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$DK$ $I=0,$ $D\bar{K}$ $I=0,1$ scattering and the $D_{s0}^\ast(2317)$ from lattice QCD

Authors :
Cheung, Gavin K. C.
Thomas, Christopher E.
Wilson, David J.
Moir, Graham
Peardon, Michael
Ryan, Sinéad M.
Cheung, Gavin K. C.
Thomas, Christopher E.
Wilson, David J.
Moir, Graham
Peardon, Michael
Ryan, Sinéad M.
Publication Year :
2020

Abstract

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.<br />Comment: 53 pages, 22 figures, small changes to match published version

Details

Database :
OAIster
Publication Type :
Electronic Resource
Accession number :
edsoai.on1246607823
Document Type :
Electronic Resource
Full Text :
https://doi.org/10.1007.JHEP02(2021)100