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$DK$ $I=0,$ $D\bar{K}$ $I=0,1$ scattering and the $D_{s0}^\ast(2317)$ from lattice QCD
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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.
Forward citations
Cited by 8 Pith papers
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Revealing the $D_0^*(2300)$ two-pole structure from lattice data and the SU(3) limit
Lattice data analysis with UChPT finds two I=1/2 poles at physical point with positions 2094-i111 MeV and 2463-i108 MeV; lower pole splits like the sigma on ms=const trajectory and links to 3-bar, higher pole links to...
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Analysis of the $D_0^*(2300)$ resonance from lattice QCD under chiral symmetry
Chiral symmetry corrections in lattice QCD fits shift the D0*(2300) resonance pole closer to the Dπ threshold and reduce its width, while coupled channels produce a two-pole structure.
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$D_1$ and $D_2$ resonances in coupled-channel scattering amplitudes from lattice QCD
Lattice QCD at m_π≈391 MeV finds D1 bound state below D*π threshold strongly coupled in S-wave and D1' resonance in elastic D*π region for I=1/2 charmed channels.
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The $D_{s1}(2460)$ and other open-charm $1^+$ states in relativistic chiral effective field theory
Relativistic U(3) chiral EFT at NLO yields scattering lengths that match lattice data and identifies D_s1(2460) as an SU(3) triplet bound-state pole and D1(2430) as a triplet-sextet pole pair, none of which are conven...
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The $B^{+(0)} \to \bar D^{0(-)} D^{*}_{s0}(2317)^+$ decays and the molecular structure of $D^*_{s0}(2317)$
Using B→D D K data and a two-parameter model, the authors derive B→D D*_s0(2317) branching fractions that agree with experiment within errors, supporting a sizable DK molecular component of D*_s0(2317).
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Symmetrizing relativistic three-body partial wave amplitudes
The authors derive spectator-symmetric three-body partial wave amplitudes using new recoupling coefficients for arbitrary angular momentum and isospin, and demonstrate them with 3π Dalitz distributions.
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Coupled-channel study of the three-body $DDK$ and $D^{*}D^{*}K$
The DDK system supports a deeply bound compact state across wide parameters and possibly a shallow three-body halo state near the D-DK threshold, with negligible D*D*K coupling and no resonances.
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Correlation function and bound state from the $K D_{s0}^*(2317)$ interaction
The K D_s0*(2317) system develops a narrow resonance 40 MeV below threshold under the fixed-center molecular assumption, producing a characteristic correlation function for strong attraction.
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