Benchmark calculation for proton-deuteron elastic scattering observables including the Coulomb interaction

A. Deltuva, A. C. Fonseca, A. Kievsky, S. Rosati, P. U. Sauer, and M. Viviani
Phys. Rev. C 71, 064003 – Published 17 June 2005

Abstract

Two independent calculations of proton-deuteron elastic scattering observables including Coulomb repulsion between the two protons are compared in the proton laboratory energy region between 3 and 65 MeV. The hadron dynamics is based on the purely nucleonic charge-dependent AV18 potential. Calculations are done in both coordinate space and momentum space. The coordinate-space calculations are based on a variational solution of the three-body Schrödinger equation using a correlated hyperspherical expansion for the wave function. The momentum-space calculations proceed via the solution of the Alt-Grassberger-Sandhas equation using the screened Coulomb potential and the renormalization approach. Both methods agree to the order of 1% on all observables, showing the reliability of both numerical techniques in that energy domain. At energies below the three-body breakup threshold, the coordinate-space method remains favored; at energies higher than 65 MeV, the momentum-space approach seems to be more efficient.

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  • Received 4 March 2005

DOI:https://doi.org/10.1103/PhysRevC.71.064003

©2005 American Physical Society

Authors & Affiliations

A. Deltuva1,*, A. C. Fonseca1, A. Kievsky2,3, S. Rosati2,3, P. U. Sauer4, and M. Viviani2,3

  • 1Centro de Física Nuclear da Universidade de Lisboa, P-1649-003 Lisboa, Portugal
  • 2Istituto Nazionale di Fisica Nucleare, I-56100 Pisa, Italy
  • 3Dipartimento di Fisica, Universita’ di Pisa, I-56100 Pisa, Italy
  • 4Institut für Theoretische Physik, Universität Hannover, D-30167 Hannover, Germany

  • *On leave from Institute of Theoretical Physics and Astronomy, Vilnius University, Vilnius 2600, Lithuania. Electronic address: deltuva@cii.fc.ul.pt

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Vol. 71, Iss. 6 — June 2005

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