Microscopic calculations based on chiral two- and three-nucleon forces for proton- and ${}^4$He-nucleus scattering

Abstract

We investigate the effects of chiral three-nucleon force (3NF) on proton scattering at 65 MeV and ${}^4$He scattering at 72 MeV/nucleon from heavier targets, using the standard microscopic framework composed of the Brueckner-Hartree-Fock (BHF) method and the $g$-matrix folding model. For nuclear matter, the $g$ matrix is evaluated from chiral two-nucleon force (2NF) of N${}^3$LO and chiral 3NF of NNLO by using the BHF method. Since the $g$ matrix thus obtained is numerical and nonlocal, an optimum local form is determined from the on-shell and near-on-shell components of $g$ matrix that are important for elastic scattering. For elastic scattering, the optical potentials are calculated by folding the local chiral $g$ matrix with projectile and target densities. This microscopic framework reproduces the experimental data without introducing any adjustable parameter. Chiral-3NF effects are small for proton scattering, but sizable for ${}^4$He scattering at middle angles where the data are available. Chiral 3NF, mainly in the 2$\pi$-exchange diagram, makes the folding potential less attractive and more absorptive for all the scattering.

5 pages, 5 figures

References in corpus (12)

• Chiral effective field theory and nuclear forces
• Improved nuclear matter calculations from chiral low-momentum interactions
• Accurate nuclear radii and binding energies from a chiral interaction
• Three-body forces: From cold atoms to nuclei
• The continuum discretized coupled-channels method and its applications
• Three-nucleon forces and spectroscopy of neutron-rich calcium isotopes
• Microscopic optical potentials for ${}^4$He scattering
• Effects of a chiral three-nucleon force on nucleus-nucleus scattering
• Roles of chiral three-nucleon forces in nucleon-nucleus scattering
• No-recoil approximation to knock-on exchange potential in the double folding model for heavy-ion collisions
• A microscopic approach to ${}^3$He scattering
• Anti-halo effects on reaction cross sections for ${}^{14,15,16}$C isotopes

Cited by in corpus (22)

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• A global microscopic description of nucleon-nucleus scattering with quantified uncertainties
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• Uncertainty quantification due to optical potentials in models for (d,p) reactions
• Neutron skin thickness of ${}^{208}$Pb determined from reaction cross section for proton scattering
• $g$-matrix folding-model approach to reaction cross sections for scattering of Ca isotopes on a C target
• Impact of Three-Body Forces on Elastic Nucleon-Nucleus Scattering Observables
• Proton-Nucleus Elastic Scattering: Comparison between Phenomenological and Microscopic Optical Potentials
• Consistency between the monopole strength of the Hoyle state determined by structural calculation and that extracted from reaction observables
• Neutron elastic scattering on calcium isotopes from chiral nuclear optical potentials
• Microscopic coupled-channel calculations of nucleus-nucleus scattering including chiral three-nucleon-force effects
• Medium effect in high-density nuclear matter probed by systematic analyses of nucleus-nucleus elastic scattering
• Microscopic calculation of inelastic proton scattering off ${}^{18}$O, ${}^{10}$Be, ${}^{12}$Be, and ${}^{16}$C for study of neutron excitation in neutron-rich nuclei
• Neutron-skin values and matter and neutron radii determined from reaction cross sections of proton scattering on ${}^{12}$C, ${}^{40,48}$Ca, ${}^{58}$Ni, ${}^{208}$Pb
• Folding model analysis of ${}^{12}C{-}^{12}C$ and ${}^{16}O{-}^{16}O$ elastic scattering using the density-dependent LOCV averaged effective interaction
• Pauli rearrangement potential for a scattering state with the interaction in chiral effective field theory
• Study of ($p,n$)IAS and (${}^3$He,$t$)IAS charge-exchange reactions with the $G$-matrix folding method
• Probing negative-parity states of ${}^{24}$Mg probed via proton and alpha inelastic scattering
• Probing three-nucleon-force effects via (p,2p) reactions
• Global density-dependent $\alpha$-nucleon interaction for $\alpha$-nucleus elastic scattering
• The optical potentials and nuclear reaction cross sections for the $n$-${}^{12}$C and $N$-${}^{12}$C scattering
• Elastic proton scattering off non-zero spin nuclei