Strong decays of the charmonium-like state and radiative transitions of low-lying charmoniums

The recently reported strong decays of the charmonium-like state by the BESIII collaboration and the dominant radiative transitions of the charmonium low-lying excited states are studied within a covariant quark model by involving the analytic confinement concept. The resonance is interpreted as a f...

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Bibliographic Details
Published in:Theoretical and mathematical physics 2023, Vol.216 (3), p.1326-1336
Main Author: Ganbold, G.
Format: Article
Language:English
Subjects:
14/34
639/766/189
639/766/530
639/766/747
Amplitudes
Applications of Mathematics
Collaboration
Cooperation
Couplings
Decay
Helicity
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quark models
Quarks
Resonance
Theoretical
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Summary:The recently reported strong decays of the charmonium-like state by the BESIII collaboration and the dominant radiative transitions of the charmonium low-lying excited states are studied within a covariant quark model by involving the analytic confinement concept. The resonance is interpreted as a four-quark state of molecular type. We use the compositeness condition to eliminate any constituent degrees of freedom from the space of physical states and rigorously fix the renormalized couplings of the hadron states. The helicity amplitudes, or Lorentz structures, are used to express the gauge-invariant transition amplitudes of the processes under consideration. The fractional strong decay width of is calculated, as is the branching ratio of strong decays (via the resonance) with hidden charms, , as measured by the BESIII Collaboration in 2022. Only one common adjustable parameter for the charmonium states , , , , , and is introduced to describe the quark distribution inside the hadron. We calculate the fractional widths of one-photon radiative decays for the states , , , and . Our estimates of the decay widths of the processes under consideration are in reasonable agreement with the latest experimental data.
ISSN:0040-5779
1573-9333
DOI:10.1134/S0040577923090076