D 1 and D 2 resonances in coupled-channel scattering amplitudes from lattice QCD
Abstract Isospin-1/2 charmed axial-vector D ∗ π − D ∗ η − D s ∗ K ¯ $$ {D}_s^{\ast}\overline{K} $$ scattering amplitudes are computed, along with interactions in several other I = 1/2 J P channels. Using lattice QCD, we work at a light-quark mass corresponding to m π ≈ 391 MeV, where the lowest thre...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2025)060 |
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| Summary: | Abstract Isospin-1/2 charmed axial-vector D ∗ π − D ∗ η − D s ∗ K ¯ $$ {D}_s^{\ast}\overline{K} $$ scattering amplitudes are computed, along with interactions in several other I = 1/2 J P channels. Using lattice QCD, we work at a light-quark mass corresponding to m π ≈ 391 MeV, where the lowest three-hadron threshold (Dππ) lies high enough to enable a rigorous treatment of this system considering only two-hadron scattering channels. At this light-quark mass, an axial-vector D 1 bound state is observed just below D ∗ π threshold, that is strongly coupled to D ∗ π in a relative S-wave and influences a wide energy region up to the D ∗ η threshold. An axial-vector D 1 ′ $$ {D}_1^{\prime } $$ resonance is observed in the elastic D ∗ π energy-region, which is coupled more strongly to D-wave D ∗ π. A single narrow tensor state is seen in J P = 2+ coupled to both Dπ and D ∗ π. In the region where D ∗ η and D s ∗ K ¯ $$ {D}_s^{\ast}\overline{K} $$ are kinematically open, the available energy levels indicate significant S-wave interactions. Upon searching this region for poles, several possibilities exist with large uncertainties. One additional state consistently arises, predominantly coupled to the S-wave D ∗ π − D ∗ η − D s ∗ K ¯ $$ {D}_s^{\ast}\overline{K} $$ amplitudes around the upper energy limit of this analysis. |
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| ISSN: | 1029-8479 |