Pionic Decays of $D_{sj}(2317)$, $D_{sj}(2460)$ and $B_{sj}(5718)$, $B_{sj}(5765)$

Abstract

We estimate pionic decay widths of the narrow charm-strange resonances $D_{sj}(2317)$ and $D_{sj}(2460)$ using the ${}^3{P}_0$ model. Their one-pion decays occur through $\hat{I}\cdot$-$\ddot{I}{€}^0$ mixing while the two-pion decays of $D_{sj}(2460)$ occur through the virtual $f_0(980)$ meson. The mixing between ${}^3{P}_1$ and ${}^1{P}_1$ states enhances the single pion decay width of $D_{sj}(2460)$ and suppresses its double pion decay width significantly. The two-pion decay width of $D_{sj}(2460)$ is much smaller than its one-pion decay width. As a byproduct, we also calculate pionic decay widths of $B_{sj}(5765)$, $B_{sj}(5765)$ mesons in the $(0^{+},1^{+})$ heavy doublet.

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