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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| Format: | Article |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)060 |
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| author | Sebastian M. Dawid Fernando Romero-López Stephen R. Sharpe |
| author_facet | Sebastian M. Dawid Fernando Romero-López Stephen R. Sharpe |
| author_sort | Sebastian M. Dawid |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-59c1b14a6e5040578a14a3e1fc7910cc |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-59c1b14a6e5040578a14a3e1fc7910cc2025-01-19T12:06:46ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025115810.1007/JHEP01(2025)060Finite- and infinite-volume study of DDπ scatteringSebastian M. Dawid0Fernando Romero-López1Stephen R. Sharpe2Physics Department, University of WashingtonAlbert Einstein Center, Institute for Theoretical Physics, University of BernPhysics Department, University of WashingtonAbstract 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.https://doi.org/10.1007/JHEP01(2025)060Hadronic SpectroscopyStructure and InteractionsLattice QCD |
| spellingShingle | Sebastian M. Dawid Fernando Romero-López Stephen R. Sharpe Finite- and infinite-volume study of DDπ scattering Journal of High Energy Physics Hadronic Spectroscopy Structure and Interactions Lattice QCD |
| title | Finite- and infinite-volume study of DDπ scattering |
| title_full | Finite- and infinite-volume study of DDπ scattering |
| title_fullStr | Finite- and infinite-volume study of DDπ scattering |
| title_full_unstemmed | Finite- and infinite-volume study of DDπ scattering |
| title_short | Finite- and infinite-volume study of DDπ scattering |
| title_sort | finite and infinite volume study of ddπ scattering |
| topic | Hadronic Spectroscopy Structure and Interactions Lattice QCD |
| url | https://doi.org/10.1007/JHEP01(2025)060 |
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