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Can the two-pole structure of the D₀^*(2300) be understood from recent lattice data?
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Can the two-pole structure of the D₀^*(2300) be understood from recent lattice data?
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It was demonstrated in a series of papers employing unitarized chiral perturbation theory that the phenomenology of the scalar open-charm state, the $D_0^*(2300)$, can be understood as the interplay of two poles, corresponding to two scalar-isospin doublet states with different SU(3) flavor content. Within this formalism the lightest open charm positive parity states emerge as being dynamically generated from the scattering of the Goldstone-boson octet off $D$ mesons, a picture that at the same time solves various problems that the experimental observations posed. However, in recent lattice studies of $D\pi$ scattering at different pion masses only one pole was reported in the $D_0^*$ channel, while it was not possible to extract reliable parameters of a second pole from the lattice data. In this paper we demonstrate how this seeming contradiction can be understood and that imposing SU(3) constraints on the fitting amplitudes allows one to extract information on the second pole from the lattice data with minimal bias. The results may also be regarded as a showcase how approximate symmetries can be imposed in the $K$-matrix formalism to reduce the number of parameters.
Forward citations
Cited by 4 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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$D_1$ 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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