When hadrons become unstable: a novel type of non-analyticity in chiral extrapolations.



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Llanes Estrada, Felipe José and Guo, F.-K and Hanhart, C and Meißner, U.-G (2011) When hadrons become unstable: a novel type of non-analyticity in chiral extrapolations. Physics Letters B, 703 (4). pp. 510-515. ISSN 0370-2693

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Official URL: http://dx.doi.org/10.1016/j.physletb.2011.08.022


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.

Item Type:Article
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© 2011 Elsevier B.V.
All rights reserved.We thank Stephan Durr and Akaki Rusetsky for useful discussions. This work was supported in part by grants provided by the HGF to the virtual institute "Spin and strong QCD" (VH-VI-231), the DFG (SFB/TR 16) and the EU I3HP "Study of Strongly Interacting Matter" under the Seventh Framework Program of the EU, FPA 2008-00592, 2007-29115-E, FIS2008-01323 (Spain) and 227431, HadronPhysics2 (EU). F.J.L.E. thanks the members of the Nuclear Theory Center at Forschungszentrum Julich for their hospitality during this work. U.G.M. also thanks the BMBF for support (Grant No. 06BN9006).

Uncontrolled Keywords:Quark-Mass Dependence, Vector Form-Factor, Perturbation-Theory, Pion, Qcd, Lattice
Subjects:Sciences > Physics
ID Code:22426
Deposited On:24 Jul 2013 13:15
Last Modified:31 Dec 2020 00:01

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