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

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

2011-06-15

arxiv.org/abs/1106.3028v3

Physics

High Energy Physics

High Energy Physics - Phenomenology

23 pages, 13 fig. v3, correct typo, add fig, add average data

Scientific paper

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.

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