Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Magic numbers for shape coexistence   The increasing deformation in atomic nuclei leads to the change of the
classical magic numbers (2,8,20,28,50,82..) which dictate the arrangement of
nucleons in complete shells. The magic numbers of the three-dimensional
harmonic oscillator (2,8,20,40,70...) emerge at deformations around
epsilon=0.6. At lower deformations the two sets of magic numbers antagonize,
leading to shape coexistence. A quantitative investigation is performed using
the usual Nilsson model wave functions and the recently introduced proxy-SU(3)
scheme.

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The categories of this paper are: stat
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
19
The categories of this paper are: eess