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

Scattering lengths of Nambu-Goldstone bosons off $D$ mesons and dynamically generated heavy-light mesons
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DOI:
10.1103/physrevd.89.014026
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发表时间:
2013-09
期刊:
影响因子:
5
通讯作者:
M. Altenbuchinger;L. Geng;W. Weise
M. Altenbuchinger;L. Geng;W. Weise
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
M. Altenbuchinger;L. Geng;W. Weise

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用酉手征微扰理论研究了最近格子QCD模拟Nambu-Goldstone玻色子在D介子上的散射长度。结果表明,与重介子形式相比,协变形式能更好地描述晶格QCD数据。$D^*{s0}(2317)$可以从耦合通道$dk$相互作用中动态生成,而不需要先验假设它的存在。提出了一种新的重整化方案,该方案明显满足手征功率计数规则,并且在无限重夸克质量极限下具有明确的行为。利用这个方案,我们预测了重夸克自旋和味道对称性的对应物D^s0}(2317)$。
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 $D^*_{s0}(2317)$.