Theoretical study of the open-flavor tetraquark $T_{c\bar{s}}(2900)$ in the process $\bar{B}_s^0 \to K^0 D^0 \pi^0$

TL;DR

This theoretical study predicts a clear experimental signature of the open-flavor tetraquark $T_{c\bar{s}}(2900)$ in the decay process $\bar{B}_s^0 \to K^0 D^0 \pi^0$, aiding its future detection.

Contribution

The work proposes the decay process $\bar{B}_s^0 \to K^0 D^0 \pi^0$ as a promising way to confirm the $T_{c\bar{s}}(2900)^0$ tetraquark, incorporating intermediate resonances in the analysis.

Findings

A peak of $T_{c\bar{s}}(2900)$ appears in the $K^0 D^0$ invariant mass distribution.

The process can be tested in future experiments for tetraquark confirmation.

Intermediate resonances influence the decay dynamics.

Abstract

Recently, the LHCb Collaboration has measured two decay processes $B^0\to\bar{D}^0D_s^+\pi^-$ and $B^+\to D^-D_s^+\pi^+$ related to isospin symmetry, where two new open-flavor tetraquark states $T_{c\bar{s}}(2900)^0$ and $T_{c\bar{s}}(2900)^{++}$ that belong to an isospin triplet were observed in the $D_s^+\pi^-$ and $D_s^+\pi^+$ invariant mass distributions. In this work, we have investigated the validity of the process $\bar{B}_s^0\to K^0D^0\pi^0$ as the promising process to confirm the existence of $T_{c\bar{s}}(2900)^0$ resonance. Taking into account the tetraquark state $T_{c\bar{s}}(2900)$, as well as intermediate resonances $K^*(892)$, $K_0^*(1430)$, and $K_2^*(1430)$, it has been shown that a clear peak of the open-flavor tetraquark $T_{c\bar{s}}(2900)$ appears in the $K^0D^0$ invariant mass distribution of the process $\bar{B}_s^0\to K^0D^0\pi^0$, which could be tested by future experiments.