Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chiral anomaly role in $\pi_{1}(1600)\rightarrow\pi\eta^{\prime}$   The ground-state (lightest) hybrid nonet with exotic quantum numbers
$J^{PC}=1^{-+}$ and the nonet of their chiral partners with $J^{PC}=1^{+-}$
build a homochiral multiplet involving left- and right-handed currents, which
under chiral transformation change just as (axial-)vector mesons. Masses and
interactions of hybrids can be obtained in the context of the extended Linear
Sigma Model. Here, we concentrate on the decays oh hybrids into two
pseudoscalar mesons, such as $\eta\pi$ and $\eta^{\prime}\pi$ modes. Indeed,
$\pi_{1}(1400)\rightarrow\pi\eta$ and $\pi_{1}(1600)\rightarrow\pi\eta
^{\prime}$ have been seen in experiments. Assuming that $\pi_{1}(1400)$ and
$\pi_{1}(1600)$ correspond to the same state $\pi_{1}^{hyb}$, we show that
these decays (and similar ones) follow from a chirally symmetric interaction
term that breaks explicitly the axial anomaly. In this respect, these decays
would be an additional manifestation of the axial (or chiral) anomaly in the
mesonic sector.

30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph