Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New Results from the Studies of the $N(1440)1/2^+$, $N(1520)3/2^-$, and
  $\Delta(1620)1/2^-$ Resonances in Exclusive $ep \to e'p' \pi^+ \pi^-$
  Electroproduction with the CLAS Detector   The transition helicity amplitudes from the proton ground state to the
$N(1440)1/2^+$, $N(1520)3/2^-$, and $\Delta(1620)1/2^-$ resonances
($\gamma_vpN^*$ electrocouplings) were determined from the analysis of nine
independent one-fold differential $\pi^+ \pi^- p$ electroproduction cross
sections off a proton target, taken with CLAS at photon virtualities 0.5
GeV$^2$ $< Q^2 <$ 1.5 GeV$^2$. The phenomenological reaction model employed for
separation of the resonant and non-resonant contributions to this exclusive
channel was further developed. The $N(1440)1/2^+$, $N(1520)3/2^-$, and
$\Delta(1620)1/2^-$ electrocouplings were obtained from the resonant amplitudes
of charged double-pion electroproduction off the proton in the aforementioned
area of photon virtualities for the first time. Consistent results on
$\gamma_vpN^*$ electrocouplings available from independent analyses of several
$W$-intervals with different non-resonant contributions offer clear evidence
for the reliable extraction of these fundamental quantities. These studies also
improved the knowledge on hadronic branching ratios for the $N(1440)1/2^+$,
$N(1520)3/2^-$, and $\Delta(1620)1/2^-$ decays to the $\pi \Delta$ and $\rho N$
final states. These new results provide a substantial impact on the QCD-based
approaches that describe the $N^*$ structure and demonstrate the capability to
explore fundamental ingredients of the non-perturbative strong interaction that
are behind the excited nucleon state formation.

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The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: q-alg
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The categories of this paper are: econ