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Factorizable and meson-pole contributions to hyperon nonleptonic decays
Affiliation:1. Institute of High Energy Physics, Beijing 100049, People''s Republic of China;2. Beihang University, Beijing 100191, People''s Republic of China;3. Bochum Ruhr-University, D-44780 Bochum, Germany;4. Budker Institute of Nuclear Physics SB RAS (BINP), Novosibirsk 630090, Russia;5. Carnegie Mellon University, Pittsburgh, PA 15213, USA;6. Central China Normal University, Wuhan 430079, People''s Republic of China;7. Central South University, Changsha 410083, People''s Republic of China;8. China Center of Advanced Science and Technology, Beijing 100190, People''s Republic of China;9. China University of Geosciences, Wuhan 430074, People''s Republic of China;10. Chung-Ang University, Seoul, 06974, Republic of Korea;11. COMSATS University Islamabad, Lahore Campus, Defence Road, Off Raiwind Road, 54000 Lahore, Pakistan;12. Fudan University, Shanghai 200433, People''s Republic of China;13. GSI Helmholtzcentre for Heavy Ion Research GmbH, D-64291 Darmstadt, Germany;14. Guangxi Normal University, Guilin 541004, People''s Republic of China;15. Guangxi University, Nanning 530004, People''s Republic of China;p. Hangzhou Normal University, Hangzhou 310036, People''s Republic of China;q. Hebei University, Baoding 071002, People''s Republic of China;r. Helmholtz Institute Mainz, Staudinger Weg 18, D-55099 Mainz, Germany;s. Henan Normal University, Xinxiang 453007, People''s Republic of China;t. Henan University, Kaifeng 475004, People''s Republic of China;u. Henan University of Science and Technology, Luoyang 471003, People''s Republic of China;v. Henan University of Technology, Zhengzhou 450001, People''s Republic of China;w. Huangshan College, Huangshan 245000, People''s Republic of China;x. Hunan Normal University, Changsha 410081, People''s Republic of China;y. Hunan University, Changsha 410082, People''s Republic of China;z. Indian Institute of Technology Madras, Chennai 600036, India;11. Indiana University, Bloomington, IN 47405, USA;12. INFN Laboratori Nazionali di Frascati, I-00044, Frascati, Italy;13. INFN Sezione di Perugia, I-06100, Perugia, Italy;14. University of Perugia, I-06100, Perugia, Italy;15. INFN Sezione di Ferrara, I-44122, Ferrara, Italy;16. University of Ferrara, I-44122, Ferrara, Italy;17. Inner Mongolia University, Hohhot 010021, People''s Republic of China;18. Institute of Modern Physics, Lanzhou 730000, People''s Republic of China;19. Institute of Physics and Technology, Peace Avenue 54B, Ulaanbaatar 13330, Mongolia;110. Instituto de Alta Investigación, Universidad de Tarapacá, Casilla 7D, Arica 1000000, Chile;111. Jilin University, Changchun 130012, People''s Republic of China;112. Johannes Gutenberg University of Mainz, Johann-Joachim-Becher-Weg 45, D-55099 Mainz, Germany;113. Joint Institute for Nuclear Research, 141980 Dubna, Moscow region, Russia;114. Justus-Liebig-Universitaet Giessen, II. Physikalisches Institut, Heinrich-Buff-Ring 16, D-35392 Giessen, Germany;115. Lanzhou University, Lanzhou 730000, People''s Republic of China;1p. Liaoning Normal University, Dalian 116029, People''s Republic of China;1q. Liaoning University, Shenyang 110036, People''s Republic of China;1r. Nanjing Normal University, Nanjing 210023, People''s Republic of China;1s. Nanjing University, Nanjing 210093, People''s Republic of China;1t. Nankai University, Tianjin 300071, People''s Republic of China;1u. National Centre for Nuclear Research, Warsaw 02-093, Poland;1v. North China Electric Power University, Beijing 102206, People''s Republic of China;1w. Peking University, Beijing 100871, People''s Republic of China;1x. Qufu Normal University, Qufu 273165, People''s Republic of China;1y. Renmin University of China, Beijing 100872, People''s Republic of China;1z. Shandong Normal University, Jinan 