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Three particles in a finite volume

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abstract

Within the non-relativistic potential scattering theory, we derive a generalized version of the L\"uscher formula, which includes three-particle inelastic channels. Faddeev equations in a finite volume are discussed in detail. It is proved that, even in the presence of the three-particle intermediate states, the discrete spectrum in a finite box is determined by the infinite-volume elements of the scattering S-matrix up to corrections, exponentially suppressed at large volumes.

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2026 1

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Constructing Effective Interactions via Projection-Based Inversion

nucl-th · 2026-08-04 · conditional · novelty 6.0

Discrete energy levels from truncated many-body calculations are inverted, via a Multiparameter Eigenvalue Problem emulator, into effective contact interactions that yield scattering phase shifts and resonance predictions.

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  • Constructing Effective Interactions via Projection-Based Inversion nucl-th · 2026-08-04 · conditional · none · ref 43 · internal anchor

    Discrete energy levels from truncated many-body calculations are inverted, via a Multiparameter Eigenvalue Problem emulator, into effective contact interactions that yield scattering phase shifts and resonance predictions.