Abstract
The hidden-charmed pentaquark and the charmonium-like state are investigated as a and a molecular state, respectively. The spin parities of these two states cannot be well understood if only S-wave and interactions are considered. In this work, the interactions are studied in a quasipotential Bethe-Salpeter equation approach with a partial wave decomposition on spin parity , and the contributions of different partial waves are studied in a two-channel scattering model including a generating channel and an observation channel. Two poles at and are produced from the interaction coupled with the channel in wave and wave, respectively. The peak for the state has a comparable height as that of the state in the invariant mass spectrum. The interaction coupled with the channel is studied and a pole at is produced in wave, which corresponds to P-wave interaction. The pole from S-wave interaction is far below that from P-wave interaction even the threshold, so cannot be observed in the channel. The result suggests that in these cases a state carrying a spin parity corresponding to P-wave interaction should be taken as seriously as these carrying a spin parity corresponding to S-wave interaction in the hadronic molecular state picture.
- Received 20 December 2016
DOI:https://doi.org/10.1103/PhysRevD.95.074004
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