A new ab initio method of calculating Zeff and positron annihilation rates using coupled-channel T-matrix amplitudes
P K Biswas
Abstract
A new ab initio theoretical formulation to calculate Zeff and hence the positron annihilation rates is presented using the on-shell and half-offshell T-matrix scattering amplitudes without any explicit use of the scattering wave function. The formulation is exact and universal, as long as the dynamics of the system can be described by a Lippmann-Schwinger type equation. It could serve as an effective tool as all the T-, K-, and S-matrix formulations, yield directly the scattering amplitudes; not the wave function. We also present a basic numerical test of the formulation.
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