Shedding light on the $X(3930)$ and $X(3960)$ states with the $B^{-}\to K^{-}J/\psi \omega$ reaction

Abstract

We have studied the contribution of the state $X(3930)$, coming from the interaction of the $D\overline{D}$ and $D_s^{+}{D}_s^{-}$ channels, to the $B^{-}\to K^{-}J/\psi \omega$ decay. The purpose of this work is to offer a complementary tool to see if the $X(3930)$ state observed in the $D^{+}{D}^{-}$ channel is the same or not as the $X(3960)$ resonance claimed by the LHCb collaboration from a peak in the $D_s^{+}{D}_s^{-}$ mass distribution around threshold. We present results for what we expect in the $J/\psi \omega$ mass distribution in the $B^{-}\to K^{-}J/\psi \omega$ decay and conclude that a clear signal should be seen around $3930\mathrm{MeV}$. At the same time, finding no extra resonance signal at $3960\mathrm{MeV}$ would be a clear indication that there is not a new state at $3960\mathrm{MeV}$, supporting the hypothesis that the near-threshold peaking structure peak in the $D_s^{+}{D}_s^{-}$ mass distribution is only a manifestation of a resonance below threshold.

15 pages; 10 figures; new version with improved discussion related to available experimental results

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Cited by in corpus (6)

• Heavy- and light-flavor symmetry partners of the $T_{cc}^{+}(3875)$, the $X(3872)$ and the $X(3960)$ from light-meson exchange saturation
• Molecular charmed baryons and pentaquarks from light-meson exchange saturation
• $P$-wave charmonium contribution to hidden-charm states from reanalysis of lattice QCD data
• Searching for femtoscopic signatures of the $D\bar{D}(I=0)[X(3700)]$ bound state
• Exotic hadrons associated with $b$-quark
• Decoding the near-threshold $X_{0,1}(4140)$ and $X_1(4685)$ states via OZI-suppressed coupled-channel scattering