论文标题

WKB近似在Killingbeck的潜力及其在双重介体质谱中的应用

WKB approximation under Killingbeck potential and its application to double heavy meson mass spectrum

论文作者

chosto, Lhamo, Wang, Ya-rong, Gao, Zhi-bin, Pang, Cheng-qun, Chen, Hao, Kang, Yu-Long

论文摘要

众所周知,非相关或半偏见的夸克模型可以以令人惊讶的精度来描述大量的介子砂baryon性能。在这项工作中,我们通过在组成夸克模型中使用WKB近似来研究杀伤力电位。通过使用适当的量化条件获得Schrödinger方程能量特征值的隐式近似解。在WKB近似值的Killingbeck潜力下,我们研究了双重沉重介子的光谱,并预测了$ C \ bar {C} $,$ b \ bar {b} $和$ b \ bar {c} $ family中高兴奋状态的质量。最后,我们讨论了双重介体在Killingbeck潜力中的应用范围。

As we all known that non-relativistic or semi-relativistic constituent quark models can describe a large number of the meson sand baryon properties with surprising accuracy. In this work, we studied Killingbeck potential by using WKB approximation in the constituent quark model. The implicit approximate solution of the energy eigenvalue of the Schrödinger equation is obtained by using appropriate quantization conditions. Under the Killingbeck potential with the WKB approximation, we studied the spectra of double heavy mesons and predict the masses of high excited states in $c\bar{c}$, $b\bar{b}$ and $b\bar{c}$ families. Finally, we discuss the application scope of double heavy mesons in Killingbeck potential.

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