Near-threshold structures in the Ds+Ds- mass distribution of the decay B+→Ds+Ds-K+
Abstract
Two near-threshold peaking structures with spin-parities JPC=0++ were recently discovered by the LHCb Collaboration in the Ds+Ds- invariant mass distribution of the decay B+→Ds+Ds-K+ . The first of them is the resonance X (3960 ), whereas the second one, X0(4140 ), is a structure with the mass around 4140 MeV. To explore their natures and model them, we study the hadronic molecule M =Ds+Ds- and calculate its mass, current coupling, and width. The mass and current coupling of the molecule are extracted from the QCD two-point sum rule analyses by taking into account vacuum condensates up to dimension 10. To evaluate its full width, we consider the processes M →Ds+Ds- , M →ηcη(') , and M →J /ψ ϕ . Partial widths of these decays are determined by the strong couplings gi,i =1 , 2, 3, 4 at vertices M Ds+Ds- , M ηcη(') , and M J /ψ ϕ . They are computed by means of the three-point sum rule method. Predictions for the mass m =(4117 ±85 ) MeV and width ΓM=(62 ±12 ) MeV of the molecule M are compared with the corresponding LHCb data, and also with our results for the diquark-antidiquark state X =[c s ][c ¯ s ¯ ] . We argue that the structure X0(4140 ) may be interpreted as the hadronic molecule Ds+Ds-, whereas the resonance X (3960 ) can be identified with the tetraquark X .
- Publication:
-
Physical Review D
- Pub Date:
- May 2023
- DOI:
- 10.1103/PhysRevD.107.094018
- arXiv:
- arXiv:2303.02457
- Bibcode:
- 2023PhRvD.107i4018A
- Keywords:
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- High Energy Physics - Phenomenology;
- High Energy Physics - Experiment;
- High Energy Physics - Lattice
- E-Print:
- 11 Pages, 4 Figures and 1 Table