Radially Excited States of ${\eta }_c$

Abstract

In the framework of chiral quark model, the mass spectrum of ${\eta }_c(ns)(n=1,...,6)$ is studied with Gaussian expansion method. With the wave functions obtained in the study of mass spectrum, the open flavor two-body strong decay widths are calculated by using ${}^3{P}_0$ model. The results show that the masses of ${\eta }_c(1S)$ and ${\eta }_c(2S)$ are consistent with the experimental data. The explanation of X(3940) as ${\eta }_c(3S)$ is disfavored for X(3940) is a narrow state, $\Gamma =37_{-15}^{+26}\pm 8$ MeV, while the open flavor two-body strong decay width of ${\eta }_c(3S)$ is about 200 MeV in our calculation. Although the mass of X(4160) is about 100 MeV less than that of ${\eta }_c(4S)$, the assignment of X(4160) as ${\eta }_c(4S)$ can not be excluded because the open flavor two-body strong decay width of ${\eta }_c(4S)$ is consistent with the experimental value of X(4160) and the branching ratios of ${\eta }_c(4S)$ are compatible with that of X(4160), and the mass of ${\eta }_c(4S)$ can be shifted downwards by taking into account the coupling effect of the open charm channels. There are still no good candidates to ${\eta }_c(5S)$ and ${\eta }_c(6S)$.

arXiv comment5 pages

References in corpus (15)

• Big-Bang Nucleosynthesis
• Heavy quarkonium: progress, puzzles, and opportunities
• Higher Charmonia
• Determination of the X(3872) meson quantum numbers
• Constituent quark model study of the meson spectra
• On the Mechanism of Open-Flavor Strong Decays
• Coupled-channel model for charmonium levels and an option for X(3872)
• Coupled-Channel and Screening Effects in Charmonium Spectrum
• Dynamical origin and the pole structure of X(3872)
• Where is the χ_{c0}(2P)?
• Constituent quark model study of light- and strange-baryon spectra
• $B\to {\chi }_{c1}(1P,2P)K$ decays in QCD factorization and X(3872)
• Prediction of a missing higher charmonium around 4.26 GeV in $J/\psi$ family
• Does the enhancement observed in $\gamma \gamma \to D\bar{D}$ contain two $P$-wave higher charmonia?
• Higher Charmonium

Cited by in corpus (10)

• Coupled-Channel Effects for the Bottomonium with Realistic Wave Functions
• Strong decays of higher charmonium states into open-charm meson pairs
• Exclusive nonleptonic Bc-meson decays to S-wave charmonium states
• Two-Body Strong Decay of the 2P and 3P Charmonium states
• The Strong Decays of X(3940) and X(4160)
• Charmonium spectrum with a Dirac potential model in the momentum space
• Charmonium states in a coupled-channel model
• The weak $B$, $B_s$ and $B_c$ decays to radially excited states
• Exclusive semileptonic $B_c$-meson decays to radially excited charmonium and charm meson states
• The Production of $X(3940)$ and $X(4160)$ in $B_c$ decays