Where are ${\chi }_{cJ}(3P)$?

Abstract

In the present work, we propose $Y(4140)$ as the ${\chi }_{c1}(3P)$ state by studying the ${\chi }_{c1}{\pi }^{+}{\pi }^{-}$ invariant mass spectrum of the $B\to K{\chi }_{c1}{\pi }^{+}{\pi }^{-}$ process. In the $D\bar{D}$ invariant mass spectrum of the $B\to KD\bar{D}$ process, we find a new resonance with the mass and width to be $(4083.0\pm 5.0)$ and $(24.1\pm 15.4)$ MeV, respectively, which could be a good candidate of the ${\chi }_{c0}(3P)$ state. The theoretical investigations on the decay behaviors of the ${\chi }_{cJ}(3P)$ in the present work support the assignments of the $Y(4140)$ and $Y(4080)$ as the ${\chi }_{c1}(3P)$ and ${\chi }_{c0}(3P)$ states, respectively. In addition, the ${\chi }_{c2}(3P)$ state is predicted to be a very narrow state. The results in the present work could be tested by further experiments in the LHCb and forthcoming Belle II.

6 pages, 3 figures, 2 table, published by Eur.Phys.J. C

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Cited by in corpus (2)

• Pentaquark and Tetraquark states
• Analysis of the mass and width of the $Y(4274)$ as axialvector molecule-like state