- Autor(in)
- Referenz
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1 Rosenfeld, A. H., et al., Rev. mod. Phys., 42 (1970) 87.
2 Zaslavsky, A., V. Ogievetsky and W. Tybor, Acta phys. polon., 33 (1968) 209.
3 Marshak, R. E., N. Mukunda and S. Okubo, Phys. Rev., 137 (1965) B 698;
4 Gell-Mann, M., Phys. Rev., 125 (1962) 1067.
5 Schulke, L., Phys. Rev. Letters, 22 (1969) 626.
6 Rodenberg, R., and P. Zerwas, Phys. Rev. D, 2 (1970) 2730;
7 Auvil, P. R., and N. G. Deshpande, Phys. Rev., 183 (1969) 1463.
8 Glashow, S. L., and S. Weinberg, Phys. Rev. Letters, 20 (1968) 224.
9 The literature can be traced back from L. SCHULKE, Nuclear Phys. 1314 (1970) 819.
Gell-Mann, M., R. J. Oakes and B. Renner, Phys. Rev. 175 (1968) 2195.
Marshak, R. E., S. Okubo and J. H. Wojtaszek, Phys. Rev. Letters 15 (1965) 463.
Nuov. Cim. 70A (1970) 569;
Rodenberg, R., The mass of the ninth pseudoscalar meson, Talk presented at Louvain (Belgium), at the Universities of Durham (Duke Univ., N. C.), Lincoln/Nebraska, Norman and Stillwater/Oklahoma and Iowe State (Iowa) USA at MUnich (MPI) and at Vienna (1970 /71).
- Seitenbereich
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0306 - 0314
- Zusammenfsg.
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Using G<small>ELL</small>-M<small>ANN</small>'s ansatz for the <I>SU</I>(3)⊗<I>SU</I>(3) symmetry breaking part <I>H</I><sub><I>SB</I></sub> = -<I>u</I><sup>0</sup> -<I>cu</I><sup>8</sup> in the strong H<small>AMILTONIAN</small> density, where the operators <I>u</I><sup><I>j</I></sup> (<I>j</I> = 0, 1,…8) are the scalar part of a basis for the {(3,3<sup>★</sup>) ⊕ (3<sup>★</sup>,3)} representation of chiral <I>SU</I>(3)⊗<I>SU</I>(3) and where the constant <I>c</I> is a measure for <I>SU</I>(3) breaking within the <I>SU</I>(3)⊗<I>SU</I>(3) breaking, a sum rule for the spin zero spectral functions of the pseudoscalar axial vector current octet is derived. Saturating the sum rule with the lowest lying states, the mass of the ninth pseudoscalar meson can be estimated as <I>m</I><sub>η1</sub> = 950 MeV.
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