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

TL;DR

This paper introduces an approximate method called P-separation for decomposing discretized breakup cross sections into individual channel components, validated through $^{11}$Be scattering models, offering a practical tool for complex multi-body scattering analysis.

Contribution

The paper proposes the P-separation method to effectively decompose discretized breakup cross sections into channel components, applicable to multi-body scattering scenarios.

Findings

P-separation accurately reproduces exact breakup cross sections.

Method is effective regardless of resonance configurations.

Applicable to complex four- or five-body scattering cases.

Abstract

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 multi-channel 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 $^{11}$Be scattering by using the three-body model with core excitation ($^{10}\mathrm{Be}+n+\mathrm{T}$, 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 (DWBA). 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 $^{11}$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.