Abstract
Tests of the isospin and SU(3) transformation properties of the $\ensuremath{\Delta}C=\ensuremath{\Delta}S$ current and nonleptonic interaction are given for the three-body nonleptonic and four-body semileptonic decays of a charmed hadron belonging to the 3* representation of SU(3). The relations obtained can also be used for quasi-three-body nonleptonic and quasi-four-body semileptonic decays thus covering to some extent higher multibody decays of both kinds.
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