Solution of n-${}^4$He elastic scattering problem using Faddeev-Yakubovsky equations

Abstract

The first ever numerical solution of five-body Faddeev-Yakubovsky equations is presented in this work. Modern realistic Nucleon-Nucleon Hamiltonians have been tested when describing low energy elastic neutron scattering on ${}^4$He nucleus. Obtained results have been compared with those available in the literature and based on solution of the Schrödinger equation.

References in corpus (5)

• Local three-nucleon interaction from chiral effective field theory
• In-Medium Similarity Renormalization Group for Nuclei
• Quantum Monte Carlo calculations of neutron-alpha scattering
• Four-nucleon scattering: Ab initio calculations in momentum space
• Charge radii and electromagnetic moments of Li and Be isotopes from the ab initio no-core shell model

Cited by in corpus (24)

• Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
• From bound states to the continuum
• Nuclear Dynamics and Reactions in the Ab Initio Symmetry-Adapted Framework
• Parity- and time-reversal-violating nuclear forces
• Description of Four- and Five-Nucleon Systems by Solving Faddeev-Yakubovsky Equations in Configuration Space
• Nucleon-$\alpha$ Scattering and Resonances in ${}^5$He and ${}^5$Li with JISP16 and Daejeon16 $NN$ interactions
• Gamow shell model description of ${}^4$He($d$,$d$) elastic scattering reactions
• Zemach moments and radii of 2,3H and 3,4He
• Ab initio calculations of 5H resonant states
• The Faddeev-Yakubovsky symphony
• Five-body calculation of $s$-wave $n$-${}^4$He scattering at next-to-leading order pionless effective field theory
• Ab initio translationally invariant nucleon-nucleus optical potentials
• Description of alpha-clustering of 8Be nucleus states in high-precision theoretical approach
• SS-HORSE Extension of the No-Core Shell Model: Application to Resonances in ${}^7\mathrm{H}e$
• The charge and mass symmetry breaking in the $KK\bar{K}$ system
• Nuclear Resonances, Scattering and Reactions from First Principles: Progress and Prospects
• Perspectives on few-body cluster structures in exotic nuclei
• Chiral symmetry and peripheral neutron-$\alpha$ scattering
• Measurement of the total neutron scattering cross section ratios of noble gases of natural isotopic composition using a pulsed neutron beam
• Four-body bound states in momentum space: the Yakubovsky approach without two-body $t-$matrices
• Possible Existence of ${}_{\varphi }^3$H, ${}_{\varphi }^4$H, ${}_{\varphi }^4$He, and ${}_{\varphi }^5$He Nuclei
• Deuteron-${}^3\mathrm{He}$ scattering using nucleon-${}^3\mathrm{He}$ optical potentials fitted to four-body amplitudes
• 19B isotope as a 17B-n-n three-body cluster close to unitary limit
• Examination of the multiple-scattering expansion in the four-nucleon system