Kaon mass spectra and M1 transitions in a relativistic Dirac formalism

In this work, we examine the kaon comprises of a light quark (Formula: see text) and a strange antiquark (Formula: see text). The interaction between the constituent quark and antiquark is described using an effective equal admixture of scalar and vector linear potential Formula: see text. This form of potential is thought to represent non-perturbative interactions between gluons. We compute hyperfine mass splitting for K-meson systems. Our computations consider the perturbative contributions of quark-gluon coupling, notably the effects of one-gluon exchange, center-of-mass, LS coupling and tensor corrections. The measured mass splitting produced in this investigation is reasonably consistent with the relevant experimental values. The estimated states Formula: see text and Formula: see text for the K meson agree satisfactorily with the Particle Data Group’s estimates (495 MeV and 1482 MeV, respectively). The calculated masses of the Formula: see text and Formula: see text states reproduce the observed values with percentage deviations generally below 3%. The remaining radial and orbital excited states show adequate concordance with other theoretical models. Considering the equivalent parameters, we compute the various radiative decay widths of Formula: see text. Most of our outcomes are consistent with experimental and theoretical predictions.