How important is the three-nucleon force?

Abstract

By calculating the contribution of the $\pi -\pi$ three-body force to the three-nucleon binding energy in terms of the $\pi N$ amplitude using perturbation theory, we are able to determine the contribution of the different $\pi N$ partial waves to the three-nucleon force. The division of the $\pi N$ amplitude into a pole and nonpole gives a unique procedure for the determination of the $\pi NN$ form factor in the model. The total contribution of the three-body force to the binding energy of the triton is found to be very small.

16 page RevTeX manuscript, two figures available from authors [email protected], to be published in Phys.Rev.C

References in corpus (2)

• Momentum and Coordinate Space Three-nucleon Potentials
• Three-Nucleon Force and the $\Delta$-Mechanism for Pion Production and Pion Absorption

Cited by in corpus (7)

• Pion-nucleon interaction in a covariant hadron-exchange model
• Structure functions for the three nucleon system
• Structure of meson-baryon interaction vertices
• $\pi NN$ and $\pi N\Delta$ formfactors determined from a microscopic model for $\pi N$ scattering
• The pion-three-nucleon problem with two-cluster connected-kernel equations
• Meson-Baryon Form Factors in Chiral Colour Dielectric Model
• Dyson-Schwinger approach to pion-nucleon scattering using time-ordered perturbation theory