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Multi-π^+ systems in finite volume

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arxiv 2002.09266 v2 pith:CAKVSRWD submitted 2020-02-21 hep-lat hep-ph

Multi-π^+ systems in finite volume

classification hep-lat hep-ph
keywords finiteformalismlatticeinteractionpair-wisevolumeanalyzeapplication
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present a formalism to describe two-$\pi^+$ and three-$\pi^+$ dynamics in finite volume, the formalism is based on combination of a variational approach and the Faddeev method. Both pair-wise and three-body interactions are included in the presentation. Impacts of finite lattice spacing and the cubic lattice symmetry are also discussed. To illustrate application of the formalism, the pair-wise contact interaction that resembles the leading order interaction terms in chiral effective theory is used to analyze recent lattice results.

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  1. Coupled-channel approach to isotensor $\pi\pi\pi$ scattering from lattice QCD

    hep-lat 2026-01 conditional novelty 6.0

    The I=2 three-pion spectrum from lattice QCD is described by a repulsive rho-pi S-wave interaction, consistent with a leading-order effective Lagrangian.