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Theory of Coupled Pion--Trinucleon Systems

L. Canton·G. Cattapan
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Abstract

We derive the dynamical equations which consistently couple the four--body ($π$NNN) system to the underlying three--nucleon system. Our treatment can be considered the proper generalization of the Afnan--Blankleider equations for the coupled NN--$π$NN 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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L. Canton, G. Cattapan. 1993-12-22. Theory of Coupled Pion--Trinucleon Systems. https://doi.org/10.1103/physrevc.50.2761

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