Structure Dependence in $\pi \to \mathbf{\ell }\nu ,\pi \mathbf{to\ell }\nu \gamma$ and ${\pi }^{0}to\gamma \gamma$ Decays

Abstract

The amplitudes of $\pi$-meson decays are calculated in a relativistic nonperturbative quark model which assumes that mesons are made of a quark antiquark pair and of a scalar neutral component representing the contribution of the nonelementary fluctuations of the quark gluonic field. The experimental data can be fitted in a satisfactory manner using current quark masses $m_u\approx 1.5MeV,m_d\approx 9MeV$.

no. pages 16 + 6 pages with figures by request, LATEX

References in corpus (3)

• Gluon Condensates, Chiral Symmetry Breaking and Pion Wave Function
• Quark model calculation of $\eta \to l^{+}{l}^{-}$ to all orders in the bound state relative momentum
• Effective Potentials in QCD and Chiral Symmetry Breaking

Cited by in corpus (1)

• The decay constants of pseudoscalar mesons in a relativistic quark model