Next: Canonical basis
Up: Approximations to ATDHFB
Previous: Approximations to ATDHFB
In most of the studies, the time-odd interaction matrix
appearing in Eq. (27) is neglected. In the following, this
approximation will be referred to as the cranking approximation
(ATDHFB-C). In the absence of the term involving
, the
-matrix can be easily obtained in the quasiparticle basis
from the equation:
![\begin{displaymath}
-i F^i_{\mu \nu} = (E_\mu + E_\nu) {Z}^i_{\mu \nu}\,\,\,
\end{displaymath}](img93.png) |
(33) |
and the collective cranking mass tensor is given by:
![\begin{displaymath}
{\cal M}^C_{ij} = \frac {1} {2 {\dot q_i} {\dot q_j}}
\sum...
...{i}_{\mu \nu} F^{j\ast}_{\mu \nu} \right) } {E_\mu + E_\nu}.
\end{displaymath}](img94.png) |
(34) |
It should be noted that Eq. (33) is diagonal in the quasiparticle
basis and not in the canonical basis.
The essential input to the ATDHFB-C mass tensor (34) is the
matrix
. In the following,
is evaluated in both canonical and
quasiparticle basis.
Subsections
Jacek Dobaczewski
2010-07-28