Double heavy tri-hadron bound state with strange flavor

Li Ma

doi:10.1051/epjconf/201920206007

EPJ

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Proceedings

Open Access

EPJ Web of Conferences 202, 06007 (2019)
https://doi.org/10.1051/epjconf/201920206007

Double heavy tri-hadron bound state with strange flavor

Li Ma^*

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 $\bar{D}$ $\overline D$ ^*K, BB^∗ $\bar{K}$ $\overline K$ and B $\bar{B}$ $\overline B$ ^* $\bar{K}$ $\overline K$ 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, $\frac{1}{2}$ ${1 \over 2}$ , ± $\frac{1}{2}$ ${1 \over 2}$ > and quantum number I(J^P) = 1/2(1⁻), where the, $\frac{1}{2}$ ${1 \over 2}$ is the total isospin of the three-body system, the 0 is the isospin of the D^∗K, $\bar{D}$ $\overline D$ ^*K, B^∗ $\bar{K}$ $\overline K$ and $\bar{B}$ $\overline B$ ^∗ $\bar{K}$ $\overline K$ . With the estimated error, the mass of the DD^∗K or D $\bar{D}$ $\overline D$ ^∗K molecule is ${4317.92}_{- 4.32}^{+ 3.66}$ $4317.92_{ - 4.32}^{ + 3.66}$ MeV or ${4317.92}_{- 6.55}^{+ 6.13}$ $4317.92_{ - 6.55}^{ + 6.13}$ MeV. We also extend our calculations to the bottom sector and find tri-meson bound states for the BB^∗ $\bar{K}$ $\overline K$ and B $\bar{B}$ $\overline B$ ^* $\bar{K}$ $\overline K$ with the mass ${11013.65}_{- 8.84}^{+ 8.49}$ $11013.65_{ - 8.84}^{ + 8.49}$ MeV and ${11013.65}_{- 9.02}^{+ 8.68}$ $11013.65_{ - 9.02}^{ + 8.68}$ MeV respectively.

© The Authors, published by EDP Sciences, 2019

This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.