2000/03/17 by D. U. Matrasulov, M. M. Musakhanov, M.M. Musakhanov +2 · 2 citations
Physics and Astronomy · #Baryon #Coulomb #Energy (signal processing) #Harmonic oscillator #High-Energy Particle Collisions Research #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Quark #Spectral line #Wave function #hep-ph
paper · pdf · doi:10.1103/physrevc.61.045204
published as Phys.Rev. C61 (2000) 045204 · 19 pages, latex2e, published at PRC61(2000)045204
openalex publication_date 2000/03/17 · arxiv created 2000/04/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Baryons containing two heavy quarks are treated in the Born-Oppenheimer approximation. The Schr"odinger equation for the two-center Coulomb plus harmonic oscillator potential is solved by the method of the ethalon equation at large intercenter separations. Asymptotical expansions for the energy term and wave function are obtained in analytical form. Using those formulas, the energy spectra of doubly heavy baryons with various quark compositions are calculated analytically.