The Potential Energy of Three Heavy Quarks in the {MIT} Bag Model

Jul, 1980
27 pages
Published in:
  • Phys.Rev.D 23 (1981) 185
Report number:
  • LA-UR-80-2054

Citations per year

198119922003201420230123456
Abstract: (APS)
In the Born-Oppenheimer approximation to the MIT bag model the color-singlet n-quark (and/or antiquark) system is studied. Analytic approximations to the spin-independent n-quark potential energy are developed, based on spherical and cylindrical trial bag shapes. The domain of validity of these results is established in the qq¯ case through tests against a numerical solution. The resulting three-quark potential contains Coulomb-type and confining parts. The Coulomb-type terms are purely two-body in nature, and the confinement term is a three-body potential.
  • heavy quark
  • QUARK: COLOR
  • MODEL: BAG
  • APPROXIMATION: BORN-OPPENHEIMER
  • BOUND STATE: (QUARK ANTIQUARK)
  • BOUND STATE: (3QUARK)
  • POTENTIAL: ENERGY
  • NUMERICAL CALCULATIONS
  • POTENTIAL: COULOMB
  • QUARK: CONFINEMENT