Abstract

Spectrum, radii, radial wave functions at origin, decay constants, and momentum widths for radial and orbital excited \(B_{c}\) mesons are derived within non-relativistic quark model framework through finding numerical solution of the Schrödinger equation by shooting method. Masses of orbitally excited states are derived with a much simpler method that is developed by combining the uncertainty and variational principles. Masses of \(B_{c}\) mesons are also calculated by using Momentum widths. Besides calculations, theoretical results are compared with the experimental observations which have implications for scalar form factors and leptonic decays of \(B_{c}\) mesons.

中文翻译：

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$$ \ boldsymbol {B} _ {\ boldsymbol {c}} $$介子的性质及其质量的变分约束

摘要

通过射击方法找到薛定ding方程的数值解，在非相对论夸克模型框架内，推导了径向和轨道激发\（B_ {c} \）介子的光谱，半径，原点的径向波函数，衰减常数以及动量宽度。。轨道激发态的质量是通过结合不确定性和变分原理而开发出的更为简单的方法得出的。的群众\（B_ {C} \）介子也通过使用动量宽度计算。除计算外，还将理论结果与实验结果进行比较，这些实验结果对标量形状因数和\（B_ {c} \）介子的轻子衰变具有影响。