Production of the (predicted) $K^*(4307)$ in $B$ decays

TL;DR

This paper investigates the production of the predicted exotic meson $K^*(4307)$ in B meson decays by analyzing specific invariant mass distributions, aiming to provide experimental evidence for its existence.

Contribution

It proposes a method to detect the $K^*(4307)$ in B decays through invariant mass distributions, based on its theoretical three-body state nature.

Findings

Predicted $K^*(4307)$ has a narrow width (~18 MeV).

Analysis of invariant mass distributions can reveal the $K^*(4307)$.

Study supports experimental search for the exotic meson.

Abstract

In this work we study the production of $K^*(4307)$ in $B$ decays by determining the $J/\psi\pi^{+(0)}K^{0}$ and $J/\psi \pi^- K^+$ invariant mass distributions of the processes $B^+\to J/\psi \pi^+\pi^0 K^0$ and $B^+\to J/\psi \pi^+\pi^- K^+$, respectively. Such $K^*(4307)$ has been recently predicted as a three-body state originated from the dynamics involved in the $K D\bar D^*$ system, with the $KD$ subsystem forming the $D^{*}_{s0}(2317)$ in isospin 0, and the $D\bar D^*$ subsystem generating the $X(3872)$ in isospin 0 and the $Z_c(3900)$ in isospin 1. The hidden charm content of $K^*(4307)$ favors its decay to a state like $J/\psi\pi K$ and the study of $B$-decays with these particles in their final states can constitute a way of finding experimental evidences for such an exotic vector meson, whose width, in spite of its large mass, is still quite narrow (around 18 MeV).