In this article, we study the [Formula: see text] with the QCD sum rules in details by including the two-particle scattering state contributions and nonlocal effects between the diquark and antidiquark constituents. The two-particle scattering state contributions cannot saturate the QCD sum rules at the hadron side, the contribution of the [Formula: see text] plays an unsubstitutable role, we can saturate the QCD sum rules with or without the two-particle scattering state contributions. If there exists a repulsive barrier or spatial distance between the diquark and antidiquark constituents, the Feynman diagrams can be divided into the factorizable and nonfactorizable diagrams. The factorizable diagrams consist of two-colored clusters and lead to a stable tetraquark state. The nonfactorizable Feynman diagrams correspond to the tunneling effects, which play a minor important role in the QCD sum rules, and are consistent with the small width of the [Formula: see text]. It is feasible to apply the QCD sum rules to study the tetraquark states, which begin to receive contributions at the order [Formula: see text], not at the order [Formula: see text].

中文翻译：

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轴向矢量四夸克候选 Zc(3900) 的 QCD 和规则中的两粒子贡献和非局部效应

在本文中，我们通过包括双夸克和反双夸克成分之间的双粒子散射态贡献和非局部效应，详细研究了具有QCD和规则的[公式：见正文]。两粒子散射态贡献不能饱和强子侧的QCD和规则，[公式：见正文]的贡献起着不可替代的作用，我们可以在有或没有两粒子散射态贡献的情况下使QCD和规则饱和. 如果双夸克和反双夸克成分之间存在排斥势垒或空间距离，则费曼图可分为可因式分解图和不可因数分解图。可分解图由两种颜色的簇组成，并导致稳定的四夸克状态。不可分解的费曼图对应于隧道效应，在QCD和规则中起次要作用，与[公式：见正文]的小宽度一致。应用 QCD 和规则来研究四夸克态是可行的，四夸克态开始以 [公式：见文本] 的顺序而不是 [公式：见文本] 的顺序开始接收贡献。