Theory of Coupled Pion--Trinucleon Systems

Details Theory of Coupled Pion--Trinucleon Systems Theory of Coupled Pion--Trinucleon Systems

1993-12-22

arxiv.org/abs/nucl-th/9312016v1

Phys.Rev.C50:2761-2767,1994

Physics

Nuclear Physics

Nuclear Theory

REVTEX, 13 pages, Padova, DFPD 93/TH/77

Scientific paper

10.1103/PhysRevC.50.2761

We derive the dynamical equations which consistently couple the four--body ($\pi$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--$\pi$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 $\pi$ absorption/production.

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