Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bose-Einstein condensation of alpha clusters and new soft mode in
  12C--52Fe 4N nuclei in field theoretical superfluid cluster model   Bose-Einstein condensation of alpha clusters in light and medium-heavy nuclei
is studied in the frame of the field theoretical superfluid cluster model. The
order parameter of the phase transition from the Wigner phase to the
Nambu-Goldstone phase is a superfluid amplitude, square of the moduli of which
is the superfluid density distribution. The zero mode operators due to the
spontaneous symmetry breaking of the global phase in the finite number of alpha
clusters are rigorously treated. The theory is systematically applied to N
alpha nuclei from12C-52Fe at various condensation rates. In 12C it is found
that the energy levels of the gas-like well-developed alpha cluster states
above the Hoyle state are reproduced well in agreement with experiment for
realistic condensation rates of alpha clusters. The electric E2 and E0
transitions are calculated and found to be sensitive to the condensation rates.
The profound raison d'etre of the alpha cluster gas-like states above the Hoyle
state, whose structure has been interpreted geometrically in the nuclear models
without the order parameter such as the cluster models or ab initio
calculations, is revealed. It is found that in addition to the Bogoliubov-de
Gennes vibrational mode states collective states of the zero mode operators
appear systematically at low excitation energies from the N alpha threshold
energy. These collective states, new-type soft modes in nuclei due to the
Bose-Einstein condensation of the alpha clusters, emerge systematically in
light and medium-heavy mass regions and are also located at high excitation
energies from the ground state in contrast to the traditional concept of soft
mode in the low excitation energy region.

33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
16
The categories of this paper are: stat
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio