Positronium-hydrogen scattering for the first six partial waves
POSTER
Abstract
We have performed Kohn variational calculations for the S-, P- and D-waves of positronium-hydrogen scattering using elaborate trial wavefunctions which contains a large number of Hylleraas-type terms for the short-range part [1]. The trial wavefunctions include all 6 interparticle coordinates. The $^{1,3}$S, $^{1,3}$P and $^{1}$D phase shifts compare well with close-coupling results [2,3], but the $^{3}$D phase shifts are appreciably lower. We are investigating improving the accuracy of the $^{3}$D phase shifts using a variety of techniques. In addition, we have preliminary Kohn variational data for the F-, G- and H-wave with fewer short-range terms. \\[4pt] [1] Denton Woods, P. Van Reeth and S.J. Ward, http://meetings.aps.org/Meeting/MAR14/Event/215763 (and references within).\\[0pt] [2] Jennifer E. Blackwood, Mary T. McAlinden and H.R.J. Walters, Phys.~Rev.~A, {\bf 65}, 032517-1 (2002).\\[0pt] [3] H.R.J. Walters, A.C.H. Yu, S. Sahoo and Sharon Gilmore, Nucl. Instrum. and Methods Phys.~Res. B {\bf 221}, 149 (2004).
Authors
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Denton Woods
University of North Texas
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P. Van Reeth
University College London
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S.J. Ward
University of North Texas