TY - JOUR

T1 - Coupled πnN-NN systems in a Hamiltonian approach and in a relativistic off-mass-shell formalism

AU - Avishai, Y.

AU - Mizutani, T.

PY - 1983/1/1

Y1 - 1983/1/1

N2 - We discuss the scattering theory pertaining to the coupled πNN-NN system and approach the problem in two independent ways. The first one starts from a Hamiltonian formalism and coupled Schrödinger equations, whereas the second one employs an off-mass-shell relativistic theory of classifying perturbation diagrams. Both ways lead to connected equations among transition operators in which πNN vertices, as well as nucleon propagators, are completely dressed and renormalized. Furthermore, the physical amplitudes obey two- and three-body unitarity relations. The resultant equations form a sound theoretical basis for subsequent numerical calculations leading to the evaluation of physical observables in the reactions π+d→π+d, π+dN+N, and N+N+→N+N. NUCLEAR REACTIONS Coupled πNN-NN equations, Hamiltonian approach, off-mass-shell approach, dressed vertex and propagator, last cut lemma.

AB - We discuss the scattering theory pertaining to the coupled πNN-NN system and approach the problem in two independent ways. The first one starts from a Hamiltonian formalism and coupled Schrödinger equations, whereas the second one employs an off-mass-shell relativistic theory of classifying perturbation diagrams. Both ways lead to connected equations among transition operators in which πNN vertices, as well as nucleon propagators, are completely dressed and renormalized. Furthermore, the physical amplitudes obey two- and three-body unitarity relations. The resultant equations form a sound theoretical basis for subsequent numerical calculations leading to the evaluation of physical observables in the reactions π+d→π+d, π+dN+N, and N+N+→N+N. NUCLEAR REACTIONS Coupled πNN-NN equations, Hamiltonian approach, off-mass-shell approach, dressed vertex and propagator, last cut lemma.

UR - http://www.scopus.com/inward/record.url?scp=4243604432&partnerID=8YFLogxK

U2 - 10.1103/PhysRevC.27.312

DO - 10.1103/PhysRevC.27.312

M3 - Article

AN - SCOPUS:4243604432

VL - 27

SP - 312

EP - 326

JO - Physical Review C

JF - Physical Review C

SN - 2469-9985

IS - 1

ER -