Shedding light on the X(3930) and X(3960) states with the $$B^- \rightarrow K^- J/\psi \omega $$ <math> <mrow> <msup> <mi>B</mi> <mo>-</mo> </msup> <mo>→</mo> <msup> <mi>K</mi> <mo>-</mo> </msup> <mi>J</mi> <mo>/</mo> <mi>ψ</mi> <mi>ω</mi> </mrow> </math> reaction

We have studied the contribution of the state X(3930), coming from the interaction of the $$D \overline{D}$$ D D &#175; and $$D^{+}_s D^{-}_s$$ D s + D s - channels, to the $$B^- \rightarrow K^- J/\psi \omega $$ B - → K - J / ψ ω decay. The purpose of this work is to offer a complementary tool to see if the X(3930) state observed in the $$D^+ D^-$$ D + D - channel is the same or not as the X(3960) resonance claimed by the LHCb Collaboration from a peak in the $$D^{+}_s D^{-}_s$$ D s + D s - mass distribution around threshold. We present results for what we expect in the $$J/\psi \omega $$ J / ψ ω mass distribution in the $$B^- \rightarrow K^- J/\psi \omega $$ B - → K - J / ψ ω decay and conclude that a clear signal should be seen around $$3930\,\text {MeV}$$ 3930 MeV . At the same time, finding no extra resonance signal at $$3960\,\text {MeV}$$ 3960 MeV would be a clear indication that there is not a new state at $$3960\,\text {MeV}$$ 3960 MeV , supporting the hypothesis that the near-threshold peaking structure peak in the $$D^{+}_s D^{-}_s$$ D s + D s - mass distribution is only a manifestation of a resonance below threshold.