Three-nucleon system: Irreducible and reducible contributions of the three-nucleon force

Abstract

The three-nucleon bound and scattering equations are solved in momentum space for a coupled-channel Hamiltonian. The Hamiltonian couples the purely nucleonic sector of Hilbert space with a sector in which one nucleon is excited to a $\Delta$ isobar. The interaction consists of irreducible two-baryon and irreducible three-baryon potentials. The calculation keeps only the purely nucleonic one among the irreducible three-baryon potentials. The coupled-channel two-baryon potential yields additional reducible contributions to the three-nucleon force. The Coulomb interaction between the two protons is included using the method of screening and renormalization. Three-nucleon force effects on the bound-state energies and on observables of elastic nucleon-deuteron scattering and breakup are studied.

10 pages, 11 figures

References in corpus (5)

• Chiral effective field theory and nuclear forces
• Nuclear forces with Delta-excitations up to next-to-next-to-leading order I: peripheral nucleon-nucleon waves
• Delta-excitations and the three-nucleon force
• Elastic proton-deuteron scattering at intermediate energies
• Low-energy neutron-deuteron reactions with N3LO chiral forces

Cited by in corpus (3)

• Proton-${}^3\mathrm{He}$ elastic scattering at intermediate energies
• A comprehensive analysis of differential cross sections and analyzing powers in the proton-deuteron break-up channel at 135 MeV
• Mass-Energy Equivalence in Bound Three-Nucleon Systems