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arXiv 1404.3771hep-phhep-exhep-latnucl-th
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标量介子扇区的近质量简并：对$B^*_{(s)0}$和$B'_{(s)1}$介子的影响

Near Mass Degeneracy in the Scalar Meson Sector: Implications for $B^*_{(s)0}$ and $B'_{(s)1}$ Mesons

Hai-Yang Cheng, Fu-Sheng Yu

备注：
23 pages, 2 figures, Tables 2 and 4 revised and a new figure 2 added; to appear in PRD
发表信息：
Phys. Rev. D 89, 114017 (2014)
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摘要：

实验观察到的1GeV以上标量介子的近简并性，即奇异味标量介子的质量与非奇异味标量介子的质量相似，与夸克模型的朴素预期不符。定性地说，近似质量简并度可以理解为强耦合通道的自能效应的结果，强耦合通道将使重标量介子在奇异扇区中的质量比在非奇异伙伴中的质量更低。然而，在没有重夸克展开的传统模型中，由于质量简并度和$D_{s0}^*$和$D_0^*$的物理质量不能同时考虑，所以在重介子手征微扰理论的方法中，它是不成立的。在重夸克极限下，在标量粲扇形中观察到的近质量简并将意味着在$B$系统中的相同现象。我们有基于重夸克对称性和首阶QCD修正的预测$M_{B_0^*}\approx M_{B_{s0}^*}\approx 5715\,{\rm MeV}+δΔ_S$，其中$δΔ_S$来自于$1/m_Q$修正。粗略估计表明，$δΔ_S$的量级在$-35$ MeV以下.我们强调，由重夸克对称性所暗示的$B_{s0}^*$和$B_0^*$质量的接近性不受$1/m_Q$或QCD修正的破坏.讨论了$K_0^*(1430)$的质量移动效应。

英文摘要：

The empirical observation of near degeneracy of scalar mesons above 1 GeV, namely, the mass of the strange-flavor scalar meson is similar to that of the non-strange one, is at variance with the naive expectation of the quark model. Qualitatively, the approximate mass degeneracy can be understood as a consequence of self-energy effects due to strong coupled channels which will push down the mass of the heavy scalar meson in the strange sector more than that in the non-strange partner. However, it works in the conventional model without heavy quark expansion, but not in the approach of heavy meson chiral perturbation theory as mass degeneracy and the physical masses of $D_{s0}^*$ and $D_0^*$ cannot be accounted for simultaneously. In the heavy quark limit, near mass degeneracy observed in the scalar charm sector will imply the same phenomenon in the $B$ system. We have the prediction $M_{B_0^*}\approx M_{B_{s0}^*}\approx 5715\,{\rm MeV}+δΔ_S$ based on heavy quark symmetry and the leading-order QCD correction, where $δΔ_S$ arises from $1/m_Q$ corrections. A crude estimate indicates that $δΔ_S$ is of order $-35$ MeV or less. We stress that the closeness of $B_{s0}^*$ and $B_0^*$ masses implied by heavy quark symmetry is not spoiled by $1/m_Q$ or QCD corrections. The mass-shift effect on $K_0^*(1430)$ is discussed.

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