By looking at the pseudoscalar-vector meson spectra in the $\overline{B}\to J/\psi \rho \overline{K}$ and $\overline{B}\to J/\psi {\overline{K}}^{*}\pi$ weak decays, we theoretically investigate the double-pole structure of the $K_1(1270)$ resonance by using the chiral unitary approach to account for the final-state interactions between the pseudoscalar ($P$) and vector ($V$) mesons. The $K_1(1270)$ resonance is dynamically generated through these interactions in coupled channels and influences the shape of the invariant mass distributions under consideration. We show how these shapes are affected by the $K_1(1270)$ double-pole structure to confront the results from our model with future experiments that might investigate the $PV$ spectra in these decays.

• Received 22 February 2021
• Accepted 24 May 2021

DOI:https://doi.org/10.1103/PhysRevD.103.116019

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Published by the American Physical Society