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arXiv 2109.02203hep-phnucl-th
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真空和弱磁场中组分夸克轴流与轻矢量介子的耦合

Constituent quark axial current couplings to light vector mesons in the vacuum and with a weak magnetic field

F. L. Braghin

摘要:

在真空和弱磁场下,考虑由非微扰胶子交换介导的夸克-反夸克相互作用,导出了夸克轴流与光矢量介子的反常耦合$ρ$和$ω$.同样地,轻轴介子被发现与组分夸克矢量流的耦合是错误的。这些相互作用是Wess-Zumino-Witten项的类型,是强烈的各向异性和依赖于矢量(或轴向)介子极化。它们也为矢量(轴向)介子提供轴向(矢量)形状因子,并且非常小,几乎被$1/{M^*}^2$抑制,相对于矢量介子与夸克矢量流的最小耦合。还提出了三个腿介子顶点:$π-ρ-A_1$和$V_1V_2 A$(其中$V_1,V_2$是矢量介子,$A$是轴向介子).在非零磁场下,矢量介子和轴矢量介子的混合被确定,然而,这只能在第三粒子存在或介质中起作用。数值结果给出了不同的有效胶子传播子。

英文摘要:

Unusual constituent quark axial current couplings to light vector mesons, $ρ$ and $ω$, are derived in the vacuum and under weak magnetic field by considering a quark-antiquark interaction mediated by a non perturbative gluon exchange. Similarly, light axial mesons are found to couple anomalously with the constituent quark vector current. These interactions are of the type of the Wess-Zumino-Witten terms, being strongly anisotropic and dependent on the vector (or axial) meson polarization. They also provide axial (vector) form factors for the vector (axial) mesons and are quite small, suppressed nearly by $1/{M^*}^2$ with respect to the vector mesons minimal coupling to the quark vector current. Some three leg meson vertices are also presented: $π-ρ-A_1$ and $V_1V_2 A$ (where $V_1,V_2$ are vector mesons and $A$ an axial meson). A vector and axial-vector mesons mixing is identified at non zero magnetic field which however can contribute only in the presence of a third particle or in a medium. Numerical results are presented for different effective gluon propagators.

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