Meson-exchange models
Meson-exchange models
Non-linear models
Non-linear models
Models with explicit
Models with explicit
density dependence
density dependence
no nonlinear terms in the
no nonlinear terms in the
σ meson
σ meson
for
for
σ
σ
and
and ω
for
for
ρ
sat
x
/
NL3*
NL3*
DD-ME2, DD-ME
DD-ME2, DD-ME

Theoretical errors in the description of masses
CEDF
∆r
ch
rms
[fm]
NL3*
0.0283
0.0283
DD-ME2
0.0230
0.0230
DD-ME
0.0329
0.0329
DD-PC1
0.0253
0.0253
Uncertainties in radii
Agbemava, AA, D, Ray, P.Ring, PRC
89
, 054320 (2
014)
cludes complete DD-PC1 mass table as supplement

Reexamining the structure of
superheavy nuclei in CDFT
Detailed results in S. Agbemava et al, PRC
92
, 054310 (2015)
Covariant density functional theory: Reexamining the
structure of superheavy nuclei

Results for PC-PK1 are very similar to the ones with NL3*
Deformation effects on shell structure
Very important – deformed results differ substantially from spherical on
Unusual feature: oblate shapes above the spherical shell closures

Open circles –
experimentally
observed nuclei
DD-PC1:
Experimental
Z=116, 118
nuclei are oblate
PC-PK1:
Experimental
Z=118 nucleus
is spherical
Other experimental
SHE are prolate

Potential
energy
surfaces
in axially
symmetric
RHB
calculations
with separable
pairing

The source of oblate shapes – the low density of s-p states

Confronting experimental data

particle-vibration coupling
particle-vibration coupling
+ TO, TE polarization effects
+ TO, TE polarization effects
E. Litvinova, AA,
PRC 84, 014305 (2011)
NL3*
functional

Statistical distribution of deviations of the energies of
one-quasiparticle states from experiment
Two sources of deviations:
1.Low effective mass (stretching of the energy scale)
2.Wrong relative energies of the states
Triaxial CRHB; fully self-consistent
blocking, time-odd mean fields
included, NL3*, Gogny D1S pairing,
AA and S.Shawaqfeh,
PLB 706 (2011) 177
The description of deformed states
at DFT level is better than spherical
ones by a
factor
2-3 (and by a
factor
~1 (neutron) and ~2 (proton)
as compared with spherical PVC
calculations)
Similar problems in
Skyrme and Gogny DFT

ccuracy of the description of experimental data in Z>94 nucl
With exception of the
DD-ME
, the deformed
N=162 gap is well
reproduced in all CEDF’s

The Q
-values

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- Fall '19
- Kinetic Energy, PRC, density functional theory