Bound-state solutions of the bethe-salpeter equation in momentum space
196914 pages
Published in:
- Nuovo Cim.B 61 (1969) 389-402
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Abstract: (Springer)
The Bethe-Salpeter equation is investigated in the ladder approximation for a Yukawa-type coupling of three scalar fields of different masses. By means of an expansion in terms of Gegenbauer polynomials in (Euclidean) momentum space a system of one-dimensional integral equations is obtained, which turns out to be very appropriate for numerical solution. The lowest eigenvalues for bound states of angular momentum zero are given for various mass ratios of the particles involved. The convergence of the numerical approximations is examined. The method can be applied also in the case, in which a superposition of particles with different masses is exchanged. As an example the inclusion of self-energy effects in the propagator of the exchanged particle is considered for the case of equal external masses.- bethe-salpeter equation
- approximation: ladder
- coupling
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