Exclusive Production Ratio of Neutral over Charged Kaon Pair in $e^{+}{e}^{-}$ Annihilation Continuum via `Straton Model'

Abstract

A completely relativistic quark model in the Bethe-Salpter framework is employed to calculate the exclusive production ratio of the neutral over charged Kaon pair in $e^{+}{e}^{-}$ annihilation continuum region for center of mass energies smaller than the $J/\Psi$ mass. The valence quark charge plays the key rôle. The cancellation of the diagrams for the same charge case (in $K_S+K_L$) and the non-cancellation of the diagrams for the different charge case (in $K^{-}+K^{+}$) lead to the ratio as $(m_s-m_d{)}^2/M_{Kaon}^2\sim 1/10$.

6 papges, 4 figures. This paper is dedicated to M. Gell-Mann In v2 several refs. added

References in corpus (6)

• Measurement of $e^{+}{e}^{-}\to K^{+}{K}^{-}$ cross section at $\sqrt{s}=2.00-3.08$ GeV
• Cross sections for the reactions $e^{+}{e}^{-}\to K_S^0{K}_L^0$, $K_S^0{K}_L^0{\pi }^{+}{\pi }^{-}$, $K_S^0{K}_S^0{\pi }^{+}{\pi }^{-}$, and $K_S^0{K}_S^0{K}^{+}{K}^{-}$ from events with initial-state radiation
• Masses of doubly heavy baryons in the Bethe-Salpeter equation approach
• Generalized structure of hadron-quark vertex function in Bethe-Salpeter framework: Applications to leptonic decays of V-mesons
• Arranging Dirac covariants in hadronic Bethe-Salpeter wave functions for pseudoscalar meson decays
• Analytic Bethe-Salpeter Description of the Lightest Pseudoscalar Mesons