论文标题
$ 1/n_c $扩展的Tetraquark电流的两点功能的OPE和Quark-Hadron二重性
OPE and quark-hadron duality for two-point functions of tetraquark currents in $1/N_c$ expansion
论文作者
论文摘要
我们讨论了针对四夸克电流的两点绿色功能的操作员产品扩展（OPE）和夸克 - 戴隆二元性。我们强调，此类绿色功能的OPE系列的可分解部分，包括QCD冷凝物所描述的非驱动性贡献，已被普通HADRON的完整系统饱和，因此与可能的Tetraquark绑定状态没有任何关系。可能的四夸克结合状态可能包含在这些绿色功能的不可分割的部分中。在QCD $（N_C）$中的$ 1/n_c $扩展的框架中，与$ N_C $ n_c $ -N_C $可衡量的零件相比，Tetraquark Currents的两点绿色功能的不可测量可提供$ N_C $抑制的贡献。可能的异国情调的四夸克状态可能仅出现在$ n_c $ - 对QCD绿色功能的出版贡献中，这完全与众所周知的严格属性相关。
We discuss the Operator Product Expansion (OPE) and quark-hadron duality for two-point Green functions of tetraquark currents. We emphasize that the factorizable part of the OPE series for such Green functions, including nonperturbative contributions described by QCD condensates, is saturated by the full system of ordinary hadrons and therefore cannot have any relationship to the possible tetraquark bound states. Possible tetraquark bound states may be contained in nonfactorizable parts of these Green functions. In the framework of the $1/N_c$ expansion in QCD$(N_c)$, nonfactorizable parts of the two-point Green functions of tetraquark currents provide $N_c$-suppressed contributions compared to the $N_c$-leading factorizable parts. A possible exotic tetraquark state may appear only in $N_c$-subleading contributions to the QCD Green functions, in full accord with the well-known rigorous properties of large-$N_c$ QCD.
