Theory of Coupled Pion--Trinucleon Systems
L. Canton, G. Cattapan
Abstract
We derive the dynamical equations which consistently couple the four--body (πNNN) system to the underlying three--nucleon system. Our treatment can be considered the proper generalization of the Afnan--Blankleider equations for the coupled NN--πNN system. The resulting connected--kernel equation resembles in structure the Yakubovskii--Grassberger--Sandhas equation for the standard four--body problem, but involves 24 chain--labelled components (rather than the usual 18 ones) and allows for a consistent evaluation of reaction amplitudes involving π absorption/production.
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