Abstract
A model is presented for calculating the pion wave function inside the nucleon. By assuming that all pions around a core of the nucleon are in the lowest eigenstate of the system, it is shown that both the bound state and {pi}N scattering amplitude can be consistently described by an exactly soluble model defined in the subspace spanned by the core state and the physical {pi}N state. The parameters of the model are determined by fitting the data of the nucleon mass, {pi}NN coupling constant and low energy {pi}N scattering phase shifts. The model predicts that the probability of finding the pion component inside the nucleon is about 20%. The calculated {pi}NN form factor differs significantly from the conventional monopole form. The dynamical consequences of the differences are demonstrated in a calculation of electromagnetic production of pions from the nucleon and the deuteron. 7 refs., 4 figs., 1 tab.
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