Roles of chiral three-nucleon forces in nucleon-nucleus scattering

Abstract

We investigate the roles of chiral three-nucleon force (3NF) in nucleon-nucleus elastic scattering, using the standard framework based on the Brueckner-Hartree-Fock method for nuclear matter and the $g$-matrix folding model for the nucleon-nucleus scattering. In nuclear matter, chiral 3NF at NNLO level (mainly the 2$\pi$-exchange diagram) makes the single particle potential less attractive for the singlet-even channel and more absorptive for the triplet channels. The single-particle potential calculated from chiral two-nucleon force (2NF) at N${}^3$LO level is found to be close to that from Bonn-B 2NF. The Melbourne $g$-matrix interaction is a practical effective interaction constructed by localizing the $g$-matrices calculated from Bonn-B 2NF. We then introduce the chiral-3NF effects to the local Melbourne $g$-matrix interaction. For nucleon-nucleus elastic scattering on various targets at 65 MeV, chiral 3NF makes the folding potential less attractive and more absorptive. The novel property for the imaginary part is originated in the enhancement of tensor correlations due to chiral 3NF. The two effects are small for differential cross sections and vector analyzing powers at the forward and middle angles where the experimental data are available. If backward measurements are done, the data will reveal the effects of chiral 3NF.

arXiv comment20 pages, 9 figures

References in corpus (41)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Quantum Monte Carlo calculations of nuclei with A \leq 7
• The two-nucleon system at next-to-next-to-next-to-leading order
• Three-Nucleon Forces from Chiral Effective Field Theory
• Improved nuclear matter calculations from chiral low-momentum interactions
• Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
• Evolution of Nuclear Spectra with Nuclear Forces
• Local three-nucleon interaction from chiral effective field theory
• Is nuclear matter perturbative with low-momentum interactions?
• Signatures of three-nucleon interactions in few-nucleon systems
• Extended-soft-core Baryon-Baryon Model II. Hyperon-Nucleon Interaction
• Two-Body Correlations in Nuclear Systems
• Density-dependent effective nucleon-nucleon interaction from chiral three-nucleon forces
• Spectra and binding energy predictions of chiral interactions for 7Li
• Exotic $QQ\bar{q}\bar{q}$, $QQ\bar{q}\bar{s}$ and $QQ\bar{s}\bar{s}$ states
• Symmetric nuclear matter with chiral three-nucleon forces in the self-consistent Green's functions approach
• The continuum discretized coupled-channels method and its applications
• On the regularization ambiguities in loop quantum gravity
• Saturation of nuclear matter and short-range correlations
• Deformation of Ne isotopes in the island-of-inversion region
• The Brieva-Rook Localization of the Microscopic Nucleon-Nucleus Potential
• Nuclear and neutron matter $G$-matrix calculations with Ch-EFT potential including effects of three-nucleon interaction
• Dirac-Brueckner-Hartree-Fock versus chiral effective field theory
• Mass-number and isotope dependence of the local microscopic optical potential for polarized proton scattering
• Microscopic optical potential from chiral nuclear forces
• $A_{FB}^t$ Meets LHC
• Exact Treatment of the Pauli Exclusion Operator in Nuclear Matter Calculation
• Single twistor description of massless, massive, AdS, and other interacting particles
• The triton with long-range chiral N3LO three nucleon forces
• dS-Holographic C-Functions with a Topological, Dilatonic Twist
• A New Glauber Theory based on Multiple Scattering Theory
• Global solutions for higher-dimensional stretched small black holes
• Probing for massive stochastic gravitational-wave background with a detector network
• Recent development of CDCC
• Strength of reduced two-body spin-orbit interaction from chiral three-nucleon force
• Effects of a chiral three-nucleon force on nucleus-nucleus scattering
• In-medium nucleon-nucleon cross-sections with non-spherical Pauli blocking
• Perturbative and Numerical Analysis of Tilted Cosmological Models of Bianchi type V

Cited by in corpus (11)

• Microscopic calculations based on chiral two- and three-nucleon forces for proton- and ${}^4$He-nucleus scattering
• Microscopic optical potential for exotic isotopes from chiral effective field theory
• Theoretical Optical Potential Derived From Nucleon-Nucleon Chiral Potentials
• Proton elastic scattering on calcium isotopes from chiral nuclear optical potentials
• Implementing chiral three-body forces in terms of medium-dependent two-body forces
• 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
• Microscopic coupled-channel calculations of nucleus-nucleus scattering including chiral three-nucleon-force effects
• 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
• Nuclear saturation in lowest-order Brueckner theory with two- and three-nucleon forces in view of chiral effective field theory
• Study of ($p,n$)IAS and (${}^3$He,$t$)IAS charge-exchange reactions with the $G$-matrix folding method