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Implementation of the three-neutron quantization condition

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arxiv 2410.14037 v2 pith:INTT2OFC submitted 2024-10-17 hep-lat

classification hep-lat
keywords three-neutronconditionimplementationinteractionsmatricesquantizationallowamplitudes
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present an implementation of the three-neutron quantization condition (QC) derived in previous work. We construct the matrices appearing in the QC and determine solutions numerically. The symmetries of the QC allow the projection onto irreducible representations of the appropriate little group (depending on frame momentum), restricting the size of the matrices and reducing computational complexity. In this initial study, we include only two-neutron interactions, which are modeled based on experimental data for $I=1$ scattering amplitudes. We show examples of the finite-volume spectrum in two frames and for a range of energies, illustrating the potential and also the challenges of using three-neutron spectroscopy to constrain the underlying interactions.

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  1. From scattering towards multi-hadron weak decays

    hep-lat 2025-01 unverdicted novelty 1.0 of 10

    A review of current lattice QCD scattering calculations shows that finite-volume formalisms now enable multi-hadron weak decay studies with direct relevance to flavour physics.

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