Analysis of the charmonium-like states X * (3860), X(3872), X(3915), X(3930) and X(3940) according to their strong decay behaviors * Guo-Liang Yu( ) 1;1) Zhi-Gang Wang( ) 1;2) Zhen-Yu Li( ) 2

Zhi-Gang Wang( ) Abstract: In this article, we study the strong interaction of the vertices Σ b N B and ΣcN D using the three-point QCD sum rules under two different Dirac structures. Considering the contributions of the vacuum condensates up to dimension 5 in the operation product expansion, the form factors of these vertices are calculated. Then, we fit the form factors into analytical functions and extrapolate them into time-like regions, which gives the coupling constants. Our analysis indicates that the coupling constants for these two vertices are GΣ b N B = 0.43±0.01 GeV and GΣ cN D =3.76±0.05 GeV −1 .

In this article, we analyze tensor-vector-pseudoscalar(TVP) type of vertices $$D_{2}^{*+}D^{+}\rho $$D2∗+D+ρ, $$D_{2}^{*0}D^{0}\rho $$D2∗0D0ρ, $$D_{2}^{*+}D^{+}\omega $$D2∗+D+ω, $$D_{2}^{*0}D^{0}\omega $$D2∗0D0ω, $$B_{2}^{*+}B^{+}\rho $$B2∗+B+ρ, $$B_{2}^{*0}B^{0}\rho $$B2∗0B0ρ, $$B_{2}^{*+}B^{+}\omega $$B2∗+B+ω, $$B_{2}^{*0}B^{0}\omega $$B2∗0B0ω, $$B_{s2}^{*}B_{s}\phi $$Bs2∗Bsϕ and $$D_{s2}^{*}D_{s}\phi $$Ds2∗Dsϕ in the frame work of three point QCD sum rules(QCDSR). According to these analysis, we calculate their strong form factors which are used to fit into analytical functions of $$Q^{2}$$Q2. Then, we obtain the strong coupling constants by extrapolating these strong form factors into deep time-like regions. As an application of this work, the coupling constants for radiative decays of these heavy tensor mesons are also calculated at the point of $$Q^{2}=0$$Q2=0. With these coupling constants, we finally obtain the radiative decay widths of these tensor mesons.

In this work, we systematically study the strong decay behavior of the charmed mesons D * 1 (2680), D * 3 (2760) and D * 2 (3000) reported by the LHCb collaboration. By comparing the masses and the decay properties with the results of the experiment, we assign these newly observed mesons as the 2S ) : M = 2681.1 ± 5.6 ± 4.9 ± 13.1MeV, Γ = 186.7 ± 8.5 ± 8.6 ± 8.2MeV D * 3 (2760) : M = 2775.5 ± 4.5 ± 4.5 ± 4.7MeV, Γ = 95.3 ± 9.6 ± 7.9 ± 33.1MeVActually, people have found many other charmed mesons before these discoveries [2][3][4][5][6][7][8][9] , which have greatly enriched the charmonium spectra. On the other hand, these discoveries also shed more light on our knowledge about the essence of the elementary particles in the micro-world. For D * 2 (2460) as an example, it has been well established previously and the 1P 3 2 2 + assignment is strongly favored [10].We studied the nature of the states D * 1 (2680), D * 3 (2760) and D * 2 (3000) in our previous work using * Electronic address: yuguoliang2011@163.com † Electronic address: zgwang@aliyun.com