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

2011/06/15 by B. Pan, Pan, B.
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Quantum Chromodynamics and Particle Interactions #Relativity and Gravitational Theory #hep-ph

paper · pdf · doi:10.48550/arxiv.1106.3028

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

openalex publication_date 2011/06/15 · arxiv created 2011/11/23 · arxiv updated 2011/11/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Related

• Mass Spectra of D, D_s Mesons using Dirac formalism with martin-like confinement potential
• Light and Heavy Mesons in The Complex Mass Scheme
• Meson Mass Spectrum from Relativistic Equations in Configuration Space
• Solutions of the Schrödinger equation with Quarkonium potential to predict the mass-spectra of the heavy mesons via series expansion method
• Applicability of Hulthen-Hellmann potential to predict the mass-spectra of heavy mesons via series expansion method