The perturbative cranking approximation (ATDHFB-C) has been widely used for the
evaluation of the collective mass tensor. In this approximation, apart
from neglecting the time-odd interaction terms in the ATDHFB equation
and off-diagonal matrix elements of the HFB energy matrix
(40), the derivatives are not evaluated explicitly but are
obtained using a perturbative approach. A complete description of the
perturbative cranking model as applied to the nuclear fission process
can be found in Refs. [17,18,19,20,21].
The perturbative cranking expression for the mass tensor is obtained by
approximating the mean-field derivatives in Eq. (36) by
canonical-basis expressions. For instance, the matrix element of
can be approximated by
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(54) |
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(55) |
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(56) |
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(58) |