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Phys. Rev. C 63, 014605 (2000) [8 pages]

Lagrange mesh calculation of the effective range expansion

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D. Baye, M. Hesse, and R. Kamouni
Physique Nucléaire Théorique et Physique Mathématique, C.P. 229, Université Libre de Bruxelles, B-1050 Brussels, Belgium

Received 26 April 2000; published 18 December 2000

The first terms of the effective range expansion are accurately determined with a small number of evaluations of the potential. The method is based on the R matrix theory with a Lagrange basis which leads to a simple meshlike approximation. It is valid for both neutral and charged collisions for arbitrary partial waves. The accuracy of the algorithm is illustrated with an analytically solvable example, with different cases of potential scattering and in particular with the Paris and Bonn nucleon-nucleon potentials.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.63.014605
DOI:
10.1103/PhysRevC.63.014605
PACS:
24.10.-i, 03.65.Nk, 25.10.+s