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Two-Nucleon Scattering Without Partial Waves Using a Momentum Space Argonne V18 Interaction

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Abstract

We test the operator form of the Fourier transform of the Argonne V18 potential by computing selected scattering observables and all Wolfenstein parameters for a variety of energies. These are compared to the GW-DAC database and to partial wave calculations. We represent the interaction and transition operators as expansions in a spin-momentum basis. In this representation the Lippmann–Schwinger equation becomes a six channel integral equation in two variables. Our calculations use different numbers of spin-momentum basis elements to represent the on- and off-shell transition operators. This is because different numbers of independent spin-momentum basis elements are required to expand the on- and off-shell transition operators. The choice of on and off-shell spin-momentum basis elements is made so that the coefficients of the on-shell spin-momentum basis vectors are simply related to the corresponding off-shell coefficients.

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Authors and Affiliations

  1. Department of Physics and Astronomy, Institute of Nuclear and Particle Physics, Ohio University, Athens, OH, 45701, USA

    S. Veerasamy & Ch. Elster

  2. Department of Physics and Astronomy, The University of Iowa, Iowa City, IA, 52242, USA

    W. N. Polyzou

Authors
  1. S. Veerasamy
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  2. Ch. Elster
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  3. W. N. Polyzou
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Correspondence to Ch. Elster.

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Dedicated to Professor Henryk Witał a at the Occasion of his 60th Birthday.

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Veerasamy, S., Elster, C. & Polyzou, W.N. Two-Nucleon Scattering Without Partial Waves Using a Momentum Space Argonne V18 Interaction. Few-Body Syst 54, 2207–2225 (2013). https://doi.org/10.1007/s00601-012-0476-1

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  • DOI: https://doi.org/10.1007/s00601-012-0476-1

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