Electroweak Interactions of Kaons

Abstract

Analytical expressions for electromagnetic form factors of the charged and neutral K mesons have been obtained in the Quark Confinement Model (QCM). The contribution from the direct diagrams, as well as that one from the intermediate vector states in the form factors are examined. It is shown that for the description of the neutral K0 meson the intermediate vector contribution is crucial. Electromagnetic radius hrK+ i of charged kaon has been calculated. The received value hrK+ i = 0.522 is in a good agreement with experimental data. The numerical values of the square of the electromagnetic radius hrK0 i of the neutral kaon at different values of the mixing angle of vector mesons was obtained. It was found that the best agreement with the experimental data is achieved when δ = 0. The calculated numerical value hrK0 i = −0.084. Analytical expressions for the vector and scalar form factors of semileptonic K → πeνe decays have been obtained. The contribution from the direct diagrams, as well as that one from the intermediate vector states in the form factors are examined. The performed investigation proofs that the semileptonic kaon decays can be successfully described in the framework of QCM. We need no additional parameters and assumptions for adequate description of this kind of decays. Well known CCQM (Confined Covariant Quark Model) relation, obtained in the current algebra approach, is reproduces in QCM with 10% accuracy. Numerical values for slope parameters λ 0 + = 0.031 and λ 0 0 = 0.0165 are in satisfactory agreement with experimental data.