The main ingredients of the nuclear DFT are the local nucleonic densities.
Following the standard definitions [14,10], one considers
local particle-hole (p-h) densities:
particle
,
kinetic
,
spin
,
spin-kinetic
,
current
,
tensor-kinetic
,
spin-current
,
as well as the corresponding
local particle-particle (p-p; or pairing) densities:
,
,
,
,
,
,
and
.
The local p-h and p-p densities
are defined by the spin-dependent one-body density matrices:
For instance,