Benchmark calculations for polarization observables in three-nucleon scattering

Kievsky, A.; Viviani, M.; Rosati, S.; Hüber, D.; Glöckle, W.; Kamada, H.; Witała, H.; Golak, J.

doi:10.1103/physrevc.58.3085

Cited by 46 publications

(80 citation statements)

References 23 publications

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“…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.…”

Section: Numerical Resultsmentioning

confidence: 84%

Low-Energy Proton-Deuteron Scattering in Configuration Space

2001

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Abstract.A new method for solving the configuration-space Faddeev equations for elastic p-d scattering below the deuteron-breakup threshold is described. Numerical solutions that demonstrate the convergence and accuracy of the method are given. The number of channels and the value of the matching radius required to obtain an accurate solution are also investigated. These calculations demonstrate that this method can efficiently solve the large matrix equations required for the three-body scattering problem.

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Section: Numerical Resultsmentioning

confidence: 84%

Low-Energy Proton-Deuteron Scattering in Configuration Space

2001

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“…[34], we obtain the current in the limit of weak electromagnetic fields, since calculations of photo-and electronuclear observables are typically carried out in first-order perturbation theory in these fields. Then, by retaining only linear terms in the vector potential, we find 45) where the paths γ ij and γ ′ ji are those illustrated in Fig. 1, and in the second and third lines of the equation above v 0 ij is as defined in Eq.…”

Section: Two-body Currentmentioning

confidence: 99%

Electromagnetic structure of A=2 and 3 nuclei and the nuclear current operator

et al. 2005

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Different models for conserved two-and three-body electromagnetic currents are constructed from two-and three-nucleon interactions, using either meson-exchange mechanisms or minimal substitution in the momentum dependence of these interactions. The connection between these two different schemes is elucidated. A number of low-energy electronuclear observables, including (i) np radiative capture at thermal neutron energies and deuteron photodisintegration at low energies, (ii) nd and pd radiative capture reactions, and (iii) isoscalar and isovector magnetic form factors of 3 H and 3 He, are calculated in order to make a comparative study of these models for the current operator. The realistic Argonne v18 two-nucleon and Urbana IX or Tucson-Melbourne three-nucleon interactions are taken as a case study. For A=3 processes, the bound and continuum wave functions, both below and above deuteron breakup threshold, are obtained with the correlated hyperspherical-harmonics method. Three-body currents give small but significant contributions to some of the polarization observables in the 2 H(p, γ) 3 He process and the 2 H(n, γ) 3 H cross section at thermal neutron energies. It is shown that the use of a current which did not exactly satisfy current conservation with the two-and three-nucleon interactions in the Hamiltonian was responsible for some of the discrepancies reported in previous studies between the experimental and theoretical polarization observables in pd radiative capture.

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“…Recently, a benchmark calculation for n-d scattering has been published at E lab = 3 MeV (just below the deuteron breakup threshold) using a realistic NN potential [4]. Conversely, at present there has been no thorough study of the accuracy of the solutions for p-d scattering.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2001

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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.

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Benchmark calculations for polarization observables in three-nucleon scattering

Cited by 46 publications

References 23 publications

Low-Energy Proton-Deuteron Scattering in Configuration Space

Low-Energy Proton-Deuteron Scattering in Configuration Space

Electromagnetic structure of A=2 and 3 nuclei and the nuclear current operator

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

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