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

[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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[2]	LI Lin , WU Xiang-Yao , HUANG Tao . B→KK Decays with the Soft-Gluon Corrections. Chinese Physics C, 2003, 27(8): 678-682.
[3]	ZHOU Li-Juan , MA Wei-Xing , . On the Tensor Glueball Content of Soft Pomeron. Chinese Physics C, 2003, 27(10): 857-865.
[4]	ZHANG Wei-Ning , TANG Gui-Xin , ZHANG Sheng , CHEN Xiang-Jun , HUO Lei , LIU Yi-Ming . Analysis of Multiparticle Bose-Einstein Correlations for QGP Hadronization. Chinese Physics C, 2001, 25(3): 237-243.
[5]	ZHAO Xi , HUANG BangRong , ZHAO ShuSong . Dynamical Structure of Hadron Emission Sources. Chinese Physics C, 2000, 24(11): 1011-1017.
[6]	Feng Shengzu , Ruan Tunan . Comments on the Bosonnization Technique of Fermions. Chinese Physics C, 1999, 23(11): 1119-1124.
[7]	Yu Zhaoxian , Zhang Dexing , Liu Yehou . Algebraic Structure of Two-Parameter Deformed Multi-mode Bose Operators and Their Applications (Ⅱ). Chinese Physics C, 1998, 22(1): 28-33.
[8]	Yu Zhaoxian , Zhang Dexing , Liu Yehou . Algebraic Structure of Two-Parameter Deformed Multi-mode Bose Operators and Their Applications (Ⅲ). Chinese Physics C, 1998, 22(3): 225-233.
[9]	Yu Zhaoxian , Zhang Dexing , Liu Yehou . Algbraic Structure of Two-Parameter Deformed Multi-Mode Bose Operators and Their Applications (Ⅰ). Chinese Physics C, 1997, 21(11): 999-1004.
[10]	Liu Feng(Y) , Liu Feng . Comparison of the Hard and Soft Processes in High Energy Hadron-Hadron Colisions. Chinese Physics C, 1997, 21(4): 330-339.
[11]	Liu Yaoyang , Jiang Xiangdong , Zhou Jiange . A Quark Model Including Lepton Structure. Chinese Physics C, 1996, 20(10): 900-912.
[12]	Zhang Weining , Liu Yiming , Huo Lei , Jiang Yuzhen . Multiparticle Bose Correlations: Probes for Granular Source of Quark-Glunon-Plasma Droplets. Chinese Physics C, 1995, 19(2): 148-155.
[13]	Cao Zhen , Ding Linkai . Chou-Yang Model for the Description of Ultrahigh Energy Soft Hadronic Interactions. Chinese Physics C, 1994, 18(11): 990-995.
[14]	YU Yue . SYMPLECTIC STRUCTURES AND QUANTIZATION FOR BOSONIC STRINGS IN BRST FORMALISM. Chinese Physics C, 1989, 13(1): 92-96.
[15]	BAO Cheng-Guang , WANG Ru-Lin , PAN Ji-Zhi . REGROUPING CYCLE STRUCTURE IN THE ANTISYMMETRIZER AND A THEORY OF BOSON MAPPING. Chinese Physics C, 1987, 11(4): 483-490.
[16]	ZOU Bao-Tang , YU Shou-Mian . PION CLOUD MIT-BAG MODEL OF HADRON STRUCTURE. Chinese Physics C, 1984, 8(5): 523-530.
[17]	XIE Qu-Bing . THE COLLIDING COMPONENT IN SOFT HADRONIC INTERACTIONS. Chinese Physics C, 1984, 8(3): 306-315.
[18]	XU De-Zhi . A STRUCTURE MODEL OF STRATONS AND LEPTONS. Chinese Physics C, 1983, 7(5): 546-549.
[19]	CHEN YONG-SHOU , ZHENG YU-MING , LU ZHAO-QI . THE SUB-BODY CORRELATION IN THE CHAIN-LIKE MOLECULAR STRUCTURE STATE. Chinese Physics C, 1979, 3(4): 494-500.
[20]	SHEN QI-XING , HUANG TAO . THE PSEUDOSCALAR GLUON AND THE HADRON STRUCTURE. Chinese Physics C, 1979, 3(3): 277-284.

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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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