Internal structure of the $T_{cc}(3875)^+$ from its light-quark mass dependence
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909454760411136 |
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| author | Abolnikov, Michael Baru, Vadim Epelbaum, Evgeny Filin, Arseniy A. Hanhart, Christoph Meng, Lu |
| author_facet | Abolnikov, Michael Baru, Vadim Epelbaum, Evgeny Filin, Arseniy A. Hanhart, Christoph Meng, Lu |
| contents | We employ a chiral effective field theory-based approach to connect $DD^*$ scattering observables at the physical and variable pion masses accessible in lattice QCD simulations. We incorporate all relevant scales associated with three-body $DDπ$ dynamics and the left-hand cut induced by the one-pion exchange for pion masses higher than the physical one, as required by analyticity and unitarity. By adjusting the contact interactions to match experimental data at the physical pion mass and lattice finite-volume energy levels at $m_π = 280$ MeV, we predict the trajectory of the $T_{cc}$ pole as a function of the pion mass, finding it consistent with the hadronic-molecule scenario. In particular, we find that the explicit treatment of the one-pion exchange has a pronounced effect on the pole trajectory for $m_π\gtrsim 230$ MeV by pushing it into the complex energy plane. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_04649 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Internal structure of the $T_{cc}(3875)^+$ from its light-quark mass dependence Abolnikov, Michael Baru, Vadim Epelbaum, Evgeny Filin, Arseniy A. Hanhart, Christoph Meng, Lu High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice Nuclear Theory We employ a chiral effective field theory-based approach to connect $DD^*$ scattering observables at the physical and variable pion masses accessible in lattice QCD simulations. We incorporate all relevant scales associated with three-body $DDπ$ dynamics and the left-hand cut induced by the one-pion exchange for pion masses higher than the physical one, as required by analyticity and unitarity. By adjusting the contact interactions to match experimental data at the physical pion mass and lattice finite-volume energy levels at $m_π = 280$ MeV, we predict the trajectory of the $T_{cc}$ pole as a function of the pion mass, finding it consistent with the hadronic-molecule scenario. In particular, we find that the explicit treatment of the one-pion exchange has a pronounced effect on the pole trajectory for $m_π\gtrsim 230$ MeV by pushing it into the complex energy plane. |
| title | Internal structure of the $T_{cc}(3875)^+$ from its light-quark mass dependence |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice Nuclear Theory |
| url | https://arxiv.org/abs/2407.04649 |