$DK$ $I=0,$ $D\bar{K}$ $I=0,1$ scattering and the $D_{s0}^\ast(2317)$ from lattice QCD
| Autor: | Graham Moir, Gavin K. C. Cheung, David J. Wilson, Christopher E. Thomas, Sinead M. Ryan, Mike Peardon |
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| Rok vydání: | 2020 |
| Předmět: |
Physics
Elastic scattering Nuclear and High Energy Physics Overline 010308 nuclear & particles physics Scattering High Energy Physics - Lattice (hep-lat) FOS: Physical sciences Lattice QCD 01 natural sciences Spectral line High Energy Physics - Phenomenology High Energy Physics - Lattice Amplitude High Energy Physics - Phenomenology (hep-ph) 0103 physical sciences Bound state Atomic physics 010306 general physics Energy (signal processing) |
| DOI: | 10.48550/arxiv.2008.06432 |
| Popis: | Elastic scattering amplitudes for $I=0$ $DK$ and $I=0,1$ $D\bar{K}$ are computed in $S$, $P$ and $D$ partial waves using lattice QCD with light-quark masses corresponding to $m_\pi = 239$ MeV and $m_\pi = 391$ MeV. The $S$-waves contain interesting features including a near-threshold $J^P=0^+$ bound state in $I=0$ $DK$, corresponding to the $D_{s0}^\ast(2317)$, with an effect that is clearly visible above threshold, and suggestions of a $0^+$ virtual bound state in $I=0$ $D\bar{K}$. The $S$-wave $I=1$ $D\bar{K}$ amplitude is found to be weakly repulsive. The computed finite-volume spectra also contain a deeply-bound $D^\ast$ vector resonance, but negligibly small $P$-wave $DK$ interactions are observed in the energy region considered; the $P$ and $D$-wave $D\bar{K}$ amplitudes are also small. There is some evidence of $1^+$ and $2^+$ resonances in $I=0$ $DK$ at higher energies. Comment: 53 pages, 22 figures, small changes to match published version |
| Databáze: | OpenAIRE |
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