FISSION BARRIERS OF SUPERHEAVY NUCLEI IN THE SKYRME-HARTREE-FOCK MODEL

2006 ◽  
Vol 15 (02) ◽  
pp. 302-310 ◽  
Author(s):  
ANDRZEJ STASZCZAK ◽  
JACEK DOBACZEWSKI ◽  
WITOLD NAZAREWICZ
Keyword(s):  
Axial Symmetry ◽  
Degrees Of Freedom ◽  
Mean Field ◽  
Superheavy Nuclei ◽  
Reflection Symmetry ◽  
Pairing Force ◽  
Hartree Fock ◽  
Fission Barriers ◽  
Self Consistent

Constrained Skyrme-Hartree-Fock calculations of static fission barriers are performed for even-even elements with Z = 100÷110 as well as for superheavy N=184 isotones. In our study we use the Skyrme parametrization SLy4 and a seniority pairing force treated in the BCS approximation. The computations are carried out applying a code that makes it possible to break all self-consistent symmetries of the nuclear mean field, including axial symmetry and reflection symmetry. The influence of reflection-asymmetric and triaxial degrees of freedom on fission barriers are discussed.

SKYRME–HARTREE–FOCK CALCULATIONS OF FISSION BARRIERS OF THE HEAVIEST AND SUPERHEAVY NUCLEI

2005 ◽  
Vol 14 (03) ◽  
pp. 395-402 ◽  
Author(s):  
ANDRZEJ STASZCZAK ◽  
JACEK DOBACZEWSKI ◽  
WITOLD NAZAREWICZ
Keyword(s):  
Degrees Of Freedom ◽  
Superheavy Nuclei ◽  
Pairing Force ◽  
Hartree Fock ◽  
Fission Barriers ◽  
Self Consistent

Self-consistent Skyrme–Hartree–Fock (SHF) calculations of static fission barriers are presented for even-even Fermium isotopes as well as for superheavy even-even N=184 isotones. In the particle-hole channel, we use the SLy4 Skyrme parametrization, while in the particle-particle channel we take a T=1 seniority pairing force treated in the BCS approximation. The influence of reflection-asymmetric and triaxial degrees of freedom on the static fission paths are investigated.

Fission Barriers of Superheavy Nuclei from Self-Consistent Mean-Field Models

2002 ◽  
Vol 16 (1-4) ◽  
pp. 275-280
Author(s):  
T. Bürvenich ◽  
M. Bender ◽  
P.-G. Reinhard ◽  
J.A. Maruhn
Keyword(s):  
Mean Field ◽  
Superheavy Nuclei ◽  
Mean Field Models ◽  
Fission Barriers ◽  
Self Consistent

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.

Self-Consistent Mean-Field Models and Their Application to Superheavy Nuclei

2004 ◽  
pp. 407-414
Author(s):  
T. J. Bürvenich ◽  
P.-G. Reinhard ◽  
J. A. Maruhn ◽  
W. Greiner
Keyword(s):  
Mean Field ◽  
Superheavy Nuclei ◽  
Mean Field Models ◽  
Self Consistent

NEUTRON–PROTON PAIRING CORRELATION FOR THE ROTATIONAL MOTION OF N = Z72Kr, 76Sr, AND 80Zr NUCLEI

2011 ◽  
Vol 20 (08) ◽  
pp. 1687-1699
Author(s):  
PRIANKA ROY ◽  
SHASHI K. DHIMAN
Keyword(s):  
Effective Interaction ◽  
Mean Field ◽  
High Spin State ◽  
Pairing Correlation ◽  
Effective Interactions ◽  
Hartree Fock ◽  
Self Consistent ◽  
The Mean ◽  
Proton Pairing ◽  
Band Crossing

The high-spin state properties of the neutron–proton (np) residual effective interaction are analyzed in N = Z72 Kr , 76 Sr , and 80 Zr nuclei. The self-consistent microscopic Hartree–Fock–Bogoliubov (HFB) equations have been solved by employing monopole corrected two-body effective interaction. A band crossing is observed in 72 Kr nucleus at J = 14ℏ state with monopole corrected "HPU1" and "HPU2" effective interactions. The VAP–HFB theory suggests that the "4p–4h" excitations by np residual interaction are the essential ingredients of the mean-field description of the occurence of backbending in 72 Kr nucleus.

