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

TL;DR

The paper supports interpreting X(3915) and X(4350) as P-wave charmonium states, providing mass spectrum analysis, decay calculations, and quantum number assignments, and predicts decay behaviors for higher excitations.

Contribution

It offers a novel interpretation of X(3915) and X(4350) as specific P-wave charmonium states with detailed decay and quantum number predictions.

Findings

X(3915) as χc0' with J^PC=0^{++}

X(4350) as χc2'' with J^PC=2^{++}

Predicted decay behaviors for higher P-wave states

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.