A new ab initio method of calculating $Z_{eff}$ and positron annihilation rates using coupled-channel T-matrix amplitudes
| dc.creator | Biswas, P K | |
| dc.date | 2002-10-29 | |
| dc.date.accessioned | 2026-07-07T05:48:20Z | |
| dc.date.available | 2026-07-07T05:48:20Z | |
| dc.description | A new {\it ab initio} theoretical formulation to calculate $Z_{eff}$ 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. | |
| dc.description | 9 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/physics/0210116 | |
| dc.identifier | http://arxiv.org/abs/physics/0210116 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/84988 | |
| dc.subject | Atomic Physics | |
| dc.title | A new ab initio method of calculating $Z_{eff}$ and positron annihilation rates using coupled-channel T-matrix amplitudes | |
| dc.type | text |