Unitarized Chiral Perturbation Theory in a finite volume: Scalar meson sector

By M. Döring, Ulf-G. Meißner, E. Oset, A. Rusetsky. 2011

190 citations recorded by the source corpus.

We develop a scheme for the extraction of the properties of the scalar mesons f0(600) , f0(980) , and a0(980) from lattice QCD data. This scheme is based on a two-channel chiral unitary approach with fully relativistic propagators in a finite volume. In order to discuss the feasibility of finding the mass and width of the scalar resonances, we analyze synthetic lattice data with a fixed error assigned, and show that the framework can be indeed used for an accurate determination of resonance pole positions in the multichannel scattering.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/6df25fa322b6666b8ea446e85c0af006d50868b5

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In Nuclear and High Energy Physics

1. R. Young
2. Xiang Liu
3. Shi-Lin Zhu
4. J. Dudek
5. Hua-Xing Chen
6. Wei Chen
7. R. Briceño
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Citations in the corpus

• Scattering processes and resonances from lattice QCD (2017, background): “…theory, unitarized using some prescription (Dobado and Pelaez, 1997; Gomez Nicola and Pelaez, 2002; Oller et al., 1998, 1999; Pelaez and Rios, 2006), in a finite-volume (Chen and Oset, 2013; Doring and Meissner, 2012; Doring et al., 2011, 2012; Garzon et al., 2014; Molina and Doering, 2016).”
• Pentaquark and Tetraquark States (2019, background): “[641, 642] from the viewpoints of the chiral perturbation theory.”
• FLAG Review 2019 (2019, unknown): “While field-theory procedures to take resonance effects into account are available [300–302, 597–602], they have not yet been implemented in the existing preliminary computations, which therefore suffer from uncontrolled systematic errors in calculations of weak decay form factors into unstable vect”
• The XYZ states: Experimental and theoretical status and perspectives (2019, unknown): “[843, 844, 848, 878–885].”
• Hadronic molecules (2017, methodology): “• The constituents that form the bound state must be narrow, since otherwise the bound system would also be broad (Filin et al., 2010; Guo and Meißner, 2011).”