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arXiv 1106.3028hep-ph
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用Dirac方程计算重轻夸克组合的介子质量谱

Meson Mass Spectrum of Heavy-Light Quarks Combinations with Dirac Equation

B. Pan

摘要:

本文利用狄拉克方程研究了具有重轻夸克组合的介子的质量谱。首先,我们研究了具有球对称性的Dirac方程和漏斗势,并将它们应用于类氢原子问题,以检验我们数值程序的正确性。然后我们检验了Olsson论文中的参数。结果表明,Olsson参数能很好地拟合平均中心质量,但不能得到正确的能量精细分裂。最后通过求解Dirac方程和漏斗势,用我们的参数拟合了D,D_s,B和B_s介子的质谱数据,计算了S和P态的能量分裂。我们的参数可以拟合质量和精细分裂,误差小于7 MeV。

英文摘要:

We use the Dirac equation to study the mass spectrum of mesons with heavy-light quark combinations. First we study the Dirac equation with spherically symmetry and funnel potential, and apply them on the hydrogen-like atom problem to check the correctness of our numerical program. Then we test the parameters in Olsson's paper. We show that Olsson's parameters are good in fitting the averaged central mass, but fail to get correct energy fine splitting. Finally we fit the mass spectrum data of D, D_s, B and B_s mesons with our parameters by solve the Dirac equation and funnel potential, calculate the energy splitting of the S and P states. Our parameters can fit the mass and fine splitting with errors in less than 7 MeV.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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