Double heavy tri-hadron bound state with strange flavor

Helmholtz-Institut für Strahlen-und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, D-53115 Bonn, Germany

^* e-mail: ma@hiskp.uni-bonn.de

Published online: 13 March 2019

Abstract

Through the Born-Oppenheimer Approximation, we have performed a comprehensive investigation of the DD^∗K, D$\overline{D}$^*K, BB^∗$\overline{K}$ and B$\overline{B}$^*$\overline{K}$ molecular states. In the framework of One-Pion Exchange model as well as the treatments of the coupled-channel effects and S-D wave mixing, we find a loosely bound tri-meson molecular state these systems with the isospin configuration |0,$\frac{1}{2}$, ±$\frac{1}{2}$> and quantum number I(J^P) = 1/2(1⁻), where the, $\frac{1}{2}$ is the total isospin of the three-body system, the 0 is the isospin of the D^∗K, $\overline{D}$^*K, B^∗$\overline{K}$ and $\overline{B}$^∗$\overline{K}$. With the estimated error, the mass of the DD^∗K or D$\overline{D}$^∗K molecule is ${4317.92}_{-4.32}^{+3.66}$ MeV or ${4317.92}_{-6.55}^{+6.13}$MeV. We also extend our calculations to the bottom sector and find tri-meson bound states for the BB^∗$\overline{K}$ and B$\overline{B}$^*$\overline{K}$ with the mass ${11013.65}_{-8.84}^{+8.49}$ MeV and ${11013.65}_{-9.02}^{+8.68}$MeV respectively.