• Open Access

Influence of the axial anomaly on the decay N(1535)Nη

Lisa Olbrich, Miklós Zétényi, Francesco Giacosa, and Dirk H. Rischke
Phys. Rev. D 97, 014007 – Published 18 January 2018

Abstract

The decay width of N(1535)Nη is as large as that of N(1535)Nπ. This is in evident conflict with simple expectations based on flavor symmetry and phase space. Similarly, the decay width of Λ(1670)Λ(1116)η is larger than predicted by flavor symmetry. In this work, we propose that the axial U(1)A anomaly is responsible for an enhanced coupling of (some) excited baryons to the η meson. We test this idea by including a new, chirally symmetric but U(1)A anomalous, term in an effective hadronic model describing baryons and their chiral partners in the mirror assignment. This term enhances the decay of the chiral partners into baryons and an η meson, such as N(1535)Nη. Moreover, a strong coupling of N(1535) to Nη emerges (this is important for studies of η production processes). Our approach shows that N(1535) is predominantly the chiral partner of N(939), and Λ(1670) the chiral partner of Λ(1116). Finally, our formalism can be used to couple the pseudoscalar glueball G˜ to baryons. We expect a large cross section for the reaction p¯pG˜p¯p(1535), which can be experimentally tested in the future PANDA experiment.

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  • Received 8 August 2017

DOI:https://doi.org/10.1103/PhysRevD.97.014007

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

  1. Physical Systems
  1. Properties
Particles & Fields

Authors & Affiliations

Lisa Olbrich1, Miklós Zétényi1,2,3, Francesco Giacosa1,4, and Dirk H. Rischke1,5

  • 1Institute for Theoretical Physics, Goethe University, Max-von-Laue–Str. 1, D-60438 Frankfurt am Main, Germany
  • 2Wigner Research Center for Physics, Konkoly Thege Miklós út 29-33, H-1121 Budapest, Hungary
  • 3ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung, Darmstadt 64291, Germany
  • 4Institute of Physics, Jan Kochanowski University, ul. Swietokrzyska 15, 25-406 Kielce, Poland
  • 5Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, China

See Also

Three-flavor chiral effective model with four baryonic multiplets within the mirror assignment

Lisa Olbrich, Miklós Zétényi, Francesco Giacosa, and Dirk H. Rischke
Phys. Rev. D 93, 034021 (2016)

Article Text

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Issue

Vol. 97, Iss. 1 — 1 January 2018

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