Lee model field theory of three-nucleon system

Abstract

The $\mathrm{VNN}$ sector of the nonstatic Lee model is investigated as a prototype of the three-nucleon $\mathrm{pnn}$ system, leading to an effective three-body Hamiltonian with a new kind of disconnected three-body force. The solution of the disconnectedness problem is presented in terms of modified Faddeev equations. The state vectors of the deuteron and triton are constructed and scattering amplitudes for reactions $n+p\ensuremath{\rightarrow}n+p$, $n+p\ensuremath{\rightarrow}n+n+{\ensuremath{\pi}}^{+}$, and $n+d\ensuremath{\rightarrow}n+d$ are derived. All effects of off-shell renormalization are included in a complete and consistent way.NUCLEAR REACTIONS Lee model, $\mathrm{VNN}$ sector, model of deuteron and triton, $N+V\ensuremath{\rightarrow}N+V$, $N+V\ensuremath{\rightarrow}N+N+\ensuremath{\Theta}$, $N+d\ensuremath{\rightarrow}N+d$ reactions, renormalization, off-shell effects, effective interactions, Faddeev equations.