发表机构
Tezpur University（特佐普尔大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究采用非相对论势模型，结合矩阵Numerov法与变分法，计算B、Bs、Bc介子的相关物理量，结果与实验数据偏差小于0.5%，并与其他理论框架结果对比，明确模型局限性与适用范围。
AI 中文摘要
本工作在非相对论势模型框架下，研究了B、Bs和Bc介子的谱学质量、衰变常数、振荡频率以及Isgur-Wise函数参数。相互作用采用Killingbeck势建模，计算采用两种互补方法：求解薛定谔方程的矩阵Numerov法，以及采用高斯波函数的量子力学变分法。我们通过普通最小二乘法（OLS）将Killingbeck势拟合到Cornell势，确定了其未知参数。这些校准后的参数用于计算上述物理量。我们得到的重介子质量与高精度实验数据的偏差小于0.5%。我们还讨论了非相对论模型的缺点和局限性，强调了其适用范围。最后，我们将两种方法得到的结果与其他理论框架的结果进行了比较，包括QCD求和规则、格点QCD以及其他势模型研究。
英文摘要
In this work, we studied the spectroscopic masses, decay constants, oscillation frequencies, and Isgur-Wise function parameters of $B$, $B_s$, and $B_c$ mesons within the framework of a non-relativistic potential model. The interaction is modelled using the Killingbeck potential, with calculations performed using two complementary approaches: the matrix Numerov method for solving the Schrödinger equation and the quantum mechanical variational method employing the Gaussian wave function. We determined the unknown parameters of the Killingbeck potential by fitting it to the Cornell potential using the ordinary least squares (OLS) method. These calibrated parameters are then used to compute the aforementioned physical observables.We obtained the masses of the heavy mesons with deviations of less than 0.5\% from the highly precise experimental data. We also discussed the drawbacks and limitations of the non-relativistic model and highlighted its domain of applicability. At the end, we compare our results obtained from both methods with those from other theoretical frameworks, including QCD sum rules, lattice QCD, and alternative potential model studies.
Comments13 pages, 9 figures, 8 tables