QUANTUM CORRECTIONS TO THE CRANKING MODEL

1992 ◽  
Vol 01 (01) ◽  
pp. 95-130 ◽  
Author(s):  
ABRAHAM KLEIN ◽  
NIELS R. WALET ◽  
G. DO DANG
Keyword(s):  
Degrees Of Freedom ◽  
Quantum Correction ◽  
Mean Field ◽  
Original System ◽  
Quantum Corrections ◽  
Transition Rates ◽  
Rotation Symmetry ◽  
Exchange Effects ◽  
Self Consistent ◽  
The Mean

A method is described for the restoration of translation or rotation symmetry to a system of fermions, starting from a self-consistent cranking solution and valid when either momentum or angular momentum is large enough so that semi-classical approximations are valid. The quantum fluctuations that restore the broken symmetry are described in terms of the particle-hole degrees of freedom of the original system rather than by mapping these variables onto a boson space, as in most previous work. Only the leading quantum correction to the mean field solution is worked out in detail. New results include the treatment of direct and exchange effects on an equal footing and a method for computing transition rates.

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.

THE PROBLEM OF UNIVERSALITY OF NUCLEAR MEAN-FIELD PARAMETRIZATIONS

2005 ◽  
Vol 14 (03) ◽  
pp. 493-498 ◽  
Author(s):  
NOËL DUBRAY ◽  
JERZY DUDEK ◽  
NICOLAS SCHUNCK
Keyword(s):  
Mean Field ◽  
Exotic Nuclei ◽  
Phenomenological Description ◽  
Field Theories ◽  
Hartree Fock ◽  
Relativistic Mean Field ◽  
Self Consistent ◽  
Mean Field Theories

Most of the microscopic self-consistent approaches such as Hartree-Fock and/or Relativistic Mean Field theories use ensembles of a few adjustable parameters that are independent of the proton and neutron numbers and fixed once for all. This feature is referred to as the universality of the parametrization. It is further developed for the case of the phenomenological description of the nuclear deformed mean-field e.g. in the Woods-Saxon form and discussed in view of obtaining the parametrizations that are most stable with respect to extrapolations for the unknown nuclear ranges as e.g. in the case of various groups exotic nuclei. A new universal parametrization is obtained and an illustration presented.

THE DESCRIPTION AND ROLE OF FLUCTUATIONS IN COLLECTIVE DEGREES OF FREEDOM IN MODELS OF NUCLEAR STRUCTURE BASED ON THE SELF-CONSISTENT MEAN FIELD

2010 ◽  
Vol 25 (21n23) ◽  
pp. 1787-1791
Author(s):  
MICHAEL BENDER ◽  
PAUL-HENRI HEENEN
Keyword(s):  
Nuclear Structure ◽  
Density Functional ◽  
Degrees Of Freedom ◽  
Density Functional Method ◽  
Mean Field ◽  
Functional Method ◽  
Energy Density Functional ◽  
Open Questions ◽  
Self Consistent

This contribution sketches recent efforts to explicitly include fluctuations in collective degrees of freedom into a universal energy density functional method for nuclear structure, their successes, and some remaining open questions.

STRUCTURE OF SUPERHEAVY NUCLEI WITH THE GOGNY FORCE

2004 ◽  
Vol 13 (01) ◽  
pp. 79-86 ◽  
Author(s):  
J. F. BERGER ◽  
D. HIRATA ◽  
M. GIROD ◽  
J. DECHARGE
Keyword(s):  
Recent Work ◽  
Alpha Decay ◽  
Superheavy Nuclei ◽  
Α Decay ◽  
Fission Barriers ◽  
Self Consistent ◽  
Shell Gaps

This contribution summarizes the predictions obtained in the domain of superheavy nuclei from self-consistent microscopic calculations employing the Gogny force. Results concerning shell gaps, fission barriers and stability against alpha-decay are recalled. Recent work involving α-decay chains in odd nuclides is also presented and discussed.

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