Interpretations for the X(4160) observed in the double charm production at B factories

dc.creatorChao, Kuang-Ta
dc.date2007-07-26
dc.date2008-02-21
dc.date.accessioned2026-07-07T11:18:09Z
dc.date.available2026-07-07T11:18:09Z
dc.descriptionBelle Collaboration has recently observed a new state, the X(4160), in the process of double charm production $e^+e^-\to J/ψ+X(4160)$ followed by $X(4160)\to D^*\bar{D^*}$. We discuss possible interpretations for the X(4160) based on the NRQCD calculations and the potential model estimates for the charmonium spectrum. We first focus on the D-wave spin-singlet $2^{-+}$ charmonium $^1D_2(2D)$, which is estimated to have a small production rate of about 5% of that for $e^+e^-\to J/ψ+η_c(1S)$, and therefore is incompatible with the observed data for X(4160). We then discuss the possibility that the X(4160) is the known $J^{PC}=1^{--}$ charmonium state $ψ(4160)$, which can be produced via two photon fragmentation, but the production rate is much smaller than observed for $e^+e^-\to J/ψ+X(4160)$. In contrast to above two possibilities, the $η_c(4S)$ assignment is a likely one, which is supported by the observed relatively large production rate and non-observation of $D\bar D$ decay of X(4160), but we have to understand why $η_c(4S)$ has such a low mass, which deserves further studies. The P-wave excited state $χ_{c0}(3P)$ is also an interesting candidate, if the observed broad peak around 3.8-3.9 GeV in the recoil mass of $D\bar D$ against $J/ψ$ in $e^++e^-\to J/ψ+D\bar D$ is due to the $χ_{c0}(2P)$ state. Measurements of production angular distributions will be helpful to distinguish between $η_c(4S)$ and $χ_{c0}(3P)$ assignments. Production mechanisms in nonrelativistic QCD are emphasized.
dc.descriptionversion to appear in Phys. Lette. B, discussions and references added
dc.identifierhttps://arxiv.org/abs/0707.3982
dc.identifierhttp://arxiv.org/abs/0707.3982
dc.identifierPhys.Lett.B661:348-353,2008
dc.identifierdoi:10.1016/j.physletb.2008.02.039
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193249
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Experiment
dc.titleInterpretations for the X(4160) observed in the double charm production at B factories
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