TL;DR
This paper derives a formula linking energy levels of coupled-channel two-particle systems in a harmonic trap to reaction phase shifts and inelasticity, enabling extraction of nuclear reaction amplitudes from ab initio calculations.
Contribution
The paper introduces a new formula connecting trapped system energy levels to reaction parameters, facilitating nuclear reaction analysis from discrete energy spectra.
Findings
Derived a formula relating energy levels to phase shifts and inelasticity.
Enables extraction of inelastic reaction amplitudes from harmonic trap calculations.
Provides a method for analyzing coupled-channel nuclear reactions in confined systems.
Abstract
Coupled-channel two-particle systems bound by a harmonic trap are discussed in the present paper. We derive the formula that relates the energy levels of such trapped systems to phase shifts and inelasticity of coupled-channel reactions. The formula makes it possible to extract amplitudes of inelastic nuclear reactions from ab initio calculations of discrete levels of many-nucleon systems in a harmonic trap.
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