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.

20 pages, 9 figures

References in corpus (9)

• Chiral effective field theory and nuclear forces
• 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
• Local three-nucleon interaction from chiral effective field theory
• Extended-soft-core Baryon-Baryon Model II. Hyperon-Nucleon Interaction
• Exotic $QQ\bar{q}\bar{q}$, $QQ\bar{q}\bar{s}$ and $QQ\bar{s}\bar{s}$ states
• The continuum discretized coupled-channels method and its applications
• Effects of a chiral three-nucleon force on nucleus-nucleus scattering
• In-medium nucleon-nucleon cross-sections with non-spherical Pauli blocking

Cited by in corpus (2)

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