Background: In the continuum-discretized coupled-channel method, a breakup cross section (BUX) is obtained as an admixture of several components of different channels in multichannel scattering.

Purpose: Our goal is to propose an approximate way of decomposing the discretized BUX into components of each channel. This approximation is referred to as the “probability separation (P separation).”

Method: As an example, we consider ${}^{11}\mathrm{Be}$ scattering by using the three-body model with core excitation (${}^{10}\mathrm{Be}+n+T$, where $T$ is a target). The structural part is constructed by the particle-rotor model and the reaction part is described by the distorted-wave Born approximation.

Results: The validity of the P separation is tested by comparing with the exact calculation. The approximate way reproduces the exact BUXs well regardless of the configurations and/or the resonance positions of ${}^{11}\mathrm{Be}$.

Conclusion: The method proposed here can be an alternative approach for decomposing discretized BUXs into components in four- or five-body scattering where the strict decomposition is hard to perform.

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• Breakup reactions
• Direct reactions
• Nuclear reactions