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.

ENERGY DISSIPATION IN FUSION REACTIONS FROM DYNAMICAL MEAN-FIELD THEORY

2009 ◽  
Vol 18 (10) ◽  
pp. 2114-2118 ◽  
Author(s):  
KOUHEI WASHIYAMA ◽  
DENIS LACROIX
Keyword(s):  
Energy Dissipation ◽  
Degrees Of Freedom ◽  
Center Of Mass ◽  
Mean Field Theory ◽  
Mean Field ◽  
Fusion Reactions ◽  
Simple Estimate ◽  
Hartree Fock ◽  
Center Of Mass Energy ◽  
Body Energy

Nucleus-nucleus interaction potentials and friction coefficients associated with one-body energy dissipation in the entrance channel of fusion reactions are extracted from the microscopic time-dependent Hartree-Fock theory. They show center-of-mass energy dependence close to the Coulomb barrier energy. This dependence indicates dynamical reorganization of internal degrees of freedom. We give a simple estimate of excitation energy from microscopic nucleon exchange.

scholarly journals RELATIVE MOTION CORRECTION TO FISSION BARRIERS

2008 ◽  
Vol 17 (01) ◽  
pp. 151-159 ◽  
Author(s):  
J. SKALSKI
Keyword(s):  
Relative Motion ◽  
Cluster Model ◽  
Motion Correction ◽  
Mean Field Theory ◽  
Mean Field ◽  
Ternary Fission ◽  
Skyrme Interaction ◽  
Hartree Fock ◽  
Fission Barriers ◽  
The Mean

We discuss the effect of kinetic energy of the relative motion becoming spurious for separate fragments on the selfconsistent mean-field fission barriers. The treatment of the relative motion in the cluster model is contrasted with the necessity of a simpler and approximate approach in the mean-field theory. A scheme of the energy correction to the Hartree-Fock is proposed. The results obtained with the effective Skyrme interaction SLy 6 show that the correction, previously estimated as ~ 8 MeV in A = 70 - 100 nuclei, amounts to 4 MeV in the medium heavy nucleus 198 Hg and to null in 238 U . However, the corrected barrier implies a shorter fission half-life of the latter nucleus. The same effect is expected to lower barriers for multipartition (i.e. ternary fission, etc) and make hyperdeformed minima less stable.

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.

Nuclear structure and decay properties of Nd isotopes

2018 ◽  
Vol 27 (07) ◽  
pp. 1850059
Author(s):  
M. Ouhachi ◽  
M. R. Oudih ◽  
M. Fellah ◽  
N. H. Allal
Keyword(s):  
Mean Field Theory ◽  
Mean Field ◽  
Drip Line ◽  
Binding Energies ◽  
Neutron Drip Line ◽  
Nd Isotopes ◽  
Decay Modes ◽  
Hartree Fock ◽  
Relativistic Mean Field ◽  
Decay Properties

Using the Hartree–Fock–Bogoliubov mean-field theory, the ground-state structural and decay properties of Nd isotopes are investigated from the proton-rich side up to the neutron drip-line. Quantities such as binding energies per nucleon, one and two-neutron separation energies, rms charge radii, and quadrupole deformation parameters have been calculated. Compared with the relativistic mean-field results, the present calculations are in better agreement with the available experimental data. The results show clearly the signature of a shape transition at [Formula: see text] and an abrupt increase in the deformation near the neutron drip-line. Further, the possible decay modes like alpha, cluster and [Formula: see text]-decay are analyzed in a unified fission model and phenomenological formulas. Overall, a good agreement is achieved between the calculated and experimental [Formula: see text]-values and half-lives wherever available. The most likely decay modes are thus identified throughout the isotopic chain.

scholarly journals DEFORMATION AND WEAK DECAY OF Λ HYPERNUCLEI

2010 ◽  
Vol 19 (12) ◽  
pp. 2552-2557 ◽  
Author(s):  
K. Hagino ◽  
Myaing Thi Win ◽  
Y. Nakagawa
Keyword(s):  
Mean Field Theory ◽  
Mean Field ◽  
Weak Decay ◽  
Core Nucleus ◽  
Hartree Fock ◽  
Relativistic Mean Field ◽  
Decay Properties ◽  
Proton Interaction ◽  
Similar Deformation ◽  
Isotope Chain

We use the self-consistent mean-field theory to discuss the ground state and decay properties of Λ hypernuclei. We first discuss the deformation of Λ hypernuclei using the relativistic mean-field (RMF) approach. We show that, although most of the hypernuclei have a similar deformation parameter to the core nucleus, the shape of 28 Si is drastically altered, from oblately deformed to spherical, if a Λ particle is added to this nucleus. We then discuss the pionic weak decay of neutron-rich Λ hypernuclei using the Skyrme Hartree-Fock + BCS method. We show that, for a given isotope chain, the decay rate increases as a function of mass number, due to the strong neutron-proton interaction.

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