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Effects of Flavour-Dependent qq Annihilation on the Mixing Angle of the Isoscalar Octet--Singlet and Schwinger’s Nonet Mass Formula
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| LI De-Min1;YU Hong1,2;SHEN Qi-Xing1,2 |
| 1Institute of High Energy Physics, Chinese Academy of
Sciences, Beijing 100039
2Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080
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| Cite this article: |
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LI De-Min, YU Hong, SHEN Qi-Xing 2001 Chin. Phys. Lett. 18 184-186 |
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Abstract By incorporating the flavour-dependent quark--antiquark annihilation amplitude into the mass-squared matrix describing the mixing of the isoscalar states of a meson nonet, the new version of Schwinger's nonet mass formula, which holds with a high accuracy for the 0-+, 1--, 2++, 2-+ and 3-- nonets, is derived and the mixing angle of the isoscalar octet--singlet for these nonets is obtained. In particular, the mixing angle of the isoscalar octet--singlet for the pseudoscalar nonet is determined to take the value of -12.92°, which is in agreement with the value range from -13° to -17° deduced from a rather exhaustive and up-to-date analysis of data. It is also pointed out that the omission of the flavour-dependent qq annihilation effect might be a factor resulting in the invalidity of Schwinger’s original nonet mass formula for the pseudoscalar nonet.
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| Keywords:
11.30.Hv
12.40.Yx
14.40.-n
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Published: 01 February 2001
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