Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $a_1(1260), a_1(1420)$ and the production in heavy meson decays   The $a_1(1420)$ with $I^G(J^{PC})= 1^-(1^{++})$ observed in the $\pi^+
f_0(980)$ final state in the $\pi^-p\to \pi^+\pi^-\pi^- p$ process by the
COMPASS collaboration seems unlikely to be an ordinary $\bar qq$ mesonic state.
Available theoretical explanations include tetraquark or rescattering effects
due to $a_1(1260)$ decays. If the $a_1(1420)$ were induced by the rescattering,
its production rates are completely determined by those of the $a_1(1260)$. In
this work, we propose to explore the ratios of branching fractions of heavy
meson weak decays into the $a_1(1420)$ and $a_1(1260)$, and testing the
universality of these ratios would be a straightforward way to
validate/invalidate the rescattering explanation. The decay modes include in
the charm sector the $D^0\to a_1^-\ell^+\nu$ and $D^0\to \pi^\pm a_1^\mp$, and
in the bottom sector $\overline B^0\to a_1^+ \ell^- \bar\nu$, $B\to D a_1,
\pi^\pm a_1^\mp$, $B_c\to J/\psi a_1$ and $\Lambda_b\to \Lambda_c a_1$. We
calculate the branching ratios for various decay modes into the $a_1(1260)$.
The numerical results indicate that there is a promising prospect to study
these decays on experiments including BES-III, LHCb, Babar, Belle and CLEO-c,
the forthcoming Super-KEKB factory and the under-design Circular
Electron-Positron Collider. Experimental analyses in future will lead to a
deeper understanding of the nature of the $a_1(1420)$.

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The categories of this paper are: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph