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.

中文翻译：

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揭示B¯→J/ψρK¯和B¯→J/ψK¯*π衰变中的K1(1270)双极结构

通过观察中的赝标量矢量介子谱 $\overline{乙}\to J/\psi \rho \overline{钾}$ 和 $\overline{乙}\to J/\psi {\overline{钾}}^{*}\pi$ 弱衰变，我们从理论上研究了双极结构 ${钾}_1(1270)$ 通过使用手性幺正方法来解释伪标量之间的终态相互作用（$磷$) 和向量 ($伏$) 介子。这${钾}_1(1270)$共振是通过耦合通道中的这些相互作用动态产生的，并影响所考虑的不变质量分布的形状。我们展示了这些形状如何受到${钾}_1(1270)$ 双极结构，以应对我们模型的结果，以及未来可能研究 $磷伏$ 这些衰变中的光谱。