In this paper, we investigated the transition form factors of nucleon resonances, in an analytical approach. Employing an improved hypercentral constituent quark model, we obtained analytical eigenfunctions which have been used to calculate the transverse and longitudinal helicity amplitudes for nucleon resonances. We compared the evaluated observables with experimental data and it has been shown that the present model provides a good description of the available data.

中文翻译：

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核共振的电磁跃迁形状因子的分析研究

在本文中，我们以一种分析方法研究了核共振的跃迁形式因子。利用改进的超中心成分夸克模型，我们获得了解析本征函数，已用于计算核子共振的横向和纵向螺旋幅度。我们将评估的可观测值与实验数据进行了比较，结果表明本模型对可用数据提供了很好的描述。