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Towards a precise determination of the scattering amplitudes of the charmed and light-flavor pseudoscalar mesons

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arxiv 1811.05585 v1 pith:YCQMG6VF submitted 2018-11-14 hep-ph hep-lat

Zhi-Hui Guo , Liuming Liu , Ulf-G. Meissner , J. A. Oller , A. Rusetsky This is my paper · ORCID
classification hep-phhep-lat
keywords mesonsscatteringcharmedpseudoscalarchiralfinite-volumelatticelight-flavor
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We study the scattering of the light-flavor pseudoscalar mesons ($\pi, K, \eta$) off the ground-state charmed mesons ($D,D_s$) within chiral effective field theory. The recent lattice simulation results on various scattering lengths and the finite-volume spectra both in the moving and center-of-mass frames, most of which are obtained at unphysical meson masses, are used to constrain the free parameters in our theory. Explicit formulas to include the $S$- and $P$-wave mixing to determine the finite-volume energy levels are provided. After a successful reproduction of the lattice data, we perform a chiral extrapolation to predict the quantities with physical meson masses, including phase shifts, inelasticities, resonance pole positions and the corresponding residues from the scattering of the light pseudoscalar and charmed mesons.

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Cited by 5 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. The $D_{s1}(2460)$ and other open-charm $1^+$ states in relativistic chiral effective field theory

    hep-ph 2026-07 unverdicted novelty 6.0 of 10

    Relativistic U(3) chiral EFT at NLO yields scattering lengths that match lattice data and identifies D_s1(2460) as an SU(3) triplet bound-state pole and D1(2430) as a triplet-sextet pole pair, none of which are conven...

  3. 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.

  4. Vector charmonium(-like) states in the energy range of 4.1-4.6 GeV

    hep-ph 2026-06 unverdicted novelty 5.0 of 10

    A coupled-channel framework is developed and fitted to BESIII data on vector charmonium-like states in the 4.1-4.6 GeV range, concluding that coupled-channel effects with dynamically generated poles explain the line shapes.

  5. Decay constants of the two-pole $D_0^*(2300)$

    hep-ph 2026-07 conditional novelty 4.0 of 10

    Molecular two-pole D0*(2300) decay constants are 65 and 81 MeV—much smaller than compact c¯q estimates—and imply Cabibbo-favored b-hadron branching fractions of order 10^{-5}.

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