Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Empirical formula extended to the yrast excitation energies of the
  unnatural parity states in even-even nuclei   Recently, it was shown that a simple empirical formula, in terms of the mass
and valence nucleon numbers, can describe the main trends of the yrast
excitation energies of the natural parity states up to $10^+$ in even-even
nuclei throughout the entire periodic table. The same empirical formula was
applied to the yrast excitation energies of unnatural parity states including
$1^+$, $2^-$, $3^+$, $4^-$, $5^+$, $6^-$, $7^+$, $8^-$, $9^+$, $10^-$, and
$11^+$ in even-even nuclei. Although the overall character of the effective
residual interaction for the unnatural parity states was quite different to
that of the natural parity states, the same form of the empirical formula was
found to hold reasonably well for the yrast excitation energies of the
unnatural parity states.

17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an