Strong decays of the explicitly exotic doubly charmed DDK bound state

Yin Huang,Ming-Zhu Liu,A Martínez Torres,Li-Sheng Geng,Ya-Wen Pan,K P Khemchandani

doi:10.1103/physrevd.101.014022

Yin Huang, Ming-Zhu Liu + Show 4 more

Open Access

https://doi.org/10.1103/physrevd.101.014022

Copy DOI

Abstract

Nowadays, it is generally accepted that the $DK$ interaction in isospin zero is strongly attractive and the $D_{s0}^*(2317)$ can be described as a $DK$ molecular state. Recent studies show that the three-body $DDK$ system binds as well with a binding energy about 60$\sim$70 MeV. The $DDK$ bound state has isospin $1/2$ and spin-parity $0^-$. If discovered either experimentally or in lattice QCD, it will not only provide further support on the molecular nature of the $D_{s0}^*(2317)$, but also provide a way to understand other exotic hadrons expected to be of molecular nature. In the present work, we study its two-body strong decay widths via triangle diagrams. We find that the partial decay width into $DD_s\pi$ is at the order of $2\sim3$ MeV, which seems to be within the reach of the current experiments such as BelleII. As a result, we strongly recommend this decay channel of the $DDK$ bound state to be searched for experimentally.

Highlights

In 2003, the BABAR Collaboration observed a narrow state in the inclusive Dþs π0 invariant mass distribution of the eþe− collision at energies near 10.6 GeV [1], i.e., the DÃs0ð2317Þ (Ds0 for short in the present work), which was later confirmed by the CLEO Collaboration [2] and the Belle Collaboration [3]
To estimate the partial decay widths of the R, we first need to determine the coupling constants related to the molecular state and its components
In this work, inspired by the recent series of studies that showed the likely existence of a DDK bound state, we have studied its partial decay widths into DsDÃ and DDÃs

Summary

INTRODUCTION

In 2003, the BABAR Collaboration observed a narrow state in the inclusive Dþs π0 invariant mass distribution of the eþe− collision at energies near 10.6 GeV [1], i.e., the DÃs0ð2317Þ (Ds0 for short in the present work), which was later confirmed by the CLEO Collaboration [2] and the Belle Collaboration [3]. [43] for a short summary of the theoretical, experimental, and lattice QCD supports for the molecular interpretation of the Ds0 as a DK bound state. In a more recent work [46], using the Gaussian expansion method, the existence of this state has been further confirmed though with a slightly smaller binding energy of ∼60–70 MeV, and it has been found that even the DDDK or DDDs0 system is bound. We calculate explicitly the partial decay widths from such processes, aiming to provide further motivation for the experimental search for this state.

THEORETICAL FORMALISM

Kþ K0 CCCA: ð7Þ

RESULTS AND DISCUSSIONS

SUMMARY