Theoretical investigation of the molecular nature of D*s0o (2317) and Ds1 (2460) and the possibility of observing the D$($)over-bar-$K bound state Kc$$($)over-bar (4180) in inclusive e + e -→ c ($)over-bar collisions

Searching for exotic multiquark states and elucidating their nature remains a central topic in understanding quantum chromodynamics-the underlying theory of the strong interaction. Two of the most studied such states are the charm-strange states D-s0*(2317 ) and D-s1(2460 ). In this paper, we show for the first time that their prompt production yields in inclusive e(+)e(-) -> c (c) over bar collisions near root s =10.6 GeV measured by the BABAR collaboration, Y(D-s0*(2317 )) and Y(D-s1(2460 )), in particular the ratio R = Y (D-s0*(2317 ))/Y(D-s1(2460 )), can be well explained in the molecular picture, which provide a highly nontrivial verification of their nature being DK/D*K molecules. On the contrary, treating them as pure c (s) over bar P-wave states, the statistical model predicts a ratio R smaller than unity, in contrast with the experimental central value, though in agreement with it considering its relatively large uncertainty. In addition, we predict the production yield of the D (D) over barK three-body bound state, K-c (c) over bar(4180 ), in e(+)e(-) -> c (c) over bar collisions and find that it is within the reach of the ongoing Belle II experiment. The present study demonstrates the feasibility of a novel method to unravel the nature of exotic hadrons and the potential of electron-positron collisions in this regard.

Automated summary

This study explores the production mechanism of charm-strange states D-s0*(2317) and D-s1(2460), and finds that the molecular model can well explain their production cross-section ratios. In addition, we predict the production yield of the three-body bound state D(D) over barK, and find that it is within the reach of the ongoing Belle II experiment.