2010/01/01 by M. R. Hadizadeh, Lauro Tomio, M. Nielsen +2 · 1 citation
Mathematics · Physics and Astronomy · #Angular momentum #Bar (unit) #Bound state #Classical mechanics #Geometry #Integral equation #Kernel (algebra) #Mathematical analysis #Mathematical physics #Mathematics #Meson #Momentum (technical analysis) #Nuclear physics research studies #Physics #Position and momentum space #Pure mathematics #Quadratic equation #Quantum Chromodynamics and Particle Interactions #Quantum Mechanics and Non-Hermitian Physics #Quantum electrodynamics #Quantum mechanics #Quark #Singularity #Space (punctuation) #hep-ph
paper · pdf · doi:10.1063/1.3523199
published as AIP Conf.Proc.1296:334-337,2010 · 6 pages, 5 tables
openalex publication_date 2010/01/01 · arxiv created 2011/04/19 · arxiv updated 2011/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The homogeneous Lippmann‐Schwinger integral equation is solved in momentum space by using confining potentials. Since the confining potentials are unbounded at large distances, they lead to a singularity at small momentum. In order to remove the singularity of the kernel of the integral equation, a regularized form of the potentials is used. As an application of the method, the mass spectra of heavy quarkonia, mesons consisting from heavy quark and antiquark (Υ(bb̄), ψ(cc̄)), are calculated for linear and quadratic confining potentials. The results are in good agreement with configuration space and experimental results.