Are the \(X\)(4160) and \(X\)(3915) charmonium states?

• Published in: arXiv.org 2009-12
• Main Authors: You-chang, Yang, Xia, Zurong, Jialun Ping
• Format: Article
• Language: English
• Subjects: Decay; Quark models
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.0912.5061

Inspired by the newly observed \(X\)(4160) and \(X\)(3915) states, we analyze the mass spectrum of these states in different quark models and calculate their strong decay widths by the \(^3P_0\) model. According to the mass spectrum of charmonium states predicted by the potential model, the states \(\chi_0(3^3P_0), \chi_1(3^3P_1), \eta_{c2}(2^1D_2), \eta_c(4^1S_0)\) all can be candidates for the \(X\)(4160). However, only the decay width of the state \(\eta_{c2}(2^1D_2)\) in our calculation is in good agreement with the data reported by Belle and the decay of \(\eta_{c2}(2^1D_2)\to D\bar{D}\), which is not seen in experiment, is also forbidden. Therefore, it is reasonable to interpret the charmonium state \(\eta_{c2}(2^1D_2)\) as the state X(4160). For the state X(3915), although the mass of \(\chi_0(2^3P_0)\) is compatible with the experimental value, the calculated strong decay width is much larger than experimental data. Hence, the assignment of X(3915) to charmonium state \(\chi_0(2^3P_0)\) is disfavored in our calculation.