In this paper, the mass spectra of mesons with one or two heavy quarks and their diquarks partners are estimated within a nonrelativistic framework by solving Schrödinger equation with an effective potential inspired by a symmetry preserving Poincaré covariant vector–vector contact interaction model of quantum chromodynamics. Matrix Numerov method is implemented for this purpose. In our survey of mesons with heavy quarks, we fix the model parameter to the masses of groundstates and then extend our calculations for radial excitations and diquarks. The potential model used in this work gives results which are in good agreement with experimental data and other theoretical calculations.

中文翻译：

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非相对论势模型中一个或两个重夸克介子和二夸克的质谱

在本文中，通过求解具有有效势的薛定谔方程，在非相对论框架内估计具有一个或两个重夸克及其双夸克伙伴的介子的质谱，该方程的灵感来自量子色动力学的保持对称性的庞加莱协变矢量-矢量接触相互作用模型。为此目的实现了 Matrix Numerov 方法。在我们对重夸克介子的调查中，我们将模型参数固定为基态的质量，然后将我们的计算扩展到径向激发和二夸克。这项工作中使用的潜在模型给出的结果与实验数据和其他理论计算非常吻合。