Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Three-Flavor Chiral Effective Model with Four Baryonic Multiplets
  within the Mirror Assignment   In the case of three quark flavors, (pseudo)scalar diquarks transform as
antiquarks under chiral transformations. We construct four spin-1/2 baryonic
multiplets from left- and right-handed quarks as well as left- and right-handed
diquarks. The fact that two of these multiplets transform in a "mirror" way
allows for chirally invariant mass terms. We then embed these baryonic
multiplets into the Lagrangian of the so-called extended Linear Sigma Model,
which features (pseudo)scalar and (axial-)vector mesons, as well as glueballs.
Reducing the Lagrangian to the two-flavor case, we obtain four doublets of
nucleonic states. These mix to produce four experimentally observed states with
definite parity: the positive-parity nucleon $N(939)$ and Roper resonance
$N(1440)$, as well as the negative-parity resonances $N(1535)$ 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. Studying the limit
of vanishing quark condensate, we conclude that $N(939)$ and $N(1535)$, as well
as $N(1440)$ and $N(1650)$ form pairs of chiral partners.

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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: cs
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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg