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Mixing and Decay Constants of Pseudoscalar Mesons
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We propose a new eta-eta' mixing scheme where we start from the quark flavor basis and assume that the decay constants in that basis follow the pattern of particle state mixing. On exploiting the divergences of the axial vector currents - which embody the axial vector anomaly - all basic parameters are fixed to first order of flavor symmetry breaking. That approach naturally leads to a mass matrix, quadratic in the masses, with specified elements. We also test our mixing scheme against experiment and determine corrections to the first order values of the basic parameters from phenomenology. Finally, we generalize the mixing scheme to include the eta(c). Again the divergences of the axial vector currents fix the mass matrix and, hence, mixing angles and the charm content of the eta and eta'.
Forward citations
Cited by 4 Pith papers
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Radiative decays $J/\psi,\,\psi(2S)\rightarrow\gamma\eta^{(\prime)}$ in perturbative QCD with relativistic corrections
Order-q² relativistic corrections in pQCD roughly double J/ψ→γη(') rates and favor a smaller mixing angle, while ψ(2S) rates overshoot data and may require coherent ηc mixing.
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A Phenomenological Model of Mesons for Charged Current Weak Decays
A symmetry-guided phenomenological model organizes leading current-current operators for charged-current decays of heavy-light mesons and reproduces heavy-quark scaling relations for decay constants and form factors.
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Final-state rescattering mechanism of doubly-charmed baryon decays: $\mathcal{B}_{cc}\to\mathcal{B}_{c}V$
Calculates branching ratios, decay asymmetries, and CP violations for doubly charmed baryon decays to singly charmed baryons and vector mesons by evaluating full real and imaginary parts from final-state rescattering ...
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Form factors and phenomenology of $\boldsymbol{B_{(s)}}$ and $\boldsymbol{D_{(s)}}$ semileptonic decays to $\boldsymbol{\eta}$ and $\boldsymbol{\eta^\prime}$
Updated light-cone sum rule form factors for B(s), D(s) to eta(eta') are fitted across the full q^2 range and used to extract V_ub, V_cs and V_cd with precision the authors call comparable to standard analyses.
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