Finite- and infinite-volume study of DDπ scattering
We develop a comprehensive framework for extracting the pole position and properties of the doubly-charmed tetraquark T 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, m...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Springer Berlin Heidelberg
2025
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| Online Access: | https://hdl.handle.net/1721.1/158062 |
| _version_ | 1824458232472535040 |
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| author | Dawid, Sebastian M. Romero-López, Fernando Sharpe, Stephen R. |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Dawid, Sebastian M. Romero-López, Fernando Sharpe, Stephen R. |
| author_sort | Dawid, Sebastian M. |
| collection | MIT |
| description | We develop a comprehensive framework for extracting the pole position and properties of the doubly-charmed tetraquark T 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 mπ = 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. |
| first_indexed | 2025-02-19T04:22:37Z |
| format | Article |
| id | mit-1721.1/158062 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2025-02-19T04:22:37Z |
| publishDate | 2025 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1580622025-01-24T20:38:37Z Finite- and infinite-volume study of DDπ scattering Dawid, Sebastian M. Romero-López, Fernando Sharpe, Stephen R. Massachusetts Institute of Technology. Center for Theoretical Physics We develop a comprehensive framework for extracting the pole position and properties of the doubly-charmed tetraquark T 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 mπ = 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. 2025-01-24T20:38:35Z 2025-01-24T20:38:35Z 2025-01-09 2025-01-12T04:14:47Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/158062 Dawid, S.M., Romero-López, F. & Sharpe, S.R. Finite- and infinite-volume study of DDπ scattering. J. High Energ. Phys. 2025, 60 (2025). PUBLISHER_CC en https://doi.org/10.1007/JHEP01(2025)060 Journal of High Energy Physics Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Dawid, Sebastian M. Romero-López, Fernando Sharpe, Stephen R. Finite- and infinite-volume study of DDπ scattering |
| 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 |
| url | https://hdl.handle.net/1721.1/158062 |
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