Spectra of doubly heavy quark baryons
- 17 March 2000
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review C
- Vol. 61 (4) , 045204
- https://doi.org/10.1103/physrevc.61.045204
Abstract
Baryons containing two heavy quarks are treated in the Born-Oppenheimer approximation. The Schrödinger 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.Keywords
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This publication has 6 references indexed in Scilit:
- Quark potential approach to baryons and mesonsPhysics Reports, 1993
- The nonrelativistic three-body problem for baryonsPhysics Reports, 1992
- Baryons with Double CharmProgress of Theoretical Physics, 1989
- Simple approximate analytical expressions for the eigenvalues of anharmonic oscillators and confining potential modelsThe Journal of Chemical Physics, 1983
- The two Coulomb centres problem at large centre separationJournal of Physics B: Atomic and Molecular Physics, 1968
- Handbook of Mathematical FunctionsAmerican Journal of Physics, 1966