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Variational approach to $N$-body interactions in finite volume

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arxiv 1810.01261 v2 pith:ZAF66FMT submitted 2018-10-02 hep-lat hep-ph

Peng Guo , Michael Döring , Adam P. Szczepaniak This is my paper · ORCID
classification hep-lathep-ph
keywords n-bodyapproachvariationalbodyformalisminfinite-volumeperiodicconvenient
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abstract

We explore variational approach to the finite-volume $N$-body problem. The general formalism for N non-relativistic spinless particles interacting with periodic pair-wise potentials yields N-body secular equations. The solutions depend on the infinite-volume N-body wave functions. Given that the infinite-volume N-body dynamics may be solved by the standard Faddeev approach, the variational N-body formalism can provide a convenient numerical framework for finding discrete energy spectra in periodic lattice structures.

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Cited by 2 Pith papers

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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 of 10

    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.

  2. Toward extracting scattering phase shift from integrated correlation functions IV: Coulomb corrections

    hep-lat 2025-06 conditional novelty 6.0 of 10

    By subtracting the pure-Coulomb correlation function from the Coulomb-plus-short-range one, the authors derive a divergence-free integral relation to short-range phase shifts and verify it in an exactly solvable model.

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