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 r\^{o}le. 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 $(m_s-m_d)^2/M_{Kaon}^2 \sim 1/10$.

Highlights

  • In the low energy region below the J/ mass, it is generally difficult to employ a quark degree of freedom to calculate for the hadron production, since the perturbative QCD calculation is not valid any more

  • The aim of this paper is to investigate the exclusive production ratio of the neutral to charged kaon pair in e+e− annihilation continuum below the J/ mass under the spirit of the Straton model

  • The vertices between the quarks and the corresponding kaon can be given by the BS wave function of the kaon in term of ‘valence’ quark field

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Summary

Introduction

In the low energy region below the J/ mass, it is generally difficult to employ a quark degree of freedom to calculate for the hadron production, since the perturbative QCD calculation is not valid any more. The BS wave function can be obtained by fitting corresponding data for each kind of meson, in term of the valence quark-antiquark field. (φk1 , φk2 ), respectively, refers to the scalar wave function in the vertex for (K 0, K0) or (K−, K+), and mu, md , ms are the masses of the quarks.

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