Exotic doubly charmed Ds0∗ (2317)D and Ds1∗ (2460)D∗ molecules

Abstract

The Ds0∗(2317)D and Ds1∗(2460)D∗ heavy meson systems can exchange a kaon that is emitted in the S-wave due to the opposite intrinsic parity of the Ds0∗(Ds1∗) and D(D∗) mesons. As a consequence of the mass difference of the Ds0∗(Ds1∗) and D(D∗) mesons, the range of the kaon exchange potential will be significantly longer than expected, corresponding to an effective mass of about 200 MeV. The potential will be very strong: the strength of the interaction is proportional to (mDs0-mD)2/fπ2 and (mDs1-mD∗)2/fπ2. This combination of range and strength almost guarantees the existence of Ds0∗(2317)D and Ds1∗(2460)D∗ bound states with JP=0- and JP=0-, 2-, respectively. Concrete calculations indicate a binding energy of 5-15 MeV independently of JP. The Ds0∗(2317)D and Ds1∗(2460)D∗ molecules have manifestly exotic flavor quantum numbers: C=2, S=1, and I=1/2. We expect the existence of bottom counterparts composed of the BBs0 and B∗Bs1∗ mesons, which will be more bound and have a richer spectrum that might include a shallow P-wave state and an excited S-wave state.