Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Amplitude analysis of the $D_s^{+} \rightarrow \pi^{+} \pi^{-} \pi^{+}$
  decay   Utilizing the data set corresponding to an integrated luminosity of $3.19$
fb$^{-1}$ collected by the BESIII detector at a center-of-mass energy of 4.178
GeV, we perform an amplitude analysis of the $D_s^+\to\pi^+\pi^-\pi^+$ decay.
The sample contains 13,797 candidate events with a signal purity of $\sim$80%.
We use a quasi-model-independent approach to measure the magnitude and phase of
the $D_s^+\to\pi^+\pi^-\pi^+$ decay, where the ${\cal P}$ and ${\cal D}$ waves
are parameterized by a sum of three Breit-Wigner amplitudes $\rho(770)^0$,
$\rho(1450)^0$, and $f_2(1270)$. The fit fractions of different decay channels
are also reported.

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The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph