Abstract
The structure of the and resonances is investigated with the mixing intensity from the viewpoint of compositeness, which corresponds to the amount of two-body states composing resonances as well as bound states. For this purpose, we first formulate the mixing intensity as the ratio of two partial decay widths of a parent particle, in the same manner as the recent analysis in BES experiments. Calculating the mixing intensity with the existing Flatte parameters from experiments, we find that many combinations of the and Flatte parameters can reproduce the experimental value of the mixing intensity by BES. Next, from the same Flatte parameters, we also calculate the compositeness for and . Although the compositeness with the correct normalization becomes complex in general for resonance states, we find that the Flatte parameters for imply a large absolute value of the compositeness, and the parameters for lead to a small but non-negligible absolute value of the compositeness. Then, connecting the mixing intensity and the compositeness via the - and coupling constants, we establish a relation between them. As a result, a small mixing intensity indicates a small value of the product of the compositeness for the and resonances. Moreover, the experimental value of the mixing intensity implies that the and resonances cannot be simultaneously molecular states.
- Received 12 November 2014
DOI:https://doi.org/10.1103/PhysRevD.92.034010
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