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

Olbrich, L. and Zétényi, Miklós and Giacosa, F. (2016) Three-flavor chiral effective model with four baryonic multiplets within the mirror assignment. JOURNAL OF PHYSICS-CONFERENCE SERIES, 742 (1). ISSN 1742-6588

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Abstract

We study three-flavor octet baryons by using the so-called extended Linear Sigma Model (eLSM). Within a quark-diquark picture, the requirement of a mirror assignment naturally leads to the consideration of four spin- 1 2 baryon multiplets. A reduction of the Lagrangian to the two-flavor case leaves four doublets of nucleonic states which mix to form the experimentally observed states N (939), N (1440), N (1535) and N (1650). We determine the parameters of the nucleonic part of the Lagrangian from a fit to masses and decay properties of the aforementioned states. By tracing their masses when chiral symmetry is restored, we conclude that the pairs N (939), N (1535) and N (1440), N (1650) form chiral partners.

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