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arxiv 1903.08516 v1 pith:IVXCUEN7 submitted 2019-03-20 hep-ph

Implications of chiral symmetry on S-wave pionic resonances and the scalar charmed mesons

classification hep-ph
keywords chiralmesonpionicsymmetrybreit--wignercharmeddatadecays
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The chiral symmetry of QCD requires energy-dependent pionic strong interactions at low energies. This constraint, however, is not fulfilled by the usual Breit--Wigner parameterization of pionic resonances, leading to masses larger than the real ones. We derive relations between nonleptonic three-body decays of the $B$-meson into a $D$-meson and a pair of light pseudoscalar mesons based on SU(3) chiral symmetry. Employing effective field theory methods, we demonstrate that taking into account the final-state interactions, the experimental data of the decays $B^-\to D^+\pi^-\pi^-$, $B_s^0\to \bar{D}^0K^-\pi^+$, $B^0\to\bar{D}^0\pi^-\pi^+$, $B^-\to D^+\pi^-K^-$ and $B^0\to\bar{D}^0\pi^-K^+$ can all be described by the nonperturbative $\pi/\eta/K$-$D/D_s$ scattering amplitudes previously obtained from a combination of chiral effective field theory and lattice QCD calculations. The results provide a strong support of the scenario that the broad scalar charmed meson $D^\ast_0(2400)$ should be replaced by two states, the lower one of which has a mass of around 2.1 GeV, much smaller than that extracted from experimental data using a Breit--Wigner parameterization.

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Cited by 3 Pith papers

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

  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

    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. Analysis of the $D_0^*(2300)$ resonance from lattice QCD under chiral symmetry

    hep-ph 2026-04 unverdicted novelty 7.0

    Chiral symmetry corrections in lattice QCD fits shift the D0*(2300) resonance pole closer to the Dπ threshold and reduce its width, while coupled channels produce a two-pole structure.

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

    hep-ph 2026-07 unverdicted novelty 6.0

    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...