Meson-exchange. pi. N model

Chauchen Lee, Shin Nan Yang, T S.H. Lee · University of North Texas Digital Library (University of North Texas) · 1990

It is necessary to develop a {pi}N model which contains, at least qualitatively, the mechanisms originated from some fundamental theory of strong interactions. QCD is now commonly accepted as the fundamental theory of the strong interaction. However, due to the great mathematical complexities, it is still not possible to describe the nuclear phenomena, e.g., {pi}N and NN interactions from it. On the other hand, models based on meson-exchange picture have been very successful in describing the NN phase shifts and observables. It is therefore reasonable to assume that the {pi}N dynamics at low and intermediate energies can be described by the same approach. The degree of success of such a meson-exchange {pi}N model would depend on the consistency in the parameters employed, e.g., masses and coupling constants, as compared to those used in the meson-exchange NN model. In this paper, we report on the development of a {pi}N model starting from an effective Lagrangian. We introduce a three-dimensional reduction of the Lagrangian field theory for deriving from a {pi}N scattering equation. The constructed model can be readily applied to resolve the above-mentioned important problems in the field of intermediate energy nuclear physics. We present our preliminary results and discuss future improvements.

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