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Branching ratios and decay widths of the main, hidden and open charm channels of tetraquark state

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Abstract

\(J^{pc}=\) \(0^{++}\) and \(2^{++}\) states of all charm tetraquark (\([cc][\bar{c}\bar{c}]\)) are investigated in the framework of non-relativistic QCD using diquark-antidiquark coulomb plus power potential of the type \(V_{d\bar{d}}=k_{s} \frac{\alpha _s}{r} + A r^{\nu }\) with power index \(\nu \) varying from 0.1 to 2. We have included the spin hyperfine interaction to obtain masses of \(J^{pc}=\) \(0^{++}\) and \(2^{++}\) states of all charm tetraquark. We have computed branching ratios and decay widths of the main, hidden and open charm channels of tetraquark state with the help of the potential model parameters, masses and the respective radial wave function obtained by our non-relativistic quark model. Our theoretical predictions of the masses as well as the branching ratios and decay widths at power index \(\nu \)=1 are found to be in good accordance with other available theoretical predictions.

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This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The article includes all the theoretical data that has been calculated or examined with other available experimental as well as theoretical data supporting the findings of this study.]

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Authors and Affiliations

  1. Department of Physics, V.S. Patel College of Arts and Science, Veer Narmad South Gujarat University, Surat, Gujarat, 395007, India

    Rahulbhai Mistry & Ajay Majethiya

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  1. Rahulbhai Mistry
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  2. Ajay Majethiya
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Correspondence to Rahulbhai Mistry.

Additional information

Communicated by Eulogio Oset.

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Mistry, R., Majethiya, A. Branching ratios and decay widths of the main, hidden and open charm channels of tetraquark state. Eur. Phys. J. A 59, 107 (2023). https://doi.org/10.1140/epja/s10050-023-01023-6

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