Spectra of doubly heavy quark baryons
D. U. MatrasulovHeat Physics Department of the Uzbek Academy of Sciences, 28 Katartal St., 700135 Tashkent, UzbekistanM.M. MusakhanovHeat Physics Department of the Uzbek Academy of Sciences, 28 Katartal St., 700135 Tashkent, UzbekistanTakashi MoriiHeat Physics Department of the Uzbek Academy of Sciences, 28 Katartal St., 700135 Tashkent, Uzbekistan
ABI
Abstract
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.