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Weak-interaction mixing in the six-quark ambidextrous model of quantum flavourdynamics

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Lettere al Nuovo Cimento (1971-1985)

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References

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  5. The quark mass parameters used in this note are the current quark masses (or ultraviolet quark masses) that are related to the pseudoscalar-meson masses and decay constants via the PCAC relation, and not the constituent quark masses (or infra-red quark masses) that are related to hadronic masses viaSU 6-type mass formulae. The ratio of masses of consecutive quarks obtained using these two definitions ranges from about\(\sqrt {\cot g \theta _C } \gtrsim 2\) for the constituent quark masses of about cotg2 φC ⋍ 20 for the current quark masses. In spite or this vast difference in the two types of quark mass parameters, characterized by different choice of the renormalization point, the distinction between them has not been consistently maintained in the literature. For a discussion, seeA. Ebrahim: ref. (4,6); ;H. Fritzsch andP. Minkowski:Ann. Phys.,93, 193 (1975);H. Fritzsch:The world of flavour and colour, CERN-TH-2359 (1977);Chromodynamic theory of hadrons, CERN-TH-2483 (1978);M. Gellmann:Aust. Journ. Phys.,29, 473 (1976);Present trends in the theory of hadrons, CERN-ISR Workshop/2-6 (1977).

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  12. We note that the scheme for relating quark masses and flavour-mixing angles given here will not work if the quark doublets are chosen differently from eq. (11), as is often done in six-quark vectorlike models of quantum flavour dynamics.

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  15. We note that the diagonalization of the quark mass matrices automatically imply that the left-handed and right-handed flavour-mixing angles are equal. We also note that the quark mass matrices can be made real by a suitable choice of phases for the quark fields, and hence for the form of the quark mass matrices chosen in this note, theCP-violating phase vanishes identically.

  16. We note that the quark mass ratios given in eq. (8) are the only ones that can arise through weak-interaction mixing. This gives a certain amount of uniqueness to the relations between quark masses and flavour-mixing angles suggested in this note.

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  1. Physics Department, Middle East Technical University, Ankara, Turkey

    A. Ebrahim

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  1. A. Ebrahim
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Work supported in part by Turkish Scientific and Technical Research Council.

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Ebrahim, A. Weak-interaction mixing in the six-quark ambidextrous model of quantum flavourdynamics. Lett. Nuovo Cimento 24, 164–168 (1979). https://doi.org/10.1007/BF02725750

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  • DOI: https://doi.org/10.1007/BF02725750

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