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A new ab initio method of calculating $\mathsf{Z_{eff}}$ and positron annihilation rates using coupled-channel T-matrix amplitudes (2004)

Biswas, P. K.

Springer

The European physical journal 29 (2004), S. 321-327

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ISSN: 1434-6079

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract. We present a new ab initio theoretical formulation to calculate $Z_{\it eff}$ and hence the positron annihilation rates directly from the onshell and offshell (half) scattering amplitudes. The method does not require any explicit use of the scattering wave function and is formally exact within the framework of the well established Lippmann-Schwinger 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. Numerical test of the method is presented considering sample static calculations in positron-hydrogen and positron-helium systems.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1140/epjd/e2004-00052-0

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