Finite- and infinite-volume study of DDπ scattering
Abstract We develop a comprehensive framework for extracting the pole position and properties of the doubly-charmed tetraquark T cc + 3875 $$ {T}_{\textrm{cc}}^{+}(3875) $$ from lattice QCD data using the relativistic three-particle formalism. This approach incorporates the effect of the one-pion ex...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2025)060 |
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| Summary: | Abstract We develop a comprehensive framework for extracting the pole position and properties of the doubly-charmed tetraquark T cc + 3875 $$ {T}_{\textrm{cc}}^{+}(3875) $$ from lattice QCD data using the relativistic three-particle formalism. This approach incorporates the effect of the one-pion exchange diagram in DDπ and DD ∗ scattering, making it applicable at energies coinciding with the left-hand cut in the partial-wave projected DD ∗ amplitude. We present an example application of this framework to existing lattice QCD data at m π = 280 MeV. We solve the integral equations describing the DDπ reaction, use LSZ reduction to determine the corresponding DD ∗ amplitude, and find the values of the infinite-volume two- and three-body K matrices that lead to agreement with lattice DD ∗ phase shifts within their uncertainties. Using these K matrices in the three-particle quantization condition, we describe the finite- volume DD ∗ spectrum and find good agreement with the lattice QCD energies. Our results suggest that, at this pion mass, the tetraquark appears as a pair of subthreshold complex poles whose precise location strongly depends on the value of the DDπ three-particle K matrix. |
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| ISSN: | 1029-8479 |