Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effects of high-$j$ orbitals, pairing and deformed neutron shells on
  upbendings of ground-state bands in neutron-rich even-even isotopes
  $^{170-184}$Hf   The ground-state bands (GSBs) in the even-even hafnium isotopes
$^{170-184}$Hf are investigated by using the cranked shell model (CSM) with
pairing correlations treated by the particle-number conserving (PNC) method.
The experimental kinematic moments of inertia are reproduced very well by
theoretical calculations. The second upbending of the GSB at high frequency
$\hbar\omega\approx0.5$ MeV observed (predicted) in $^{172}$Hf
($^{170,174-178}$Hf) attributes to the sudden alignments of the proton high-$j$
orbitals $\pi1i_{13/2}$ $(1/2^{+}[660])$, $\pi1h_{9/2}$ $(1/2^{-}[541])$ and
orbital $\pi1h_{11/2}$ $(7/2^{-}[523])$. The first upbendings of GSBs at low
frequency $\hbar\omega=0.2-0.3$ MeV in $^{170-178}$Hf, which locate below the
deformed neutron shell $N=108$, attribute to the alignment of the neutron
orbital $\nu1i_{13/2}$. For the heavier even-even isotopes $^{180-184}$Hf,
compared to the lighter isotopes, the first band-crossing is delayed to the
high frequency due to the existence of the deformed shells $N=108,116$. The
upbendings of GSBs in $^{180-184}$Hf are predicted to occur at
$\hbar\omega\approx0.5$MeV, which come from the sharp raise of the simultaneous
alignments of both proton $\pi1i_{13/2}$, $\pi1h_{9/2}$ and neutron
$\nu2g_{9/2}$ orbitals. The pairing correlation plays a very important role in
the rotational properties of GSBs in even-even isotopes $^{180-184}$Hf. Its
effects on upbendings and band-crossing frequencies are investigated.

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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: math
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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: alg-geom