[Submitted on 26 May 2022] (cross-list from hep-ph)
Light- and heavy-quark symmetries and the , , , and resonances
Fang-Zheng Peng🇨🇳 · Mao-Jun Yan🇨🇳 · Mario Sánchez Sánchez🇫🇷 · Manuel Pavon Valderrama🇨🇳
The heavy hadron spectrum is constrained by symmetries, of which two of the most important ones are heavy-quark spin and SU(3)-flavor symmetries. Here we argue that in the molecular picture the (or ), the and the recently discovered and vector-like resonances are linked by these two symmetries. By formulating a contact-range effective field theory for the and family of S- and P-wave charmed meson-antimeson systems, we find that if the were to be a pure molecular state, there would be a partner with a mass similar to the , a partner with a mass close to the and three and bound states with a mass in the vicinity of , of which the first one () might correspond with the . The previous predictions can in turn be improved by modifying the assumptions we have used to build the effective field theory. In particular, if we consider the closeness of the - and - thresholds and include the related coupled channel dynamics, we predict a positive C-parity state with a mass around . This hidden-strange and hidden-charm state might in turn be identified with the that has been discovered past year by the LHCb in the invariant mass distribution.
- Comments:
- 21 pages, 7 tables
- Subjects:
- High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Experiment (hep-ex); High Energy Physics — Lattice (hep-lat); Nuclear Theory (nucl-th)
- arXiv:
- 2205.13590 [pdf]