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Benchmark calculation for proton-deuteron elastic scattering observables including Coulomb

A. Deltuva·A. C. Fonseca·A. Kievsky·S. Rosati·P. U. Sauer·M. Viviani
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Abstract

Two independent calculations of proton-deuteron elastic scattering observables including Coulomb repulsion between the two protons are compared in the proton lab energy region between 3 MeV and 65 MeV. The hadron dynamics is based on the purely nucleonic charge-dependent AV18 potential. Calculations are done both in 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 within 1% on all observables, showing the reliability of both numerical techniques in that energy domain. At energies below three-body breakup threshold the coordinate-space method remains favored whereas at energies higher than 65 MeV the momentum-space approach seems to be more efficient.

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A. Deltuva, A. C. Fonseca, A. Kievsky, S. Rosati, P. U. Sauer, M. Viviani. 2005-03-04. Benchmark calculation for proton-deuteron elastic scattering observables including Coulomb. https://doi.org/10.1103/physrevc.71.064003

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