14 citations · 40 across the 9 of their papers we have counts for
9 papers
Towards a 3D reduction of the N-body Bethe-Salpeter equation
J. Bijtebier
Starting with the homogeneous Bethe-Salpeter equation for two fermions, we perform a 3D reduction using a series expansion around an unspecified positive-energy instantaneous appro…
Bound state equation for 4 or more relativistic particles
J. Bijtebier
We apply the 3D reduction method we recently proposed for the N-particle Bethe-Salpeter equation to the 4-particle case. We find that the writing of the Bethe-Salpeter equation is…
3D reduction of the N-body Bethe-Salpeter equation
J. Bijtebier
We perform a 3D reduction of the two-fermion Bethe-Salpeter equation, by series expansion around a positive-energy instantaneous approximation of the Bethe-Salpeter kernel, followe…
Two and three-fermion 3D equations deduced from Bethe-Salpeter equations
J. Bijtebier
We write a 3D equation for three fermions by combining the three two-body potentials obtained in 3D reductions (based on a series expansion around a relative-energy fixing "approxi…
A cluster-separable Born approximation for the 3D reduction of the three-fermion Bethe-Salpeter equation
J. Bijtebier
We perform a 3D reduction of the two-fermion Bethe-Salpeter equation based on Sazdjian's explicitly covariant propagator, combined with a covariant substitute of the projector on t…
Higher-order corrections to the two and three-fermion Salpeter equations
J. Bijtebier
We compare two opposite ways of performing a 3D reduction of the two-fermion Bethe-Salpeter equation beyond the instantaneous approximation and Salpeter's equation. The more usual…