Coupled-channel scattering from artificial confinement

• URL: http://arxiv.org/abs/2608.26865v1
• Date: Thu, 27 Aug 2026 09:29:34 GMT
• Title: Coupled-channel scattering from artificial confinement
• Abstract summary: Artificial confinement encodes continuum scattering information in discrete, bound-state-like spectra.<n>We apply this strategy to a two-channel cluster model of $4$He with open $3$H+p and $3$He+n channels.<n>We extract coupled-channel observables from spectra generated by a harmonic-oscillator trap, a spherical hard wall, and, within a single-partial-wave truncation.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Artificial confinement encodes continuum scattering information in discrete, bound-state-like spectra, allowing reaction observables to be extracted with finite-basis or finite-domain methods. We apply this strategy to a two-channel cluster model of $^4$He with open $^3$H+p and $^3$He+n channels. We extract coupled-channel observables from spectra generated by a harmonic-oscillator (HO) trap, a spherical hard wall, and, within a single-partial-wave truncation, a periodic cubic box. The three geometries are formulated in a unified quantization-condition framework and benchmarked against a continuum $R$-matrix calculation. Above the second-channel threshold, several confined levels at a common scattering energy are combined in an overdetermined fit to determine two phase shifts and an inelasticity. Without Coulomb interactions, all three geometries yield consistent results for the $^1S_0$ and $^3P_1$ partial waves. With Coulomb interactions in the charged $^3$H+p channel, the HO and spherical-wall results also agree closely with the continuum reference. A Monte Carlo propagation study shows that spectral uncertainties are amplified near trap-function poles and along poorly conditioned directions associated with the inelasticity and phase-shift difference, whereas the phase-shift sum remains comparatively robust. These results provide a controlled benchmark for confinement-based scattering methods and delineate their strengths and limitations for future few-body and ab initio reaction calculations.

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