Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New results for the fully renormalized proton-neutron quasiparticle
  random phase approximation   A many-body Hamiltonian describing a system of Z protons and N neutrons
moving in spherical shell model mean field and interacting among themselves
through proton-proton and neutron-neutron pairing and a dipole-dipole
proton-neutron interaction of both particle-hole and particle-particle type, is
treated within a fully renormalized (FR) pnQRPA approach. Two decoupling
schemes are formulated. One of them decouples the equations of motion of
particle total number conserving and non-conserving operators. One ends up with
two very simple dispersion equations for phonon operators which are formally of
Tamm-Dancoff types. For excitations in the (N-1,Z+1) system, Ikeda sum rule is
fully satisfied provided the BCS equations are renormalized as well and
therefore solved at a time with the FRpnQRPA equations. Next, one constructs
two operators ${\cal R}^{\dagger}_{1\mu}$, ${\cal R}_{1,-\mu}(-)^{1-\mu}$ which
commutes with the particle total number conserving operators, ${\cal
A}^{\dagger}_{1\mu}$ and ${\cal A}_{1,-\mu}(-)^{1-\mu}$, and moreover could be
renormalized so that they become bosons. Then, a phonon operator is built up as
a linear combination of these four operators. The FRpnQRPA equations are
written down for this complex phonon operator and the ISR is calculated
analytically. This formalism allows for an unified description of the dipole
excitations in four neighboring nuclei (N-1,Z+1),(N+1,Z-1),(N-1,Z-1),(N+1,Z+1).
The phonon vacuum describes the (N,Z) system ground state.

18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn