Eur. Phys. J. A 14, 81-86 (2002)
DOI: 10.1140/epja/iepja1372

Spectra of baryons containing two heavy quarks

D.U. Matrasulov¹, F.C. Khanna¹, Kh.Yu. Rakhimov² and Kh.T. Butanov<sup>2

1</sup>  Physics Department University of Alberta, Edmonton Alberta, T6G 2J1 Canada and TRIUMF, 4004 Wersbrook Mall, V6T2A3 Vancouver, British Columbia, Canada
²  Heat Physics Department of the Uzbek Academy of Sciences, 28 Katartal St., 700135 Tashkent, Uzbekistan

dmatrasu@phys.ualberta.ca
khanna@phys.ualberta.ca

(Received: 16 January 2002 Communicated by V. Vento)

Abstract
Doubly heavy baryons, i.e., the baryons containing two heavy quarks are treated in the adiabatic approximation, considering the motion of the light quark as a relativistic motion. The binding energy and mass spectra of doubly heavy baryons are calculated solving the two-center Dirac equation the one-centre Schrödinger equation for Coulomb plus linear potential. The binding energy of the light quark as a function of the distance between heavy quarks is found.

PACS
12.40.Yx - Hadron mass models and calculations.
14.65.-q - Quarks.
12.39.Pn - Potential models.
03.65.Ge - Solutions of wave equations: bound states.

© Società Italiana di Fisica, Springer-Verlag 2002