Elsevier

Nuclear Physics B

Volume 104, Issue 1, 16 February 1976, Pages 98-110
Nuclear Physics B

Pion-nucleon vertex function and the one-pion exchange potential

https://doi.org/10.1016/0550-3213(76)90074-2Get rights and content

Abstract

We calculate the πNN vertex function from field theory and dispersion relations. It contains no adjustable parameters, the only input being S- and P- waves for ππ → NN. Our vertex function, having an effective cut-off mass of 5μ and an rms radius of 0.52 fm, compares well with previous experimental determinations. We find negligible effects from the 3π dressing of the π propagator. The corrected OPEP is significantly different from the uncorrected OPEP for r < 1.5 fm. The inclusion of the corrected OPEP in meson exchange potentials will improve agreement with phenomenology.

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Present address: Department of Physics, Brooklyn College, CUNY, Brooklyn, New York, 11210.

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