[Submitted on 19 Mar 2019] (cross-list from hep-ph)
Triangle singularities in relevant to and
Satoshi X. Nakamura (University of Science and Technology of China)🇨🇳
and observed in by the Belle Collaboration are candidates of charged charmonium-like states that minimally includes two quarks and two antiquarks. While and have been interpreted as tetraquark states previously, we propose a completely different scenario based on a kinematical effect called the triangle singularity. We demonstrate that the triangle singularities cause in the invariant mass distribution resonance-like bumps that fit very well the Belle data. If these bumps are simulated by the and resonance excitations, the spin-parity of them are predicted to be for and or for . The bump corresponding to has a highly asymmetric shape, which the Belle data exactly indicate. We show that the asymmetric shape originates from an interplay between the triangle singularity and the opening of the channel near the triangle-singularity energy. This characteristic lineshape could be used to discriminate different interpretations of . An interesting prediction from interpretting and as the triangle singularities is that similar bumps caused by the same mechanisms possibly appear also in data; the already observed corresponds to of .
- Comments:
- 6 pages, 5 figures, (v2) numerical results corrected; changes are small, discussion on B0 -> J/psi K pi added; (v3) published version: relativistic energy-momentum relation is used for all particles; study on cutoff-dependence added
- Subjects:
- High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Experiment (hep-ex); Nuclear Theory (nucl-th)
- arXiv:
- 1903.08098 [pdf]