,Effects of Flavour-Dependent qq Annihilation on the Mixing Angle of the Isoscalar Octet-Singlet and

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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 Schwingers nonet mass formula,N which holds with a high accuracy for the 0-+, 1--, 2++, 2-+ and 3-- nonets, is derived and the mixing angle of theisoscalar octet-singlet for these honets 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 fiom -13° to -17° deduced fiom 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 Schwingers original honet mass formula for the pseudoscalar nonet.
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