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.

arXiv comment10 pages, 11 figures

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Cited by in corpus (5)

• Proton-${}^3\mathrm{He}$ elastic scattering at intermediate energies
• Vector analyzing powers in the $d(p,pp)n$ and $d(p,{}^2\mathrm{He})n$ channels at 135 MeV
• 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
• Effect of Nucleon Dressing on the Triton Binding Energy