Sign of φ-ω Mixing and the OZI Rule

• Main Authors: Ko, Cheng-Ying, 柯澄瑛
• Other Authors: Hou Wei-Shu
• Format: Others
• Language: zh-TW
• Published: 1997
• Online Access: http://ndltd.ncl.edu.tw/handle/46525501588047294921

碩士 === 國立臺灣大學 === 物理學系 === 85 === We try to understand the dynamical origin of OZI violation. The earlier works including gluonic annihilation and meson rescattering pictures are reviewed. With the rising value of the vector glueball(O) mass, we find that a new viewpoint could be taken: the smallness of $\phi-\omega$ mixing is related to the heaviness of O! A difficulty arises with the sign of the $\phi- \omega$ mixing fromthis model when comparing to experiments. This is solved by redefining the $\phi_0$ state from $s\bar s \rightarrow-s\bar s$ and modifying the mass matrix. We find that Nature chooses this relative sign of $-s\bar s$ for $\phi$ as compared to$\omega\cong(u\bar u+d\bar d)/\sqrt{2}$, if the O dominance pictureis correct. There is a leftover problem with $\rho-\omega$ mass difference, but no other mechanism seems to give any appropriate solution. Perhaps it could be explained by tuning of meson rescattering.