Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Correlations beyond the mean field in Magnesium isotopes: Angular
  momentum projection and configuration mixing   The quadrupole deformation properties of the ground and low-lying excited
states of the even-even Magnesium isotopes with N ranging from 8 to 28 have
been studied in the framework of the angular momentum projected generator
coordinate method with the Gogny force. It is shown that the N=8 neutron magic
number is preserved (in a dynamical sense) in \nuc{20}{Mg} leading to a
spherical ground state. For the magic numbers N=20 and N=28 this is not the
case and prolate deformed ground states are obtained. The method yields values
of the two neutron separation energies which are in much better agreement with
experiment than those obtained at the mean field level. It is also obtained
that \nuc{40}{Mg} is at the neutron dripline. Concerning the results for the
excitation energies of the $2^+$ excited states and their transition
probabilities to the ground state we observe a good agreement with the
available experimental data. On the theoretical side, we also present a
detailed justification of the prescription used for the density dependent part
of the interaction in our beyond-mean-field calculations.

37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat