Abstract.
The Wess-Zumino-Witten structure is supplemented by a simple vector-meson Lagrangian where the vector mesons are described by antisymmetric tensor fields. With the \( \rho\) -\( \omega\) -\( \pi\) coupling as the only parameter in the sector of odd intrinsic parity, i.e. without additional contact terms, one can achieve a proper description of the decay of an \( \omega\) -meson into three pions, the single- and double-virtual pion transition form factor and the three-pion production in electron-positron collisions.
Similar content being viewed by others
References
B. Friman (Editors), The CBM physics book: Compressed baryonic matter in laboratory experiments, in Lect. Notes Phys., Vol. 814 (2011) pp. 1--980
F. Jegerlehner, A. Nyffeler, Phys. Rep. 477, 1 (2009)
E. Czerwinski, arXiv:1207.6556 [hep-ph]
S. Weinberg, Physica A 96, 327 (1979)
J. Gasser, H. Leutwyler, Ann. Phys. 158, 142 (1984)
J. Gasser, H. Leutwyler, Nucl. Phys. B 250, 465 (1985)
S. Scherer, Adv. Nucl. Phys. 27, 277 (2003)
J. Wess, B. Zumino, Phys. Lett. B 37, 95 (1971)
E. Witten, Nucl. Phys. B 223, 422 (1983)
R. Kaiser, Phys. Rev. D 63, 076010 (2001)
O. Bär, U. Wiese, Nucl. Phys. B 609, 225 (2001)
T. Ebertshäuser, H.W. Fearing, S. Scherer, Phys. Rev. D 65, 054033 (2002)
G. Ecker, J. Gasser, A. Pich, E. de Rafael, Nucl. Phys. B 321, 311 (1989)
G. Ecker, J. Gasser, H. Leutwyler, A. Pich, E. de Rafael, Phys. Lett. B 223, 425 (1989)
K. Kampf, J. Novotny, Phys. Rev. D 84, 014036 (2011)
P. Ruiz-Femenia, A. Pich, J. Portoles, JHEP 07, 003 (2003)
C. Terschlüsen, S. Leupold, M.F.M. Lutz, Eur. Phys. J. A 48, 190 (2012)
D.G. Dumm, P. Roig, A. Pich, J. Portoles, Phys. Rev. D 81, 034031 (2010)
S. Leupold, M.F.M. Lutz, Eur. Phys. J. A 39, 205 (2009)
C. Terschlüsen, S. Leupold, Phys. Lett. B 691, 191 (2010)
J.J. Sakurai, Currents and Mesons (University of Chicago Press, 1969)
S. Leupold, C. Terschlüsen, PoS BORMIO2012, 024 (2012)
M. Bando, T. Kugo, K. Yamawaki, Phys. Rep. 164, 217 (1988)
U.G. Meissner, Phys. Rep. 161, 213 (1988)
M.C. Birse, Z. Phys. A 355, 231 (1996)
F. Klingl, N. Kaiser, W. Weise, Z. Phys. A 356, 193 (1996)
M. Harada, K. Yamawaki, Phys. Rep. 381, 1 (2003)
M. Benayoun, P. David, L. DelBuono, O. Leitner, Eur. Phys. J. C 65, 211 (2010)
J. Bijnens, E. Pallante, Mod. Phys. Lett. A 11, 1069 (1996)
B. Borasoy, U.-G. Meissner, Int. J. Mod. Phys. A 11, 5183 (1996)
S. Leupold, Phys. Lett. B 646, 155 (2007)
S. Leupold, Phys. Rev. D 80, 114012 (2009)
J. Oller, E. Oset, J. Palomar, Phys. Rev. D 63, 114009 (2001)
B. Strandberg, Low-energy processes with three pions in the final state, Masters thesis, Uppsala University (2012)
I.V. Danilkin, L.I.R. Gil, M.F.M. Lutz, Phys. Lett. B 703, 504 (2011)
L. Barkov, A. Chilingarov, S. Eidelman, B. Khazin, M.Y. Lelchuk et al., Nucl. Phys. B 256, 365 (1985)
R. Akhmetshin et al., Phys. Lett. B 527, 161 (2002)
R. Akhmetshin et al., Phys. Lett. B 578, 285 (2004)
M.F.M. Lutz, S. Leupold, Nucl. Phys. A 813, 96 (2008)
J. Beringer et al., Phys. Rev. D 86, 010001 (2012)
L.G. Landsberg, Phys. Rep. 128, 301 (1985)
K. Kawarabayashi, M. Suzuki, Phys. Rev. Lett. 16, 255 (1966)
Riazuddin, Fayyazuddin, Phys. Rev. 147, 1071 (1966)
S.P. Schneider, B. Kubis, F. Niecknig, Phys. Rev. D 86, 054013 (2012)
F. Niecknig, B. Kubis, S.P. Schneider, Eur. Phys. J. C 72, 2014 (2012)
L. Heijkenskjöld, WASA-at-COSY Collaboration, private communication
L. Heijkenskjöld, KLOE Collaboration, private communication
H. Behrend et al., Z. Phys. C 49, 401 (1991)
C. Terschlüsen, Electromagnetic transition form factors of pseudoscalar and vector mesons, Diploma thesis, Giessen University (2010)
N.M. Kroll, W. Wada, Phys. Rev. 98, 1355 (1955)
T. Petri, Anomalous decays of pseudoscalar mesons, Diploma thesis, Bonn University, arXiv:1010.2378 [nucl-th] (2010)
H. Czyz, A. Grzelinska, J.H. Kuhn, G. Rodrigo, Eur. Phys. J. C 47, 617 (2006)
M.N. Achasov et al., Phys. Rev. D 68, 052006 (2003)
R.R. Akhmetshin et al., Phys. Lett. B 476, 33 (2000)
I. Danilkin, M. Lutz, S. Leupold, C. Terschlüsen, Eur. Phys. J. C 73, 2358 (2013)
R. Arnaldi et al., Phys. Lett. B 677, 260 (2009)
E.E. Jenkins, A.V. Manohar, M.B. Wise, Phys. Rev. Lett. 75, 2272 (1995)
D. Djukanovic, J. Gegelia, A. Keller, S. Scherer, Phys. Lett. B 680, 235 (2009)
T. Bauer, D. Djukanovic, J. Gegelia, S. Scherer, L. Tiator, AIP Conf. Proc. 1432, 269 (2012) arXiv:1107.5506[nucl-th]
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by J. Bijnens
Rights and permissions
About this article
Cite this article
Terschlüsen, C., Strandberg, B., Leupold, S. et al. Reactions with pions and vector mesons in the sector of odd intrinsic parity. Eur. Phys. J. A 49, 116 (2013). https://doi.org/10.1140/epja/i2013-13116-6
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epja/i2013-13116-6