论文标题

$(i,j^p)的波函数

Wave functions of $(I,J^P) = (\tfrac{1}{2},\tfrac{3}{2}^\mp)$ baryons

论文作者

Liu, Langtian, Chen, Chen, Roberts, Craig D.

论文摘要

使用Poincaré-covariant Quark+Diquark Faddeev方程,我们提供了有关四个最轻的$(i,j^p)=(\ tfrac {1} {2} {2} {2},\ tfrac {3} {3} {2} {2}^\ mp)$ BARYON MULVYERS的结构信息。这些系统可能包含五种不同类型的diquarks。但是,为了获得可靠的结果,足以仅保留等尺度尺度和等轴 - 轴向向量相关性,而后者尤其重要。以低分辨率查看,这些状态的FADDEEV方程式描述与相关的夸克模型图片具有一定的相似之处。也就是说,它们通过轨道角动量激发形成了一组状态:负平等状态主要是$ \ MATHSF P $ - 角色,而正均等状态为$ \ Mathsf d $ wave。但是,仔细观察的结构复杂性要比夸克模型描述的典型表现更大,$ \ Mathsf P $,$ \ Mathsf D $,$ \ Mathsf S $,$ \ Mathsf F $ waves和它们之间的干扰都在形成可观察的物体方面发挥了重要作用。大型动量传递共振电激发测量值可用于测试这些预测,从而可以提供对新兴强体质量性质的见解。

Using a Poincaré-covariant quark+diquark Faddeev equation, we provide structural information on the four lightest $(I,J^P)=(\tfrac{1}{2},\tfrac{3}{2}^\mp)$ baryon multiplets. These systems may contain five distinct types of diquarks; but in order to obtain reliable results, it is sufficient to retain only isoscalar-scalar and isovector-axialvector correlations, with the latter being especially important. Viewed with low resolution, the Faddeev equation description of these states bears some resemblance to the associated quark model pictures; namely, they form a set of states related via orbital angular momentum excitation: the negative parity states are primarily $\mathsf P$-wave in character, whereas the positive parity states are $\mathsf D$ wave. However, a closer look reveals far greater structural complexity than is typical of quark model descriptions, with $\mathsf P$, $\mathsf D$, $\mathsf S$, $\mathsf F$ waves and interferences between them all playing a large role in forming observables. Large momentum transfer resonance electroexcitation measurements can be used to test these predictions and may thereby provide insights into the nature of emergent hadron mass.

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