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arXiv · 1309.4743

Scattering lengths of Nambu-Goldstone bosons off $D$ mesons and dynamically generated heavy-light mesons

M. Altenbuchinger·L. -S. Geng·W. Weise
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Abstract

Recent lattice QCD simulations of the scattering lengths of Nambu-Goldstone bosons off the $D$ mesons are studied using unitary chiral perturbation theory. We show that the Lattice QCD data are better described in the covariant formulation than in the heavy-meson formulation. The $D^*_{s0}(2317)$ can be dynamically generated from the coupled-channels $DK$ interaction without \textit{a priori} assumption of its existence. A new renormalization scheme is proposed which manifestly satisfies chiral power counting rules and has well-defined behavior in the infinite heavy-quark mass limit. Using this scheme we predict the heavy-quark spin and flavor symmetry counterparts of the $D^*_{s0}(2317)$.

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M. Altenbuchinger, L. -S. Geng, W. Weise. 2014-01-23. Scattering lengths of Nambu-Goldstone bosons off $D$ mesons and dynamically generated heavy-light mesons. https://doi.org/10.1103/physrevd.89.014026

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