Are LHCb exotics $T_{c\bar{s}0}(2900)^0$, $T_{c\bar{s}0}(2900)^{++}$ and $\overline{X}_0(2900)$ members of an $SU_F(3)$ ${\bf 6}$-plet?

TL;DR

This paper proposes that the exotic scalar resonances $X_0(2900)^0$, $T_{car{s}0}(2900)^0$, and $T_{car{s}0}(2900)^{++}$ are part of an $SU(3)_F$ ${f 6}$-plet, predicting additional members and their decay channels.

Contribution

It introduces the idea that these resonances form an $SU(3)_F$ ${f 6}$-plet and predicts properties of the missing non-strange member.

Findings

The three observed states are members of an $SU(3)_F$ ${f 6}$-plet.

Predicted decay channels for the missing $D(2900)^{*0}$.

Estimated partial widths for the non-strange member.

Abstract

Manifestly exotic scalar resonance $X_0(2900)^0$ with minimal quark content of $[\bar{c} \bar{s} u d]$ was reported by LHCb in 2020. More recently LHCb reported discovery of manifestly exotic $T_{c\bar{s}0}(2900)^0$ and $T_{c\bar{s}0}(2900)^{++}$ scalar states, degenerate with the $X_0(2900)$. We argue that these are three of six members of the flavor $SU(3)_F$ symmetry ${\bf 6}$-plet. We predict the partial widths of $D(2900)^{*0}$, the crucial non-strange missing member of the tetraquark ${\bf 6}$-plet, and discuss the optimal decay channels for its detection.