Abstract
A new connected kernel formalism is proposed for multichannel nuclear reactions. The basic set of equations is derived from a set of Lippmann-Schwinger equations by transforming all divergent disconnected subseries into rearrangement channel components inductively. This set of equations determines the wave function in such a way that the system is resonating among all possible groupings of the constituent nucleons just as in the resonating group theory. In the approximation where only two-body channels are retained, our connected kernel equations are exactly the same as the conventional coupled-channel equations.
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