Prediction of an exotic state around 4240 MeV with J^PC=1^-+ as C-parity partner of Y(4260) in molecular picture

2019/10/31 by Xiang-Kun Dong, Yong-Hui Lin, Bing-Song Zou · 1 citation
Physics and Astronomy · #hep-ph

paper · pdf · doi:10.1103/physrevd.101.076003

published as Phys. Rev. D 101, 076003 (2020) · 11 pages, 5 figures, some errors corrected

arxiv created 2021/01/20 · arxiv updated 2021/02/24

Abstract

The possibility of the Y(4260) being the molecular state of D D₁(2420)+c.c. is investigated in the one boson exchange model. It turns out that the potential of J^PC=1^-- state formed by D D₁(2420)+c.c. is attractive and strong enough to bind them together when the momentum cutoff Λ\gtrsim 1.4 GeV. To produce the Y(4260) with correct binding energy, we need Λ≈ 2.1 GeV. Besides, D D₁(2420)+c.c. can also form a state with exotic quantum numbers, J^PC=1^-+, and its potential similar with that of the J^PC=1^-- state. Therefore, an exotic state with mass around 4240 MeV (called η_c1(4240)) is predicted to exist. Our estimation of the mass of the J^PC=1^-+ state in charmonium region is in agreement with those predicted by the chiral quark model and the lattice QCD. The possible decay modes and their relative widths are estimated and the results suggest that this exotic state can be searched for in ηη_c and ηχ_c1 channels.

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