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Scalar mesons moving in a finite volume and the role of partial wave mixing

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arxiv 1205.4838 v2 pith:KIXDCB3Y submitted 2012-05-22 hep-lat hep-phnucl-th

M. Döring , U.-G. Mei{ss}ner , E. Oset , A. Rusetsky This is my paper
classification hep-lathep-phnucl-th
keywords resonancetotallatticemixingmovingparameterspartialphase
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Phase shifts and resonance parameters can be obtained from finite-volume lattice spectra for interacting pairs of particles, moving with nonzero total momentum. We present a simple derivation of the method that is subsequently applied to obtain the pi pi and pi K phase shifts in the sectors with total isospin I=0 and I=1/2, respectively. Considering different total momenta, one obtains extra data points for a given volume that allow for a very efficient extraction of the resonance parameters in the infinite-volume limit. Corrections due to the mixing of partial waves are provided. We expect that our results will help to optimize the strategies in lattice simulations, which aim at an accurate determination of the scattering and resonance properties.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Revealing the $D_0^*(2300)$ two-pole structure from lattice data and the SU(3) limit

    hep-ph 2026-06 unverdicted novelty 7.0 of 10

    Lattice data analysis with UChPT finds two I=1/2 poles at physical point with positions 2094-i111 MeV and 2463-i108 MeV; lower pole splits like the sigma on ms=const trajectory and links to 3-bar, higher pole links to...

  2. Higher order quantization conditions for two-body scattering with spin

    hep-lat 2026-02 accept novelty 7.0 of 10

    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.

  3. Ab initio lattice study of neutron-alpha scattering with chiral forces at N3LO

    nucl-th 2025-07 conditional novelty 6.0 of 10

    A lattice calculation of neutron-helium-4 scattering with chiral forces at N3LO matches empirical phase shifts in the 2S1/2 and 2P3/2 channels but not the 2P1/2 channel, pointing to limitations in the three-nucleon force.

  4. Revisiting Roy-Steiner-equation analysis of pion-kaon scattering from lattice QCD data

    hep-ph 2025-06 conditional novelty 6.0 of 10

    A Roy-Steiner dispersive analysis of lattice QCD pion-kaon data at m_pi = 391 MeV finds the κ resonance at (966-i198) MeV, a broad resonance rather than the virtual-state pole reported in K-matrix analyses.

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