Inconsistency of the data on the $K_1(1270)\to \pi K_0^{\ast }(1430)$ decay width

Abstract

We show, using the same Lagrangian for the $K_1(1270)\to \pi K_0^{\ast }(1430)$ and $K_0^{\ast }(1430)\to K_1(1270)\pi$ decays, that the present PDG data on the partial decay width of $K_1(1270)\to \pi K_0^{\ast }(1430)$ implies a width for $K_0^{\ast }(1430)\to K_1(1270)\pi$ decay which is about ten times larger than the total $K_0^{\ast }(1430)$ width. A discussion on this inconsistency is done, stressing its relationship to the existence of two $K_1(1270)$ states obtained with the chiral unitary theory, which are not considered in the experimental analyses of $K\pi \pi$ data.

Comments: 8 pages, 1 figure