Mirror versus naive assignment in chiral models for the nucleon

Abstract

In the framework of chiral model(s) based on the linear realization of chiral symmetry, we investigate the low-energy phenomenological properties of the nucleon and its chiral partner (identified with either $N(1535)$ or $N(1650)$) in the naive assignment and compare the results with the ones obtained in the mirror assignment. We find that, within the naive assignment, we are not able to reproduce the experimental value of the isospin-odd scattering length, while the mirror assignment is in good agreement with it for both choices $N(1535)$ and $N(1650)$. The isospin-even scattering length is not yet conclusive in either assignment because it depends crucially on the poorly known scalar mesonic sector. The decay with ${\Gamma }_{N(1535)\to N\eta }$ turns out to be far too small in both the naive and mirror assignments, while ${\Gamma }_{N(1650)\to N\eta }$ is described correctly by both of them. In conclusions, the mirror assignment with $N(1650)$ as the chiral partner of the nucleon is the favored configuration.

15 pages, 2 figures, 3 tables. To appear in IJMPA

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Cited by in corpus (16)

• Chiral Mirror-Baryon-Meson Model and Nuclear Matter beyond Mean-Field
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• A Three-Flavor Chiral Effective Model with Four Baryonic Multiplets within the Mirror Assignment
• Low-energy limit of the $O(4)$ quark-meson model from the functional renormalization group approach
• Casimir effect for nucleon parity doublets
• Extended Goldberger-Treiman relation obtained in a three-flavor parity doublet model
• Chiral partner structure of light nucleons in an extended parity doublet model
• Influence of the axial anomaly on the decay $N(1535)\to N\eta$
• Baryon fields with $U_L(3)\times U_R(3)$ chiral symmetry V: Pion-Nucleon and Kaon-Nucleon $\Sigma$ Terms
• Role of a four-quark and a glueball state in pion-pion and pion-nucleon scattering
• Ordinary and exotic mesons in the extended Linear Sigma Model
• Phenomenology of a pseudoscalar glueball and charmed mesons
• Role of scalar dibaryon and $f_0(500)$ in the isovector channel of low-energy neutron-proton scattering
• Chiral, parity-doublet, effective-Lagrangian mean-field theories for nuclear and astrophysical phenomenology
• The eLSM at nonzero density
• Three-flavor chiral effective model with four baryonic multiplets within the mirror assignment