Pure Coulomb tensor interaction in the Dirac equation

Autor: Garcia, M. G., Pratapsi, S., Alberto, P., de Castro, A. S.
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
Popis: In this work we compute bound solutions for particles and anti-particles of the Dirac equation for a pure tensor radial Coulomb potential plus a constant. We find that the binding depends on the sign the tensor constant potential, and allows only bound solutions for a certain sign and magnitude of the $\kappa$ quantum number, which is related to the spin-orbit coupling in the Dirac equation. This relation is reversed for anti-particle solutions. On the other hand, the Coulomb tensor potential, although not biding, changes the range of $\kappa$ values for which there are bound solutions.
Comment: 13 pages, 4 figures, uses revtex macros, accepted for publication in Phys. Rev. A
Databáze: arXiv