X(3915) and X(4350) as new members in P-wave charmonium family

Abstract

The analysis of the mass spectrum and the calculation of the strong decay of P-wave charmonium states strongly support to explain the newly observed X(3915) and X(4350) as new members in P-wave charmonium family, i.e., ${\chi }_{c0}^{\prime }$ for X(3915) and ${\chi }_{c2}^{\prime \prime }$ for X(4350). Under the P-wave charmonium assignment to X(3915) and X(4350), the $J^{PC}$ quantum numbers of X(3915) and X(4350) must be $0^{++}$ and $2^{++}$ respectively, which provide the important criterion to test P-wave charmonium explanation for X(3915) and X(4350) proposed by this letter. The decay behavior of the remaining two P-wave charmonium states with the second radial excitation is predicted, and experimental search for them is suggested.

Comments: 4 pages, 2 figures, 2 tables. More references and discussions added, typos corrected. Accepted for publication in Phys. Rev. Lett.