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Mass-Spectroscopy of Hidden Charm and Hidden Strange Tetraquarks in Diquark-Antidiquark Approach

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Abstract

We investigated the four-quark systems with quark structures of \(cs\bar{c}\bar{s}\), \(cq\bar{c}\bar{s}\), \(bs\bar{b}\bar{s}\), and \(bq\bar{b}\bar{s}\) in the framework of the non-relativistic quark model, motivated by the recent observation of exotic resonances X(4140), X(4274), X(4350), X(4500), and X(4700) reported by several experiment collaborations. The colour antitriplet-triplet configuration of diquark-antidiquark combinations with all conceivable quantum numbers have been used to calculate their masses. The results reveal that if the colour structure of the diquark-antidiquark configuration is \(\bar{3}_{c} \otimes 3\), the tetraquarks structures may occur otherwise may observed as resonance. The X(4274) state, can be defined as the \(J^{PC}=2^{++}\) tetraquark state, while the X(4140) state can be regarded as the \(J^{PC}=1^{++}\) tetraquark state in this calculation. When radial excitation is considered, X(4700) may be explained as a 2 S radial excited tetraquark state with \(J^{PC}=0^{++}\). The orbitally excited states Y(4626), Y(4630) and Y(4660) can be explained as P-wave tetraquark with quantum number \(1^{{-}{-}}\). The masses of [\(bs\bar{b}\bar{s}\)] and [\(bq\bar{b}\bar{s}\)] are found to be in the range between 10.5 and 11.5 GeV and are very close to two-meson thresholds.

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Authors and Affiliations

  1. Department of Physics, Sardar Vallabhbhai National Institute of Technology, Surat, Gujarat, 395007, India

    Rohit Tiwari & Ajay Kumar Rai

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  1. Rohit Tiwari
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Tiwari, R., Rai, A.K. Mass-Spectroscopy of Hidden Charm and Hidden Strange Tetraquarks in Diquark-Antidiquark Approach. Few-Body Syst 64, 20 (2023). https://doi.org/10.1007/s00601-023-01805-0

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