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Background: In the continuum-discretized coupled-channel method, a breakupcross section (BUX) is obtained as an admixture of several components ofdifferent channels in multi-channel scattering. Purpose: Our goal is to proposean approximate way of decomposing the discretized BUX into components of eachchannel. This approximation is referred to as the "probability separation(P-separation)". Method: As an example, we consider $^{11}$Be scattering byusing the three-body model with core excitation($^{10}\mathrm{Be}+n+\mathrm{T}$, where T is a target). The structural part isconstructed by the particle-rotor model and the reaction part is described bythe distorted wave Born approximation (DWBA). Results: The validity of theP-separation is tested by comparing with the exact calculation. The approximateway reproduces the exact BUXs well regardless of the configurations and/or theresonance positions of $^{11}$Be. Conclusion: The method proposed here can bean alternative approach for decomposing discretized BUXs into components infour- or five-body scattering where the strict decomposition is hard toperform.

Practical method for decomposing discretized breakup cross sections into components of each channel