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Meng-Lin Du1, Feng-Kun Guo2,3, Christoph Hanhart4

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The lightest charmed scalar meson, D_{0}^{*}(2300), conflicts with LHCb data. A lighter D_{0}^{*}(2100) meson better explains B meson decay, highlighting the need for chiral symmetry in heavy meson analysis.

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Area of Science:

  • Particle Physics
  • Hadron Spectroscopy
  • Quantum Chromodynamics

Background:

  • The D_{0}^{*}(2300) is the lightest observed charmed scalar meson.
  • Previous analyses of B meson decays have relied on this assignment.
  • Modern B factories and LHCb experiments provide high-precision data.

Purpose of the Study:

  • To re-evaluate the properties of the lightest charmed scalar meson.
  • To analyze the decay B^{-}→D^{+}π^{-}π^{-} using precise LHCb data.
  • To ensure consistency with fundamental principles like chiral symmetry and unitarity.

Main Methods:

  • Analysis of LHCb data for the B^{-}→D^{+}π^{-}π^{-} decay.
  • Application of an unitarized chiral amplitude model.
  • Model-independent extraction of the low-energy S-wave Dπ phase.

Main Results:

  • The parameters of the D_{0}^{*}(2300) are in conflict with LHCb data.
  • A lighter charmed scalar meson, D_{0}^{*}(2100), provides a good description of the data.
  • The difference between decay and scattering Dπ phases is attributed to ρ^{-} exchange.

Conclusions:

  • The lightest charmed scalar meson is likely lighter than D_{0}^{*}(2300).
  • Accurate extraction of heavy meson properties requires methods respecting chiral symmetry, unitarity, and analyticity.
  • This finding is analogous to studies of light scalar mesons.