Decay Constants, Smoothness and Spin-Zero Charm Mesons in Broken Chiral SU(4)×SU(4) Symmetry

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Considering the general from of the symmetry breaking Hamiltonian including isospin violation term μ_3 in the framework of chiral SU(4)×SU(4) model, and imposing smoothness assumption on certain three-point vertex functions, we estimate the symmetry breaking and vacuum asymmetry parameters, masses and weak decay constants of spin-zero charm mesons in terms of known meson masses and one input variable F=f_K / f_π. Our kinematical method predicts m_D(s)=3.3 GeV, m_F(s)=3.6 GeV and the non-electromagnetic mass splittings, (m_D+(p)-m_Do(p))_μ_3 -^^~(m_D+(s)-m_Do(s)_μ_3= 1.5MeV for F=1.28. The weak decay constant ratios are obtained to be f_D(p) / f_K~^^~f_F(p)/f_K=1.03, f_K~^^~f_F(s) / 0.30, which are in general much lower than the values predicted by the linear σ-model calculations. The mixing angle between η(958) and η(2750) is also obtained to be ~40^o, in agreement with the recent predictions.
理論物理学刊行会の論文
1979-01-25