  The G-matrix equation is most straightforwardly formulated in the
resonating-group method if the quark-exchange kernel is directly used as the
driving term for the infinite sum of all the ladder diagrams. The inherent
energy-dependence involved in the exchange term of the normalization kernel
plays the essential role to define the off-shell T-matrix uniquely when the
complete Pauli-forbidden state exists. We analyze this using a simple solvable
model with no quark-quark interaction, and calculating the most general
T-matrix in the formulation developed by Noyes and Kowalski. This formulation
gives a certain condition for the existence of the solution in the
Lippmann-Schwinger resonating-group method. A new procedure to deal with the
corrections for the reduced masses and the internal-energy terms in the Lambda
N - Sigma N coupled-channel resonating-group equation is proposed.
