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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.
Source :
JHEP 02 (2021) 100
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 :
arXiv
Journal :
JHEP 02 (2021) 100
Publication Type :
Report
Accession number :
edsarx.2008.06432
Document Type :
Working Paper
Full Text :
https://doi.org/10.1007/JHEP02(2021)100