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By looking at the pseudoscalar-vector meson spectra in the $\bar{B}\to J/\psi\rho\bar{K}$ and $\bar{B}\to J/\psi \bar{K}^*\pi$ weak decays, we theoreticallyinvestigate the double-pole structure of the $K_1(1270)$ resonance by using theChiral Unitary approach to account for the final state interactions between thepseudoscalar and vector mesons. The $K_1(1270)$ resonance appears asdynamically generated through these interactions in coupled channels andinfluence the shape of the invariant mass distributions under consideration. Weshow how those shapes are affected by the $K_1(1270)$ double-pole structure toconfront the results from our model with future experiments that mightinvestigate the $PV$ spectra in these decays.

Unveiling the $K_1(1270)$ double-pole structure in the $\bar{B}\to J/\psi \rho\bar{K}$ and $\bar{B}\to J/\psi \bar{K}^*\pi$ decays