Open charm and bottom tetraquarks in an extended relativized quark model

TL;DR

This paper systematically calculates the mass spectra of open charm and bottom tetraquarks using an extended relativized quark model, providing predictions that challenge some experimental assignments and suggesting new search avenues.

Contribution

It introduces an extended relativized quark model to compute tetraquark masses, offering detailed spectra and insights into flavor symmetries and experimental implications.

Findings

Predicted masses of certain $0^+$ tetraquark states disfavor their identification with $X_0(2900)$.

Mass spectra exhibit patterns consistent with SU(3) flavor and heavy quark symmetries.

Suggests experimental searches for exotic states in heavy-light meson plus kaon channels.

Abstract

In present work, we systematically calculate the mass spectra of open charm and bottom tetraquarks $q q\bar q \bar Q$ within an extended relativized quark model. The four-body relativized Hamiltonians including the Coulomb potential, confining potential, spin-spin interactions, and relativistic corrections are solved by using the variational method. It is found that the predicted masses of four $0^+$ $ud\bar s \bar c$ states are 2765, 3065, 3152, and 3396 MeV, which disfavor the assignment of the newly observed $X_0(2900)$ as a compact tetraquark. Moreover, the whole mass spectra of the open charm and bottom tetraquarks show quite similar patterns, which preserve the light flavor SU(3) symmetry and heavy quark symmetry well. In addition, our results suggest that the flavor exotic states $nn\bar s \bar c$, $nn\bar s \bar b$, $ss\bar n \bar c$, and $ss\bar n \bar b$ and their antiparticles can be searched in the heavy-light meson plus kaon final states by future experiments. More theoretical and experimental efforts are needed to investigate these singly heavy tetraquarks.