论文标题
强耦合时双重重桶的有效野外理论
Effective field theory for double heavy baryons at strong coupling
论文作者
论文摘要
我们提出了一种有效的侧面理论，该理论超出了紧凑的重型diquark近似值。重Quark距离$ r $仅限于$ M_Q \ gg 1/r \ gg e_ {bin} $，其中$ m_q $是重夸克的质量，$ e_ {bin} $典型的结合能量。这意味着重型diquark的大小可能与轻型强子的典型大小一样大。我们从非权威主义QCD开始，并在$ 1/m_q $扩展中以近代领先的方式构建有效的现场理论。在领先顺序上，有效的田间理论将减少到Born-Oppenheimer近似。 BO电位是从可用的晶格QCD数据中获得的。低于阈值的双魅力重子的光谱与大多数晶格QCD结果兼容。我们首次基于QCD的阈值以下首次提出了全旋转双底底baryon频谱。我们还为自旋分割提供了独立的模型公式。
We present an effective field theory for doubly heavy baryons that goes beyond the compact heavy diquark approximation. The heavy-quark distance $r$ is only restricted to $m_Q\gg 1/r \gg E_{bin}$, where $m_Q$ is the mass of the heavy quark and $E_{bin}$ the typical binding energy. This means that the size of the heavy diquark can be as large as the typical size of a light hadron. We start from Non-Relativistic QCD, and build the effective field theory at next-to-leading in the $1/m_Q$ expansion. At leading order the effective field theory reduces to the Born-Oppenheimer approximation. The BO potentials are obtained from available lattice QCD data. The spectrum for double charm baryons below threshold is compatible with most of the lattice QCD results. We present for the first time the full spin averaged double bottom baryon spectrum below threshold based on QCD. We also present model-independent formulas for the spin splittings.
