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Expressing the three-particle finite-volume spectrum in terms of the three-to-three scattering amplitude

2 Pith papers cite this work. Polarity classification is still indexing.

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abstract

In this article we complete our formalism relating the finite-volume energy spectrum of a scalar quantum field theory to the three-to-three scattering amplitude, ${\cal M}_3$. In previous work we found a quantization condition relating the spectrum to a non-standard infinite-volume quantity, denoted ${\cal K}_{{\rm df},3}$. Here we present the relation between ${\cal K}_{{\rm df},3}$ and ${\cal M}_3$. We then discuss briefly how our now completed formalism can be practically implemented to extract ${\cal M}_3$ from the finite-volume energy spectrum.

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2026 2

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UNVERDICTED 2

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Two bodies left behind

nucl-th · 2026-05-21 · unverdicted · novelty 5.0

In quasi-free high-energy breakup of a heavy-light bound state, the leading amplitude factors as the product of the remnant light-particle scattering amplitude, a probe-dependent dynamical function, and a real bound-state wavefunction term, with exact unitarity for the remnant subsystem.

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Showing 2 of 2 citing papers.

  • Exotic $T^*_{csJ}$ and $T^*_{c\bar{s}J}$ states and coupled-channel scattering at the $SU(3)$ flavour symmetric point from lattice QCD hep-lat · 2026-04-21 · unverdicted · none · ref 50

    First lattice QCD calculation at the SU(3) flavour symmetric point finds poles in exotic charm-light meson scattering amplitudes, linking a J^P=0+ resonance to experimental T*cs0(2870)^0 and T*c s-bar0(2900) states and predicting partners in J^P=1+ and 2+.

  • Two bodies left behind nucl-th · 2026-05-21 · unverdicted · none · ref 34 · internal anchor

    In quasi-free high-energy breakup of a heavy-light bound state, the leading amplitude factors as the product of the remnant light-particle scattering amplitude, a probe-dependent dynamical function, and a real bound-state wavefunction term, with exact unitarity for the remnant subsystem.