The possible assignments of the scalar $K_0^{\ast }(1950)$ and $K_0^{\ast }(2130)$ within the ${}^3{P}_0$ model

Abstract

We have evaluated the strong decays of the $K_0^{\ast }(1950)$ and $K_0^{\ast }(2130)$ within the ${}^3{P}_0$ model, by employing the meson wave functions from the relativized quark model. By comparing with the experimental measurements, the $K_0^{\ast }(2130)$ could be assigned as $K_0^{\ast }(3^3{P}_0)$, while the $K_0^{\ast }(1950)$ seems like an exotic state, because its width can not be reasonably reproduced within the ${}^3{P}_0$ model. We also predict that the $K_0^{\ast }(2^3{P}_0)$ state has a mass of about $1811$ MeV and a width of about $656$ MeV, while the $K_0^{\ast }(4^3{P}_0)$ state has a mass of about $2404$ MeV and a width of about $180$ MeV.

Comments: 7 pages, 5 figures, comments or suggestions are welcome