Helicity eigenstates of a relativistic spin-0 and spin-1/2 constituent bound by minimal electrodynamics: zero orbital angular momentum, zero four-momentum solutions. (English) Zbl 0672.35062
Summary: Zero four-momentum, helicity eigenstates of the Bethe-Salpeter equation are found for a composite system consisting of a charged, spin-0 constituent and a charged spin-1/2 constituent bound by minimal electrodynamics. The form of the Bethe-Salpeter equation used to describe the bound state includes the contributions from both single photon exchange (ladder approximation) and the “seagull” diagram. Attention is restricted to zero orbital angular momentum states since these appear to be the most interesting physically.
MSC:
| 35Q99 | Partial differential equations of mathematical physics and other areas of application |
Keywords:
seagull diagram; helicity eigenstates; constituent bound; minimal; electrodynamics; zero orbital angular momentum; zero four-momentum; solutions; Bethe-Salpeter equation; ladder approximationReferences:
| [1] | DOI: 10.1007/BF02902507 · doi:10.1007/BF02902507 |
| [2] | DOI: 10.1007/BF02813510 · doi:10.1007/BF02813510 |
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