Coupled-channel scattering of $DD, DD^*$ and $D^* D^*$ in isospin-$1$ from lattice QCD
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| Format: | Preprint |
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2025
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| _version_ | 1866918267862384640 |
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| author | Lachini, Nelson Pitanga Thomas, Christopher E. Wilson, David J. |
| author_facet | Lachini, Nelson Pitanga Thomas, Christopher E. Wilson, David J. |
| contents | The first coupled-channel determination of two-body $D$ and $D^*$ scattering amplitudes in isospin-$1$ from lattice quantum chromodynamics is presented. Using three lattice volumes at $m_π\approx 391~\mathrm{MeV}$, finite-volume energies relevant for the channels of interest are determined. Through the Lüscher formalism, these energies are used to constrain amplitudes of coupled $J^P=0^+$ $DD - DD^*$, $J^P=1^+$ $DD^*- D^*D^*$ and $J^P=2^+$ $DD - DD^* - D^* D^*$ scattering. All channels feature weakly repulsive interactions in $S$ wave, except for a weak $D^* D^*$ attraction in $J^P=0^+$. No amplitude singularities corresponding to physical states are found. Some of these amplitudes will be a necessary component of future lattice QCD analyses of $DDπ$ and $DD^*$ scattering taking into account three-body and left-hand cut effects. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_01363 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Coupled-channel scattering of $DD, DD^*$ and $D^* D^*$ in isospin-$1$ from lattice QCD Lachini, Nelson Pitanga Thomas, Christopher E. Wilson, David J. High Energy Physics - Lattice High Energy Physics - Phenomenology The first coupled-channel determination of two-body $D$ and $D^*$ scattering amplitudes in isospin-$1$ from lattice quantum chromodynamics is presented. Using three lattice volumes at $m_π\approx 391~\mathrm{MeV}$, finite-volume energies relevant for the channels of interest are determined. Through the Lüscher formalism, these energies are used to constrain amplitudes of coupled $J^P=0^+$ $DD - DD^*$, $J^P=1^+$ $DD^*- D^*D^*$ and $J^P=2^+$ $DD - DD^* - D^* D^*$ scattering. All channels feature weakly repulsive interactions in $S$ wave, except for a weak $D^* D^*$ attraction in $J^P=0^+$. No amplitude singularities corresponding to physical states are found. Some of these amplitudes will be a necessary component of future lattice QCD analyses of $DDπ$ and $DD^*$ scattering taking into account three-body and left-hand cut effects. |
| title | Coupled-channel scattering of $DD, DD^*$ and $D^* D^*$ in isospin-$1$ from lattice QCD |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2505.01363 |