Proton-deuteron elastic scattering from 2.5 to 22.7 MeV

Abstract

We present the results of a calculation of differential cross sections and polarization observables for proton-deuteron elastic scattering, for proton laboratory energies from 2.5 to 22.5 MeV. The Paris potential parametrisation of the nuclear force is used. As solution method for the charged-composite particle equations the 'screening and renormalisation approach' is adopted which allows to correctly take into account the Coulomb repulsion between the two protons. Comparison is made with the precise experimental data of Sagara et al. [Phys. Rev. C 50, 576 (1994)] and of Sperison et al. [Nucl. Phys. A422, 81 (1984)].

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

“…[6] that are paramount to the fast convergence of the calculation in terms of screening radius R and the effective use of realistic interactions:…”

“…Although there is a long history of theoretical work on the solution of the Coulomb problem in three-particle scattering [1,2,3,4,5,6,7], the work of Refs. [3,4] pioneered the effort on fully converged numerical calculations for proton-deuteron (pd) elastic scattering including the Coulomb repulsion between protons together with realistic nuclear interactions.…”

Publisher's Note: Momentum-space description of three-nucleon breakup reactions including the Coulomb interaction [Phys. Rev. C 72, 054004 (2005)]

“…The inclusion of the Coulomb interaction in the description of the three-nucleon continuum is one of the most challenging tasks in theoretical few-body nuclear physics [1]. Whereas it has already been solved for elastic proton-deuteron (pd) scattering with realistic hadronic interactions using various procedures [1,2,3,4,5], there are only very few attempts [6,7,8] to calculate pd breakup, and none of them uses a complete treatment of the Coulomb interaction and realistic hadronic potentials allowing for a stringent comparison with the experimental data.…”

Treatment of the Coulomb interaction in three-nucleon reactions

“…Up to now only few approaches led to the results above DBT. Those are configuration-space calculations for proton-deuteron (pd) elastic scattering using the Kohn variational principle [7] and the screening and renormalization approach in the framework of momentum-space integral equations [8,9,10,11,12]; nevertheless, for the latter method only the present work published in Refs. [11,12] uses realistic interactions together with fully converged calculations in terms of screening radius and two-nucleon and three-nucleon partial waves.…”