Phase shifts and mixing parameters for low-energy proton-deuteron scattering

Abstract

The eigenphase shifts and mixing parameters for elastic p-d scattering below the deuteron-breakup threshold are calculated for the AV14 two-body potential using two different numerical methods. The excellent agreement confirms that it is possible to perform accurate numerical studies of p-d scattering as well as n-d scattering for low energies. The numerical results can be considered as benchmarks for future calculations.

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

“…In the tables, our calculations with J ≤ 2(3) are denoted as J max = 2(3). The results are compared with those of the variational method with the PHH basis [27,28], whose results for the AV14 potential were also published as the benchmarks [35,33]. From these tables, we see that our calculations almost converge at J max = 3 and the differences from the PHH calculations are again order of 1%.…”

“…Because of the simplicity that the MT I-III potential acts only on the spin triplet and the spin singlet S-wave NN states, the S-wave nucleon-deuteron (N d) elastic channel is classified only by the channel spin: the sum of the nucleon spin and the deuteron spin, namely, 1/2 (the doublet state) or 3/2 (the quartet state). In Table 2, calculated S-wave phase shifts of the doublet ( 2 δ) and the quartet ( 4 δ) states for N d elastic scattering at some energies below the three-body breakup threshold are compared with the results of the configuration-space Faddeev calculations [23], whose results for a realistic NN potential model, the Argonne V 14 model (AV14) [32], were published as benchmarks [33] in the pd calculation.…”

Low-Energy Proton-Deuteron Scattering in Configuration Space

“…The K-matrix elements are for the J-j channel states defined in Eq. (2.9), which are different than the channel states used for the n-d [8] and pd [9] benchmark calculations. Our results for the K-matrices can be converted to the channel scheme using Eq.…”

Polarization observables inp−dscattering below 30 MeV

“…Recently, a detailed comparison between the solutions of the Faddeev equations in configuration space and the KVP has been performed, though restricted to energies below the DBT [7]. In the present work we turn our attention to describing p-d elastic observables above the DBT.…”