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

Loading...
Thumbnail Image
Full text at PDC
Publication Date
2011-09-20
Authors
Llanes Estrada, Felipe José
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science BV
Citations
Google Scholar
Research Projects
Organizational Units
Journal Issue
Abstract
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.
Description
© 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).
UCM subjects
Física (Física)
Unesco subjects
Keywords
Citation
[1] V. Bernard, Prog. Part. Nucl. Phys. 60 (2008) 82. [2] S. Aoki, et al., PACS-CS Collaboration, Phys. Rev. D 81 (2010) 074503; S. Aoki, et al., PACS-CS Collaboration, Phys. Rev. D 79 (2009) 034503. [3] S. Dürr, et al., Phys. Lett. B 701 (2011) 265; S. Dürr, et al., arXiv:1011.2711 [hep-lat]. [4] W. Bietenholz, et al., arXiv:1102.5300 [hep-lat]. [5] J. Gasser, A. Zepeda, Nucl. Phys. B 174 (1980) 445. [6] M. Gell-Mann, R.J. Oakes, B. Renner, Phys. Rev. 17 (1968) 2195. [7] D.B. Leinweber, A.W. Thomas, K. Tsushima, S.V. Wright, Phys. Rev. D 64 (2001) 094502. [8] C. Hanhart, J.R. Pelaez, G. Rios, Phys. Rev. Lett. 100 (2008) 152001. [9] J. Nebreda, J.R. Pelaez, Contributed to the 12th International Conference on Meson–Nucleon Physics and the Structure of the Nucleon, arXiv:1010.3982 [hep-ph]; J. Nebreda, J.R. Pelaez, G. Rios, Phys. Rev. D 83 (2011) 094011. [10] F. Llanes-Estrada, et al., PoS EFT09 (2009) 054. [11] P.A. Boyle, et al., JHEP 0807 (2008) 112. [12] R. Frezzotti, V. Lubicz, S. Simula, ETM Collaboration, Phys. Rev. D 79 (2009) 074506. [13] S. Aoki, et al., JLQCD Collaboration, TWQCD Collaboration, Phys. Rev. D 80 (2009) 034508. [14] S. Durr, et al., Science 322 (2008) 1224. [15] H.W. Lin, et al., Hadron Spectrum Collaboration, Phys. Rev. D 79 (2009) 034502. [16] R. Baron, et al., JHEP 1006 (2010) 111. [17] G.P. Engel, et al., BGR Collaboration, Phys. Rev. D 82 (2010) 034505. [18] J. Bijnens, G. Colangelo, P. Talavera, JHEP 9805 (1998) 014. [19] P.C. Bruns, U.-G. Meißner, Eur. Phys. J. C 40 (2005) 97. [20] M. Göckeler, et al., QCDSF Collaboration, PoS LATTICE2008 (2008) 136. [21] J.J. Sakurai, Currents and Mesons, University of Chicago Press, Chicago, 1969. [22] X. Feng, K. Jansen, D.B. Renner, Phys. Rev. D 83 2011) 094505. [23] J. Gasser, U.-G. Meißner, Nucl. Phys. B 357 (1991) 90. [24] J.F. De Troconiz, F.J. Yndurain, Phys. Rev. D 65 (2002) 093001. [25] J.A. Oller, L. Roca, Phys. Lett. B 651 (2007) 139. [26] B. Ananthanarayan, I. Caprini, I.S. Imsong, Phys. Rev. D 83 (2011) 096002. [27] G. Barton, Introduction to Dispersion Techniques in Field Theory, W.A. Benjamin Inc., Amsterdam, 1965. [28] F.-K. Guo, et al., Phys. Lett. B 678 (2009) 90. [29] D.J. Antonio, et al., PoS LAT2006 (2006) 101, arXiv:hep-lat/0610080. [30] D. Becirevic, et al., Nucl. Phys. B 705 (2005) 339. [31] I.M. Dremin, Zh. Eksp. Teor. Fiz. 41 (1961) 821. [32] B.V. Geshkenbein, B.L. Ioffe, Pis’ma Zh. Eksp. Teor. Fiz. 18 (1973) 646, JETP Lett. 70 (1999) 161. [33] V. Bernard, U.-G. Meißner, A. Rusetsky, Nucl. Phys. B 788 (2008) 1. [34] V. Bernard, D. Hoja, U.-G. Meißner, A. Rusetsky, JHEP 0906 (2009) 061. [35] T. Ledwig, et al., arXiv:1104.3877 [hep-ph]; T. Ledwig, V. Pascalutsa, M. Vanderhaeghen, Phys. Rev. D 82 (2010) 091301. [36] A. Semke, M.F.M. Lutz, Nucl. Phys. A 789 (2007) 251. [37] J.R. Pelaez, G. Rios, Phys. Rev. D 82 (2010) 114002.
Collections