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Status of quarkonia - like negative and positive parity states in a relativistic confinement scheme

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arxiv 1803.07249 v1 pith:RY7JFYK3 submitted 2018-03-20 hep-ph

classification hep-ph
keywords statesdecayleptoniclikemixedwidthcharmoniumquarkonia
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Properties of quarkonia - like states in the charm and bottom sector have been studied in the frame work of relativistic Dirac formalism with a linear confinement potential. We have computed the mass spectroscopy and decay properties (vector decay constant and leptonic decay width) of several quarkonia - like states. Present study is also intended to identify some of the unexplained states as mixed P-wave and mixed S-D wave states of Charmonia and Bottomonia. The results indicate that the X(4140) state can be an admixture of two P states of charmonium. And the charmonium like states X(4630) and X(4660) are the admixed state of S - D waves. Similarly, the $X(10610)$ state recently reported by Belle II can be a mixed P - states of bottomonium. In the relativistic framework we have computed vector decay constant and the leptonic decay width for S wave charmonium and bottomonium. The leptonic decay width for the $J^{PC} = 1^{--}$ mixed states are also predicted. Further, both the masses and the leptonic decay width are considered for the identification of the quarkonia-like states.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Systematic analysis of the transition form factors of $B_c$ to $D$-wave charmonia and corresponding semileptonic decays

    hep-ph 2025-10 conditional novelty 6.0 of 10

    A QCD sum-rule calculation predicts B_c semileptonic branching ratios to D-wave charmonia of order 10^-3 (ψ1), 10^-4 (ψ2 and η_c2), and 10^-5 (ψ3), decreasing with final-state angular momentum.

  2. Study of $1^{--}$ P wave charmoniumlike and bottomoniumlike tetraquark spectroscopy

    hep-ph 2025-03 unverdicted novelty 3.0 of 10

    Constituent quark model with imported meson parameters predicts lowest 1-- P-wave tetraquark mass near 4.15 GeV and proposes that ψ(4230), ψ(4360), ψ(4660), and Υ(10753) may be such states with possible multiples near...

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