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Partial Wave Mixing in Hamiltonian Effective Field Theory

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arxiv 1912.04810 v1 pith:CRKK7REP submitted 2019-11-15 hep-lat

classification hep-lat
keywords methodmixinghamiltonianpartial-waveeffectivefieldtheoryconsistency
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abstract

Within general partial-wave mixing, a method for reducing the high dimension of the finite-volume Hamiltonian from Hamiltonian effective field theory is proposed. This method provides a new viewpoint on partial-wave mixing, and a set of matrices that can reflect the degree of partial-wave mixing. An example of isospin-2 $\pi\pi$ scattering is used to examine the consistency between this method and L\"{u}scher's method.

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Cited by 1 Pith paper

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  1. Spectral parameters of the $\rho$ resonance from lattice QCD

    hep-lat 2025-02 conditional novelty 6.0 of 10

    Lattice QCD with physical pion mass and three lattice spacings yields rho mass 781.6 +/- 10.0 MeV and width 146.5 +/- 9.9 MeV, matching experiment.

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