Strong decays of newly observed DsJ states in a constituent quark model with effective Lagrangians

The strong decay properties of the newly observed states D-sJ(3040), D-sJ(2860), and D-sJ(2710) are studied in a constituent quark model with quark-meson effective Lagrangians. We find that the D-sJ(3040) could be identified as the low-mass physical state vertical bar 2P(1)>(L) (J(P) = 1(+)) from the D-s(2(1)P(1))-D-s(2(3)P(1)) mixing. The D-sJ(2710) is likely to be the low-mass mixed state vertical bar(SD)>(L) via the 1(3)D(1)-2(3)S(1) mixing. In our model, the D-sJ(2860) cannot be assigned to any single state with a narrow width and compatible partial widths to DK and D*K. Thus, we investigate a two-state scenario as proposed in the literature. In our model, one resonance is likely to be the 1(3)D(3) (J(P) = 3(-)), which mainly decays into DK. The other resonance seems to be the vertical bar 1D'(2))>(H), i.e. the high-mass state in the 1(1)D(2)-1(3)D(2) mixing with J(P) = 2(-), of which the D*K channel is its key decay mode. We also discuss implications arising from these assignments and give predictions for their partner states such as vertical bar(SD)'>(H),vertical bar 2P'(1))>(H), 2(3)P(0), and 2(3)P(2), which could be helpful for the search for these new states in future experiments.