Low-Energy Proton-Deuteron Scattering with a Coulomb-Modified Faddeev Equation

Abstract

Abstract. A modified version of the Faddeev three-body equation to accommodate the Coulomb interaction, which was used in the study of three-nucleon bound states, is applied to the proton-deuteron scattering problem at energies below the three-body breakup threshold. A formal derivation of the equation in a time-independent scattering theory is given. Numerical results for phase shift parameters are presented to be compared with those of another methods and results of the phase shift analysis. Differential cross sections and nucleon analyzing powers are calculated with the effects of three-nucleon forces, and these results are compared with recent experimental data. The difference between the nucleon analyzing power in proton-deuteron scattering and that in neutron-deuteron scattering is discussed.

Low and intermediate energy cross section analysis of p-p and p-d elastic scattering using modified phase amplitude method for electromagnetic distorted nuclear interaction

“…In figures 1 and 2 we have portrayed (p − p) & (p − d) phase shifts against the varriation of laboratory energy E LAB upto partial wave l = 2 and our estimated results match quite well with those of Wiringa et al [42], Arndt et al [43], Ishikawa [44], Chen et al [45] & Huttel et al [46], respectively. In figure 1 our phase shift calculations for 1 S 0 state (solid line) reproduce the standard values with a slight shift in peak region.…”

Description of Four- and Five-Nucleon Systems by Solving Faddeev-Yakubovsky Equations in Configuration Space

“…The problem becomes considerably simpler if only one repulsive Coulomb interaction is present (only two out of three particles are charged by equal sign charges) like for a proton-deuteron scattering. For this particular case, there are several alternative prescriptions to handle Coulomb interaction force [47][48][49][50][51][52]. They are based on inserting, fully or partially, the Coulomb potential V C (x, y), in the left-hand side of the Faddeev equation…”

Tritonlike Molecules of Three Identical Baryons

“…Generally, the Faddeev equation provides us a rigorous tool to explore the bound solution of a three-body system [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41]. One of the common methods to simplify the Faddeev equation of specific systems is the fixed center approx-imation (FCA).…”