Abstract
We investigate some of the dynamical properties of the pion by explicitly calculating the ..gamma.. and xi parameters in ..pi../sup +/..-->..e/sup +/..nu gamma.. and ..pi../sup +/..-->..e/sup +/e/sup +/e/sup -/..nu.. decays within the relativistic quark model, nucleon-loop approximation, and the sigma model. One of the purposes in this study is to clarify a sign ambiguity raised recently in the prediction of ..gamma.. within the quark model. The second purpose is to give some precise predictions for xi, which has not yet been discussed extensively. The last purpose in this analysis involves a possible connection between xi and chiral-symmetry breaking. Within the sigma model, this parameter is found to depend logarithmically upon m/sub ..pi../, the explicit-breaking parameter of the symmetry.
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