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Hamiltonian effective field theory in elongated or moving finite volume

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arxiv 2103.12260 v2 pith:U3PRI3WE submitted 2021-03-23 hep-lat

Hamiltonian effective field theory in elongated or moving finite volume

classification hep-lat
keywords movingelongatedhamiltonianscatteringeffectivefieldinformationlattice
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We extend previous work concerning rest-frame partial-wave mixing in Hamiltonian effective field theory to both elongated and moving systems, where two particles are in a periodic elongated cube or have nonzero total momentum, respectively. We also consider the combination of the two systems when directions of the elongation and the moving momentum are aligned. This extension should also be applicable in any Hamiltonian formalism. As a demonstration, we analyze lattice QCD results for the spectrum of an isospin-2 $\pi\pi$ scattering system and determine the $s$, $d$, and $g$ partial-wave scattering information. The inclusion of lattice simulation results from moving frames significantly improves the uncertainty in the scattering information.

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Cited by 3 Pith papers

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    Higher-order finite-volume quantization conditions for spin-1/2 + spin-0 scattering are derived to J=11/2 and numerically checked to agree with independent box spectra to six significant figures.

  2. Two-nucleon systems at $m_{\pi}\approx292$ MeV from lattice QCD

    hep-lat 2026-05 conditional novelty 6.0

    At m_pi ≈ 292 MeV, lattice QCD finds virtual-state poles, not bound states, in both the 3S1 and 1S0 nucleon-nucleon channels.

  3. Two-nucleon systems at $m_{\pi}\approx292$ MeV from lattice QCD

    hep-lat 2026-05 accept novelty 5.0

    Lattice QCD at m_pi≈292 MeV finds virtual poles in the ^3S1 and ^1S0 NN channels with binding energies 6^{+5}_{-3} MeV and 11^{+6}_{-5} MeV, extracted via Lüscher and NPHF analyses.