Strong decays of higher excited heavy-light mesons in a chiral quark model

Abstract: The strong decay properties of the higher excited heavy-light mesons from the first radially excited states up to the first $F$-wave states are studied in a constituent quark model. It is found many missing excitations have good potentials to be found in future experiments for their narrow widths, some of them dominantly decay into the first orbital excitations rather than into ground states. In future observations, one should focus on the decay processes not only into the ground states, but also into the low-lying $P$-wave excitations with $J^P=0^+,1^+$. Furthermore, the nature of the newly observed states $D_J(3000)$, $D_J^*(3000)$ and B(5970) is discussed. It is predicted that $D_J(3000)$ seems to be a partner of $D_{sJ}(3040)$, which could be identified as the high-mass mixed state $|2{P_1}>_L$ ($J^P=1^+$) via the $2^1P_1$-$2^3P_1$ mixing. The $D_J^*(3000)$ resonance seems to favor the $1^3F_4$ state, however, the quantum numbers $J^P=0^+$ and $2^+$ can not be excluded complectly, more experimental observations are needed to determine its $J^P$ values. The B(5970) resonance is most likely to be the $1^3D_3$ with $J^P=3^-$.