Beyond the time-dependent Hartree-Fock: The collision terms in a mean-field theory

2008 ◽  
pp. 172-180
Author(s):  
H.C. Pauli
Keyword(s):  
Field Theory ◽  
Mean Field Theory ◽  
Mean Field ◽  
Time Dependent ◽  
Hartree Fock

scholarly journals Regular and chaotic dynamics in time-dependent relativistic mean-field theory

1997 ◽  
Vol 56 (6) ◽  
pp. 6418-6426 ◽  
Author(s):  
D. Vretenar ◽  
P. Ring ◽  
G. Lalazissis ◽  
W. Pöschl
Keyword(s):  
Field Theory ◽  
Chaotic Dynamics ◽  
Mean Field Theory ◽  
Mean Field ◽  
Time Dependent ◽  
Relativistic Mean Field Theory ◽  
Relativistic Mean Field

VERTEX CORRECTIONS IN THE NUCLEAR SCHWINGER–DYSON FORMALISM

2002 ◽  
Vol 11 (04) ◽  
pp. 321-333 ◽  
Author(s):  
MASAHIRO NAKANO ◽  
HIROYUKI MATSUURA ◽  
TAISUKE NAGASAWA ◽  
KEN-ICHI MAKINO ◽  
NOBUO NODA ◽  
...  
Keyword(s):  
Field Theory ◽  
Correlation Energy ◽  
Mean Field Theory ◽  
Mean Field ◽  
The Other ◽  
Vertex Correction ◽  
Hartree Fock ◽  
Vertex Corrections ◽  
Negative Correlation Energy ◽  
Self Consistent

We develop the Nuclear Schwinger–Dyson (NSD) formalism to include the effects of ladder diagrams by modifying the vertex. In this extension, the NSD equation sums up both ring diagrams and ladder diagrams self-consistently. The results are compared with mean field theory, Hartree Fock and bare-vertex NSD calculations. It is shown that the vertex correction is important from the following viewpoints. First, the vertex correction greatly modifies the meson propagators, and we can avoid the ghost-pole from meson propagators in a self-consistent way. Secondly, it gives a large negative correlation-energy compared with the other calculations; as a result, it gives a softer equation of state which is preferable according to the experimental data.

scholarly journals Linear-Response Time-Dependent Embedded Mean-Field Theory

2017 ◽  
Vol 13 (9) ◽  
pp. 4216-4227 ◽  
Author(s):  
Feizhi Ding ◽  
Takashi Tsuchiya ◽  
Frederick R. Manby ◽  
Thomas F. Miller
Keyword(s):  
Field Theory ◽  
Response Time ◽  
Linear Response ◽  
Mean Field Theory ◽  
Mean Field ◽  
Time Dependent

AN INVESTIGATION OF THE NUCLEAR STRUCTURES OF EVEN–EVEN NEUTRON-RICH Sr, Zr AND Mo ISOTOPES

2013 ◽  
Vol 28 (05) ◽  
pp. 1350007 ◽  
Author(s):  
HÜSEYIN AYTEKIN ◽  
OZAN ARTUN
Keyword(s):  
Field Theory ◽  
Mean Field Theory ◽  
Mean Field ◽  
Mass Region ◽  
Skyrme Force ◽  
Binding Energies ◽  
Hartree Fock ◽  
Relativistic Mean Field ◽  
Nuclear Structures ◽  
Mo Isotopes

Binding energies and their differences are investigated to evaluate the two-neutron separation energies (S2n), the two-proton separation energies (S2p) and the average proton–neutron interaction strengths (δVpn) of neutron-rich Sr , Zr and Mo isotopes in the mass region A = 86–110, including even–even nuclei. Calculations were performed using the Hartree–Fock–Bogoliubov (HFB) method with different Skyrme force parametrizations. The obtained results are discussed and compared with the results of experimental and relativistic mean-field theory (RMFT).

scholarly journals Newtonian dynamics of imaginary time-dependent mean field theory

2021 ◽  
Vol 252 ◽  
pp. 05001
Author(s):  
Aldo Bonasera
Keyword(s):  
Cross Sections ◽  
Classical Model ◽  
Mean Field Theory ◽  
Mean Field ◽  
Time Dependent ◽  
Fusion Reactions ◽  
Model Calculations ◽  
Hartree Fock ◽  
Direct Data ◽  
Path Integral Method

A Time Dependent Hartree-Fock (TDHF) based classical model is applied to sub-barrier fusion reactions using the Feynman Path Integral Method (FPIM). The fusion cross-sections and modified astrophysical S*-factors are calculated for the 12C+12C reactions and compared to direct and indirect experimental results. Different channels cross-sections are estimated from the statistical decay of the compound nucleus. A good agreement with the direct data is found. We suggest a complementary observable given by the (imaginary) action A easily derived from theory and experiments. When properly normalized by the action in the Gamow limit it has an upper value of 1 at zero beam energies. It becomes negative at the Coulomb barrier which is Vcb=5.05±0.05MeV from direct data and Vcb=5.5MeV from model calculations.

Sign in / Sign up

Export Citation Format

Share Document