Approach to the three-body scattering problem

Description

The 'partial wavefunction approach' to the three-body scattering problem is used to derive some new equations for the wavefunction. All scattering processes are solutions of inhomogeneous coupled integral equations for the scattered parts of the total wavefunction. The Pauli principle is incorporated when two or all of the particles are identical. This leads to a reduction in the number of independent scattered partial wavefunctions when two or all of the particles are identical. The kernels in the integral equations contain no delta functions but each scattered partial wavefunction does have a selfcoupling term. Applied to the scattering of three identical bosons interacting through zero-range pair potentials, the method gives the same equation as obtained by the Faddeev T-matrix approach. (Author).

Subjects

Series Statement

• Physical sciences research papers -- no. 347