250014, People''s Republic of China;21. Shandong University, Jinan 250100, People''s Republic of China;22. Shanghai Jiao Tong University, Shanghai 200240, People''s Republic of China;23. Shanxi Normal University, Linfen 041004, People''s Republic of China;24. Shanxi University, Taiyuan 030006, People''s Republic of China;25. Sichuan University, Chengdu 610064, People''s Republic of China;26. Soochow University, Suzhou 215006, People''s Republic of China;27. South China Normal University, Guangzhou 510006, People''s Republic of China;28. Southeast University, Nanjing 211100, People''s Republic of China;29. State Key Laboratory of Particle Detection and Electronics, Beijing 100049, Hefei 230026, People''s Republic of China;210. Sun Yat-Sen University, Guangzhou 510275, People''s Republic of China;211. Suranaree University of Technology, University Avenue 111, Nakhon Ratchasima 30000, Thailand;212. Tsinghua University, Beijing 100084, People''s Republic of China;213. Turkish Accelerator Center Particle Factory Group, Istinye University, 34010, Istanbul, Turkey;214. Turkish Accelerator Center Particle Factory Group, Near East University, Nicosia, North Cyprus, 99138, Mersin 10, Turkey;215. University of Chinese Academy of Sciences, Beijing 100049, People''s Republic of China;2p. University of Groningen, NL-9747 AA Groningen, the Netherlands;2q. University of Hawaii, Honolulu, HI 96822, USA;2r. University of Jinan, Jinan 250022, People''s Republic of China;2s. University of Manchester, Oxford Road, Manchester, M13 9PL, United Kingdom;2t. University of Muenster, Wilhelm-Klemm-Strasse 9, 48149 Muenster, Germany;2u. University of Oxford, Keble Road, Oxford OX13RH, United Kingdom;2v. University of Science and Technology Liaoning, Anshan 114051, People''s Republic of China;2w. University of Science and Technology of China, Hefei 230026, People''s Republic of China;2x. University of South China, Hengyang 421001, People''s Republic of China;2y. University of the Punjab, Lahore-54590, Pakistan;2z. University of Turin, I-10125, Turin, Italy;31. University of Eastern Piedmont, I-15121, Alessandria, Italy;32. INFN, I-10125, Turin, Italy;33. Uppsala University, Box 516, SE-75120 Uppsala, Sweden;34. Wuhan University, Wuhan 430072, People''s Republic of China;35. Yantai University, Yantai 264005, People''s Republic of China;36. Yunnan University, Kunming 650500, People''s Republic of China;37. Zhejiang University, Hangzhou 310027, People''s Republic of China;38. Zhengzhou University, Zhengzhou 450001, People''s Republic of China;1. Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, 205 N. Mathews Ave., B233 NCEL, Urbana, IL 61801, USA;2. Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, 205 N. Mathews Ave., 1211 NCEL, Urbana, IL 61801, USA;1. Institute for Nuclear Theory, University of Washington, Seattle WA 91195-1550, USA;2. Paul Scherrer Institut, 5232 Villigen PSI, Switzerland;3. Physik-Institut, Universität Zürich, Winterthurerstrasse 190, 8057 Zürich, Switzerland;4. Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, 3012 Bern, Switzerland;5. INFN Laboratori Nazionali di Frascati, 00044 Frascati RM, Italy
Abstract:
All vacuum-insertion contributions to hyperon nonleptonic decays can be identified within the framework of current algebra. The contribution to the s-wave amplitude has been identified by Donoghue, Golowich, Holstein, and Ponce. His pointed out that the p-wave factorizable term for the penguin operator which is not normal-ordered emerges from the disconnected contributions to the baryon poles. This separable amplitude is shown to be equivalent to the K-meson pole in the normal-ordering representation. The inclusion of a kaon pole is thus mandatory in the normal ordering scheme, but is negligible if the weak hamiltonian is not normal-ordered.
Keywords:
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