Spectrum of $[cq][\bar{s}\bar{q}]$ tetraquarks: Nature of $D^*_{s0}(2317)$, $D_{s1}(2460)$ and $T^*_{c\bar s0}(2900)$

TL;DR

This paper calculates the mass spectra of cq[ar{s}ar{q}] tetraquarks using a nonrelativistic quark model, interpreting observed states as ground or excited tetraquark configurations and suggesting new states for future experimental verification.

Contribution

It provides a systematic analysis of cq[ar{s}ar{q}] tetraquark states, identifying known mesons as ground states and interpreting recent exotic candidates as excited states within a diquark-antidiquark framework.

Findings

D_{s0}^*(2317) and D_{s1}(2460) are ground states of the tetraquark system.

T^a_{car{s}0}(2900) states are interpreted as radially excited tetraquarks.

Predicted additional tetraquark states around 2450 MeV and 2640-2700 MeV.

Abstract

Motivated by the recent observations of exotic open-charm tetraquark candidates \(T^a_{c\bar{s}0}(2900)^{++}\) and \(T^a_{c\bar{s}0}(2900)^{0}\), we systematically calculate the mass spectra of \([cq][\bar{s}\bar{q}]\) tetraquarks within a nonrelativistic constituent quark potential model. In the model, the tetraquark states are treated as diquark-antidiquark bound systems with an interior interaction similar to the quark-antiquark interaction in conventional mesons. The well established states \(D_{s0}^*(2317)\) with \(J^P=0^+\) and \(D_{s1}(2460)\) with \(J^P=1^+\) could be identified as the two ground states of the \([cq][\bar{s}\bar{q}]\) system. \(T^a_{c\bar{s}0}(2900)^{0}\) and \(T^a_{c\bar{s}0}(2900)^{++}\) could be naturally interpreted as radially excited \(0^+\) tetraquark states with different interior components. Their large mass difference may result from their different interior structure instead of an isospin symmetry breaking. Whether \(T^a_{c\bar{s}0}(2900)^{0}\) and \(T^a_{c\bar{s}0}(2900)^{++}\) belong to an isospin triplet deserves further experimental investigation. In addition, there may be another \(0^+\) \([cq][\bar{s}\bar{q}]\) tetraquark state with mass around $2450$ MeV, which is composed of a $cq$ diquark and a $\bar s\bar q$ antidiquark both with spin-0. In the energy region $2640-2700$ MeV, there may be a $J^P=2^+$ \([cq][\bar{s}\bar{q}]\) tetraquark state composed of the $cq$ diquark and the $\bar s\bar q$ antidiquark both with spin-1.