Benchmark calculation of p-3H and n-3He scattering

Abstract

p-3H and n-3He scattering in the energy range above the n-3He but below the d-d thresholds is studied by solving the 4-nucleon problem with a realistic nucleon-nucleon interaction. Three different methods -- Alt, Grassberger and Sandhas, Hyperspherical Harmonics, and Faddeev-Yakubovsky -- have been employed and their results for both elastic and charge-exchange processes are compared. We observe a good agreement between the three different methods, thus the obtained results may serve as a benchmark. A comparison with the available experimental data is also reported and discussed.

13 pages, 6 figures. arXiv admin note: text overlap with arXiv:1109.3625

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• Nuclear Dynamics and Reactions in the Ab Initio Symmetry-Adapted Framework
• Solution of n-${}^4$He elastic scattering problem using Faddeev-Yakubovsky equations
• Description of Four- and Five-Nucleon Systems by Solving Faddeev-Yakubovsky Equations in Configuration Space
• Entanglement generation in few-nucleon scattering
• The X17 boson and the ${}^3$H$(p,e^{+}{e}^{-}{)}^4$He and ${}^3$He$(n,e^{+}{e}^{-}{)}^4$He processes: a theoretical analysis
• Zemach moments and radii of 2,3H and 3,4He
• ${}^6$Li in a Three-Body Model with Realistic Forces: Separable vs. Non-separable Approach
• Few-Nucleon Systems within Finite-Cutoff Pionless EFT
• The excited state of the $\alpha$-particle: a benchmark study
• Deuteron-${}^3\mathrm{He}$ scattering using nucleon-${}^3\mathrm{He}$ optical potentials fitted to four-body amplitudes
• Examination of the multiple-scattering expansion in the four-nucleon system