Phenomenological potentials describe the quarkonium systems like where they give a good accuracy for the mass spectra. In the present work, we extend one of our previous works in the central case by adding spin-dependent terms to allow for relativistic corrections. By using such terms, we get better accuracy than previous theoretical calculations. In the present work, the mass spectra of the bound states of heavy quarks , and 𝐵𝑐 mesons are studied within the framework of the nonrelativistic Schrödinger equation. First, we solve Schrödinger’s equation by Nikiforov-Uvarov (NU) method. The energy eigenvalues are presented using our new potential. The results obtained are in good agreement with the experimental data and are better than the previous theoretical estimates.

中文翻译：

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重型夸克和反夸克系统的自旋分裂光谱

现象学的潜力描述了诸如 它们为质谱提供了良好的准确性。在当前工作中，我们通过添加自旋相关项来允许相对论更正，从而扩展了中心案例中的先前工作之一。通过使用这些术语，我们可以获得比以前的理论计算更好的准确性。在目前的工作中，重夸克的束缚态的质谱， 和𝐵𝑐介子在非相对论的薛定studied方程的框架内进行研究。首先，我们通过Nikiforov-Uvarov（NU）方法求解Schrödinger方程。能量特征值是使用我们的新势能表示的。获得的结果与实验数据非常吻合，并且优于先前的理论估计。