The phenomena of hadron mass generating, strong running coupling and radiative transitions of charmonium excited states have been studied in the framework of a relativistic field model with analytic confinement. A meson mass equation is derived and a specific new behavior of the mass-dependent strong coupling \(\mathop {\bar {\alpha }}\nolimits_s \) is revealed in the time-like region. A new infrared fixed point \(\mathop {\bar {\alpha }}\nolimits_s (0) = 1.032\) has been found at origin. Independent and new estimates on the scalar glueball mass, radius and gluon condensate value have been performed. The spectrum of conventional mesons have been calculated by introducing a minimal set of parameters with relative errors less than 1.8 percent compared to the latest data. Accurate estimates of the leptonic decay constants of pseudoscalar and vector mesons have also been performed. Partial decay widths of the dominant radiative transitions of the charmonium orbital excitations have been estimated with reasonable accuracy.

中文翻译：

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介子和胶球，分析限制内的强有效耦合

在具有解析约束的相对论场模型的框架内，研究了强子质量产生，强运行耦合和of激发态的辐射跃迁现象。推导介子质量方程，并在类似时间的区域中揭示了与质量相关的强耦合\（\ mathop {\ bar {\ alpha}} \ nolimits_s \）的特定新行为。在原点发现了一个新的红外定点\（\ mathop {\ bar {\ alpha}} \ nolimits_s（0）= 1.032 \）。对标量胶球质量，半径和胶子凝结物值进行了独立的和新的估计。常规介子谱已通过引入最少的一组参数进行计算，与最新数据相比，其相对误差小于1.8％。伪标量和矢量介子的轻子衰变常数的准确估算也已经进行。已经以合理的精度估算了charm轨道激发的主要辐射跃迁的部分衰减宽度。