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We carry out a systematic study of the 1S-wave hidden and double charm-strange tetraquarks cscs and ccss in a nonrelativistic potential quark model framework with the explicitly correlated Gaussian method, and the mass spectra, color-spin configurations and possible decay modes are obtained. We find that although these states are all above their open flavor thresholds, their rearrangement decay widths are rather narrow which can be understood by the mismatching of the wave functions between the initial and final states. It implies that the tetraquarks of cscs and ccss may have a good chance to exist as genuine tetraquark states. It also shows that the color-spin configurations of the cscs and ccss systems are quite different. We find that for a physical state of cscs its color configurations can be dominated by either the |11₂ or |88₂ ones. It suggests that some hidden charm-strange tetraquark states may strongly couple to two color-singlet hadrons if the kinematics and dynamics allow. In contrast, we find that the color configurations |11₂ and |88₂ in a double charm-strange ccss state are rather compatible. It may suggest that an overall color-singlet tetraquark (i. e. a genuine color-singlet) should always play a role in the T₂₂ₒₒ states. Discussions taking into account some experimental candidates are presented, and suggestions on further experimental searches are also made.
Liu et al. (Sun,) studied this question.