Newly observed $\kappa$(2600) and the highly excited states of the $K_0^{*}$ family

Abstract

We conducted a study using the modified Godfrey-Isgur quark model and quark pair creation model to investigate the spectrum and two-body strong decays of the newly discovered $\kappa$(2600) resonance by the LHCb collaboration. Our analysis revealed that this {resonance} can be assigned as the fourth radial excitation within the $0^{+}$ light strange meson family. Furthermore, we predicted additional radial excitations in this meson family and systematically discussed their spectra, decay behaviors, and branching ratios. These results provide critical guidance for future to identify their signatures in experiments.