The Role of Meson Retardation in the NN Interaction above Pion Threshold

Abstract

A model is developed for the hadronic interaction in the two-nucleon system above pion threshold which is based on meson, nucleon and $\Delta$ degrees of freedom and which includes full meson retardation in the exchange operators. For technical reasons, the model allows maximal one meson to be present explicitly. Thus the Hilbert space contains besides $NN$ and $N\Delta$ also configurations consisting of two nucleons and one meson. For this reason, only two- and three-body unitarity is obeyed, and the model is suited for reactions in the two nucleon sector only, where one pion is produced or absorbed. Starting from a realistic pure nucleonic retarded potential, which had to be renormalized because of the additional $\pi$ and $\Delta$ degrees of freedom, a reasonable fit to experimental $NN$-scattering data could be achieved.

30 pages revtex including 17 figures, outline of model and discussion shortened, typos corrected

References in corpus (2)

• The Charge Form Factor of the Neutron from the Reaction \pol{2H}(\pol{e},e'n)p
• Elastic electron deuteron scattering with consistent meson exchange and relativistic contributions of leading order

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• The one-pion-exchange three-nucleon force and the $A_y$ puzzle
• Hard Photodisintegration of a Proton Pair
• NN final-state interaction in two-nucleon knockout from ${}^{16}O$
• Toy Model for Pion Production II: The role of three-particle singularities
• On the treatment of the $\Delta$-contribution in electromagnetic $pp$-knockout reactions
• Polarization Observables in Deuteron Photodisintegration below 360 MeV
• Meson retardation in deuteron electrodisintegration
• Pion re-scattering operator in the S-matrix approach