Comment on “Semiemperical Approach to Positron Annihilation in Molecules”

Mitroy, Jim; Ryzhikh, G. G.

doi:10.1103/physrevlett.83.3570

Cited by 9 publications

(2 citation statements)

References 10 publications

(14 reference statements)

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“…The Ps-channel scattering functions u J β J αJ (k, r) are defined in terms of a quadrature rule over spherical Bessel functions. Introducing these spherical Bessel functions into equation (43) will lead to problems as the products over the spherical Bessels will diverge when integrated over r. This problem was avoided by making using of the identity…”

Section: Direct Evaluation Of Z Effmentioning

confidence: 99%

“…those electrons not in the cluster). These assumptions lead to pick-off annihilation rates that are two to three orders of magnitude larger than those that have been observed or calculated for any physical system [43][44][45][46]. The lack of any supporting evidence for these anomalously large annihilation rates has resulted in severe criticisms of their model [43].…”

Section: Comment On the Model Of Laricchia And Wilkinmentioning

confidence: 99%

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T-matrix theory of positron annihilation on hydrogen

Ryzhikh

Mitroy

2000

J. Phys. B: At. Mol. Opt. Phys.

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The transition amplitude for electron-positron annihilation during positron-hydrogen scattering is formulated in terms of the half-shell T-matrix elements obtained from a solution of the momentum space Lippmann-Schwinger equation. The derived expression is well defined at energies below the positronium (Ps) formation threshold. However, singularities in the transition amplitude exist at energies above the Ps-formation threshold. The annihilation parameter for positron-hydrogen scattering is computed in a variety of models at energies below the Ps-formation threshold. Calculations with the largest basis reproduce previous variational calculations of ZJeff for the J = 0 and 1 partial waves. Accurate values of ZJeff were also given for the J = 2, 3 and 4 partial waves to give a summed Zeff that is probably the most accurate so far reported.

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Section: Direct Evaluation Of Z Effmentioning

confidence: 99%