• Media type: E-Article
  • Title: When hadrons become unstable: a novel type of non-analyticity in chiral extrapolations
  • Contributor: Guo, F.-K. [Author]; Hanhart, C. [Author]; F. J. Llanes-Estrada, F. J. [Author]; Meißner, U.-G. [Author]
  • imprint: North-Holland Publ., 2011
  • Published in: Physics letters / B 703, 510 - 515 (2011). doi:10.1016/j.physletb.2011.08.022
  • Language: English
  • DOI: https://doi.org/10.1016/j.physletb.2011.08.022
  • ISSN: 0370-2693
  • Keywords: numerical calculations ; hadron: mass ; pi: form factor ; vacuum polarization ; quark: mass ; Analyticity of S-matrix ; scattering amplitude ; Chiral extrapolations ; bound state ; hadron: stability ; kink ; analytic properties ; rho(770) ; expansion: chiral ; resonance ; Lattice QCD
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  • Description: Hadron masses show a specific dependence on the quark masses. Therefore, the variation of these masses can cause a resonance in a hadronic scattering amplitude to become a bound state. Consequently, the amplitude exhibits a non-analytic behavior at this transition. Crossed amplitudes, where the resonance can be exchanged in the t-channel, can be shown to exhibit the same phenomenon by s --> t analytic continuation. This entails possible kinks in lattice quark-mass extrapolations needed to compute hadronic observables. (C) 2011 Elsevier B.V. All rights reserved.
  • Access State: Open Access