32: 541;Donnachie A, Landshoff P V. Phys. Lett. , 1992, B296: 2276. Donnachie A, Landshoff P V. Nucl. Phys. , 1988, B303: 634; 1988/1989, B311: 599; Phys. Lett. , 1987, B191: 309; 1987, B185: 4037. PENG H A et al. HEP NP, 2002, 26: 6588. Ross D A. J. Phys. G: Nucl. Part , Phys. , 1989, 15: 11759. Altarelli G et al. Nucl. Phys. , 1974, B69: 468; Hwa R C. Phys.Rev. , 1980, D22: 75910. Chew G F. S-Matrix Theory of Strong Interact ion Benjamin. New York,196111. PENG H A et al. HEP NP, 2002, 26: 747 (in Chinese)(彭宏安等,高能物理与核物理,2002, 26:747)12. PENG H A, DUAN C G, YAN Z Y. Acta. Physica Sinica, 2004, 53:2478 (in Chinese)(彭宏安,段春贵,阎占元,物理学报,2004l, 53: 2478)
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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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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

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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