Meson mass formula in broken SUN symmetry and its applications

✍ Scribed by H. Hayashi; I. Ishiwata; S. Iwao; M. Shako; S. Takeshita

• Book ID: 102986938
• Publisher: Elsevier Science
• Year: 1976
• Tongue: English
• Weight: 881 KB
• Volume: 101
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(76)90017-8

✦ Synopsis

Group theory of SU, and SU, symmetry is developed explicitly. Meson mass formula of Borchardt-Mathur-Gkubo type is generalized to broken SUN in a form suitable for computer calculation. The result is applied to SU, and SU6 cases, by assuming two possible assignments: (1) 3.95 or upsilon 5.97 GeV is the new lowest state of Jpc = l-member of SU, symmetry, and (2) 3.95 and 5.97 GeV states are new l--members of SU, and SU, , respectively. The derived wave functions and other consistency checks *do not exclude above two possibilities in the sense of currently accepted Okubo-Zweig-Iizuka rule. A further check of the validity of the model in future experiments is suggested from a close examination of the group theoretical structures studied in this paper and available information.