In this paper, we study the dynamics of a test particle around a regular black hole (BH) in a non-minimal Einstein-Yang-Mills (EYM) theory and examine the BH shadow. The EYM theory is a non-minimally coupled theory in which curvature couples to non-Abelian gauge fields. We investigate particle motion with parameters in EYM BH for massless and massive particles. This work provides the horizon structure, photon radius and inner stable circular orbit (ISCO) of a mass particle with EYM BH parameters. An analysis is provided of the effective potential as well as the possible orbits for test particles under various EYM BH parameters values. In timelike radial geodesics, we find that for smaller values of magnetic charge, particles following a timelike radial geodesic are more hasty in EYM BH, and hence arrive at the center faster than those traveling a Schwarzschild BH geodesic. However, at larger values of the magnetic charge, the inverse effect is observed. The effect of model parameters is investigated in order to study the ISCO, photon radius, orbit stability (Lyapunov exponent), and effective force on particles for the BH in the EYM theory. Finally, we investigate the BH shadow. We find that higher magnetic charge values and non-minimal coupling parameters result in smaller shadow radius values.

在本文中，我们研究了非最小爱因斯坦-杨-米尔斯 (EYM) 理论中规则黑洞 (BH) 周围测试粒子的动力学，并检查了 BH 阴影。EYM 理论是一种非最小耦合理论，其中曲率耦合到非阿贝尔规范场。我们使用 EYM BH 中的参数研究无质量和有质量粒子的粒子运动。这项工作提供了具有 EYM BH 参数的质量粒子的视界结构、光子半径和内部稳定圆形轨道 (ISCO)。分析了测试粒子在各种 EYM BH 参数值下的有效势以及可能的轨道。在类时径向测地线中，我们发现，对于较小的磁荷值，遵循类时径向测地线的粒子在 EYM BH 中更加仓促，因此比沿史瓦西 BH 测地线行进的粒子更快到达中心。然而，在磁荷值较大时，会观察到相反的效应。为了研究 EYM 理论中 BH 的 ISCO、光子半径、轨道稳定性（Lyapunov 指数）和粒子上的有效力，研究了模型参数的影响。最后，我们研究 BH 阴影。我们发现较高的磁荷值和非最小耦合参数会导致较小的阴影半径值。