«Composite» model for K-mesons

Abstract

It is here proposed that the heavy mesons are composite and are excited bound states of two pions. The interaction between the two pions is assumed to be due to a pseudoscalar field with direct coupling. To predict the K-mesons the interaction strength, g², is found to be equal to, or rather greater than 1.789 π(μ/m). The usual procedure of the renormalization of the pseudoscalar and scalar theories has been used to obtain the covariant wave equation, describing the two-Boson bound system. The complete and separable solutions of the wave equation predict the existence of a new « quantum number » whose properties are similar to those of the « dionic » number or the « strangeness » number proposed by other authors. The decay of the K-mesons has been studied on the basis of a Universal Fermi interaction. The life-time turns out to be ≈ 10^-7 s, in reasonable agreement with the observed time. The associated production of the strange particles has been explained with the help of Feynman diagrams on the assumption of conservation of the new relativistic quantum number.