Dynamical Structure of Hadron Emission Sources

  • NA22 experimental data of the triplet seagull effects show that the Doppler effects of the hadron emission sources exist exactly in the hadron-hadron collisions. Every source possesses the same average energy (CMS) approximately. The collective seagulleffects can be also explained by the (aQ)vKv (aQ) distributions (Generalized functions). The dynamical structure of a hadron emission source is discribed by the (aQ)vKv (aQ) distributions. The anomalous dimensions of the picnic quantum fields are rB(gR) =-0.045±0.012, which control the singularities of the production amplitude in quantum field theory. The mathematical parameter= 4-D (the dimension D of space time) in the Feynman integrals can be replaced by the anomalous rB (gR) of the quantum fields for the regularization. (-2rB (gR)ε/2=1/1n(A2/m2)A→∞).
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  • [1] Clifford T S et al. Phys. Rev. Lett., 1975, 34:978 2 Anderson E W et al. Phys. Rev. Lett., 1975, 34:294 3 Agababyan N M et al. Z. Phys., 1993, C59: 1954 ZHAO Xi et al. Journal of Yunnan University, 1998,4:3075 CHEN ShuQiao et al. Journal of Yunnan University, 1998,4:298 6 ZHAO ShuSong, PENG ShouLi. Chinese Science Bulletin, 1986,6:371 7 DAO F T et al. Phys. Rev. Lett., 1974,33:3898 ZHAO ShuSong, YANG QingWen. Journal of Yunnan University (in Chinese), 1988, 10: 14(赵树松,杨庆文,云南大学学报,1988,10:14) 9 LONG JiaLi, LI Ling, ZHAO ShuSong. Journal of Yunnan University, 1998,4:289 10 ZHAO ShuSong. Journal of Yunnan University (in Chinese), 1986, 1:62(赵树松,云南大学学报,1986,1:62)11 ZHAO ShuSong, PENG ShouLi. Chinese Science Bulletin, 1986,3: 161 12 Landau L D. The Theory of Fields. Beijing: Advanced Education Press, 1959. 256,41(朗道,场论,北京:高教出版社,1959,256,41)13 ZHAO ShuSong, Kittle W. Chinese Science Bulletin, 1990,22: 1862 14 ZHA ShuSong, Multiparticle Production, Proc. of the Shandong Workshop, Jinan, Shandong, China, June 28–July 6, 1987, Ed. by Hua R C, XIE QuBing, p. 497–50415 ZHAO ShuSong et al. Journal of Guangxi Normal University (in Chinese), 1992, 4:24(赵树松等,广西师大学报,1992,4:24) 16 DAI QiRun, ZHAO ShuSong. Acta Physics Sinica (in Chinese), 1995,8: 1203(戴启润,赵树松.物理学报,1995,8:1203)17 DAI QiRun et al. High Energy Phys. and Nucl. Phys. (in Chinese), 1996, 11: 1014(戴启润等,高能物理与核物理,1996,11:1014)18 ZHAO ShuSong, XIE YiGang. Journal of Yunnan University (in Chinese), 1989, 1: 15(赵树松,谢一冈,云南大学学报,1989,1:15) 19 ZHAO ShuSong, PENG ShouLi. Chinese Science Bulletin, 1981, 11:197720 ZHAO ShuSong. Journal of Yunnan University, 1998, 4:237 21 Erdelyi A. Higher Transcendental Function (Vol. II). McGraw–Hilbok Co. INC. 1953,Chapt 7(爱尔合里,高级超越函数(第二册)北京:科学出版社,1958,第七章)22 GEL'FAND I M, SHILOV G E. Generalized Functions. Academic Press, New York and London, 1964, 198; 313–326(IM盖尔芳特,G E希洛夫,广义函数,北京:科学出版社,1965 320–338;1–98) 23 ФИАbЛОВ A.ф. Exercise Collection of Normal Differential Equation(A ф菲利波夫.常微分方程习题集,孙广成,张德厚译,上海科技出版社,1979. 63)24 ZHAO ShuSong,FENG YuXing,REN Yong Yi.Joumal of Yunnan University,1992,3:282(赵树松,冯育新,任永毅,云南大学学报,1992,3:282) 25 Huber G M.et al Phys.Rev.Lett,1998,80:52526 Nash C. Relativistic Quantum Fields.London:Academic Press,1978.63–118
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ZHAO Xi, HUANG BangRong and ZHAO ShuSong. Dynamical Structure of Hadron Emission Sources[J]. Chinese Physics C, 2000, 24(11): 1011-1017.
ZHAO Xi, HUANG BangRong and ZHAO ShuSong. Dynamical Structure of Hadron Emission Sources[J]. Chinese Physics C, 2000, 24(11): 1011-1017. shu
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Received: 1999-08-27
Revised: 1900-01-01
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Dynamical Structure of Hadron Emission Sources

    Corresponding author: ZHAO ShuSong,
  • Department of Physics, Yunnan University. Kunming 650091, China

Abstract: NA22 experimental data of the triplet seagull effects show that the Doppler effects of the hadron emission sources exist exactly in the hadron-hadron collisions. Every source possesses the same average energy (CMS) approximately. The collective seagulleffects can be also explained by the (aQ)vKv (aQ) distributions (Generalized functions). The dynamical structure of a hadron emission source is discribed by the (aQ)vKv (aQ) distributions. The anomalous dimensions of the picnic quantum fields are rB(gR) =-0.045±0.012, which control the singularities of the production amplitude in quantum field theory. The mathematical parameter= 4-D (the dimension D of space time) in the Feynman integrals can be replaced by the anomalous rB (gR) of the quantum fields for the regularization. (-2rB (gR)ε/2=1/1n(A2/m2)A→∞).

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