Li De-Min et al 2001 Chinese Phys. Lett. 18 184 doi:10.1088/0256-307X/18/2/310
Effects of Flavour-Dependent q
Annihilation on the Mixing Angle of the Isoscalar Octet-Singlet and Schwinger's Nonet Mass Formula
Li De-Min1, Yu Hong1,2 and Shen Qi-Xing1,2
Show affiliations 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 q annihilation effect might be a factor resulting in the invalidity of Schwinger's original nonet mass formula for the pseudoscalar nonet.
- PACS
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12.39.-x Phenomenological quark models
- Subjects
- Dates
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Issue 2 (February 2001)
Received 16 June 2000
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Effects of Flavour-Dependent q Annihilation on the Mixing Angle of the Isoscalar Octet-Singlet and Schwinger's Nonet Mass Formula
Li De-Min et al 2001 Chinese Phys. Lett. 18 184
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