Applicability of modified effective-range theory to positron-atom and positron-molecule scattering

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Zbigniew Idziaszek
CNR-INFM BEC Center, I-38050 Povo, Italy and Centrum Fizyki Teoretycznej, Polska Akademia Nauk, 02-668 Warsaw, Poland

Grzegorz Karwasz
Instytut Fizyki, Uniwersytet Mikoaja Kopernika, 87-100 Toru, Poland

Received 24 April 2006; published 7 June 2006

Weanalyze low-energy scattering of positrons on Ar atoms and N₂molecules using the modified effective-range theory (MERT) developed by O'Malley,et al. [J. Math. Phys. 2, 491 (1961)]. We use theformulation of MERT based on exact solutions of the Schrödingerequation with polarization potential rather than low-energy expansions of phaseshifts into momentum series. We show that MERT describes theexperimental data well, provided that effective-range expansion is performed bothfor s- and p-wave scattering, which dominate in the consideredregime of positron energies (0.4–2 eV). We estimate the values ofthe s-wave scattering length and the effective range for e⁺-Arand e⁺-N₂ collisions.

URL:	http://link.aps.org/doi/10.1103/PhysRevA.73.064701
DOI:	10.1103/PhysRevA.73.064701
PACS:	34.85.+x 34.85.+x Positron scattering (atoms and molecules) YEAR: 2006
KEYWORDS:	argon, nitrogen, atom-positron collisions, molecule-positron collisions, Schrodinger equation

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