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

Y. Avishai, T. Mizutani

Research output: Contribution to journalArticlepeer-review

60 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)312-326
Number of pages15
JournalPhysical Review C - Nuclear Physics
Volume27
Issue number1
DOIs
StatePublished - 1 Jan 1983

Fingerprint

Dive into the research topics of 'Coupled πnN-NN systems in a Hamiltonian approach and in a relativistic off-mass-shell formalism'. Together they form a unique fingerprint.

Cite this