D Ξ and D∗ Ξ molecular states from one boson exchange

Abstract

We explore the existence of DΞ and D∗Ξ molecular states within the one boson exchange model. We regularize the potential derived in this model with a form factor and a cutoff of the order of 1 GeV. To determine the cutoff, we use the condition that the X(3872) is reproduced as a pole in the JPC=1++ D∗D. amplitude. From this, we find that the JP=12- D∗Ξ system is on the verge of binding and has an unnaturally large scattering length. For the JP=12- DΞ and the JP=32- D∗Ξ systems, the attraction is not enough to form a bound state. From heavy quark symmetry and the quark model, we can extend the previous model to the PΞQQ and P∗ΞQQ systems, with P=B, D and ΞQQ=Ξcc,Ξbb. In this case, we predict a series of triply heavy pentaquarklike molecules.