Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1994-03-07
J.Math.Phys. 35 (1994) 6379-6406
Physics
High Energy Physics
High Energy Physics - Phenomenology
49 pages, REVTEX, 2 figures (available from the authors), preprint IPNO/TH 94-5 and LPTHE 94/16
Scientific paper
10.1063/1.530681
The two-fermion relativistic wave equations of Constraint Theory are reduced, after expressing the components of the $4\times 4$ matrix wave function in terms of one of the $2\times 2$ components, to a single equation of the Pauli-Schr\"odinger type, valid for all sectors of quantum numbers. The potentials that are present belong to the general classes of scalar, pseudoscalar and vector interactions and are calculable in perturbation theory from Feynman diagrams. In the limit when one of the masses becomes infinite, the equation reduces to the two-component form of the one-particle Dirac equation with external static potentials. The Hamiltonian, to order $1/c^2$, reproduces most of the known theoretical results obtained by other methods. The gauge invariance of the wave equation is checked, to that order, in the case of QED. The role of the c.m. energy dependence of the relativistic interquark confining potential is emphasized and the structure of the Hamiltonian, to order $1/c^2$, corresponding to confining scalar potentials, is displayed.
Mourad Jihad
Sazdjian Hagop
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