Quantummechanical fewbody scattering equations with halfonshell energyindependent subsystem input
Abstract
Equations for three and four body scattering, within the context of nonrelativistic quantum mechanics and a Hamiltonian scattering theory are presented. For the three body case Faddeev type equations were studied which, although obtained from the rigorous Faddeev theory, only require two body bound state wave functions and halfoffshell transition amplitudes as input. In addition, their effective potentials are independent of the threebody energy, and can easily be made real after an angular momentum decomposition. The equations are formulated in terms of physical transition amplitudes for three body processes, except that in the breakup case the partial wave amplitudes differ from the corresponding full amplitudes by a Watson final state interaction factor.
 Publication:

Ph.D. Thesis
 Pub Date:
 1978
 Bibcode:
 1978PhDT.........3Z
 Keywords:

 Faddeev Equations;
 Hamiltonian Functions;
 Quantum Mechanics;
 Scattering Amplitude;
 Angular Momentum;
 Relativistic Theory;
 Wave Functions;
 Wave Scattering;
 SolidState Physics