Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Angular momentum and parity projected multidimensionally constrained
  relativistic Hartree-Bogoliubov model   The nuclear deformations are of fundamental importance in nuclear physics.
Recently we developed a multi-dimensionally constrained relativistic
Hartree-Bogoliubov (MDCRHB) model, in which all multipole deformations
respecting the $V_4$ symmetry can be considered self-consistently. In this work
we extend this model by incorporating the angular momentum projection (AMP) and
parity projection (PP) to restore the rotational and parity symmetries broken
in the mean-field level. This projected-MDCRHB (p-MDCRHB) model enables us to
connect certain nuclear spectra to exotic intrinsic shapes such as triangle or
tetrahedron. We present the details of the method and an exemplary calculation
for $^{12}$C. We develop a triangular moment constraint to generate the
triangular configurations consisting of three $\alpha$ clusters arranged as an
equilateral triangle. The resulting $^{12}$C spectra are consistent with that
from a triangular rigid rotor for large separations between the $\alpha$
clusters. We also calculate the $B(E2)$ and $B(E3)$ values for low-lying states
and find good agreement with the experiments.

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The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con