Fission-barrier heights in some newest liquid-drop models

2013 ◽  
Vol T154 ◽  
pp. 014023 ◽  
Author(s):  
Krzysztof Pomorski
Keyword(s):  
Liquid Drop ◽  
Fission Barrier ◽  
Barrier Heights

THE FISSION BARRIERS OF HEAVY AND EXOTIC NUCLEI

2010 ◽  
Vol 19 (04) ◽  
pp. 514-520 ◽  
Author(s):  
FEDIR IVANYUK ◽  
KRZYSZTOF POMORSKI
Keyword(s):  
Liquid Drop ◽  
Optimal Shape ◽  
Exotic Nuclei ◽  
Fission Barrier ◽  
Heavy Nuclei ◽  
Accurate Approximation ◽  
Barrier Heights ◽  
A Value ◽  
Fission Barriers ◽  
Experimental Values

We have calculated the liquid drop fission barriers of medium and heavy nuclei within the Lublin-Strasbourg-Drop model. Exploiting in addition the topographical theorem by Myers and Światecki we propose a simple but quite accurate approximation of the fission barrier heights. When comparing the r.m.s. deviation of approximated versus experimental values of fission barrier heights for known nuclei with Z > 70 a value 1.1 MeV is obtained which is comparable with the experimental uncertainties. The Strutinsky optimal shape method is generalized to the left-right asymmetric shapes of nuclei in order to investigate the influence of this degree of freedom on the barrier heights.

FISSION BARRIERS WITHIN THE LIQUID DROP MODEL WITH THE SURFACE-CURVATURE TERM

2004 ◽  
Vol 13 (01) ◽  
pp. 107-112 ◽  
Author(s):  
K. POMORSKI ◽  
J. DUDEK
Keyword(s):  
Liquid Drop ◽  
Surface Curvature ◽  
Fission Barrier ◽  
Macroscopic Model ◽  
Liquid Drop Model ◽  
Barrier Heights ◽  
Curvature Term ◽  
Fission Barriers ◽  
The Masses ◽  
Weak Influence

The recently revised liquid drop model (PRC 67(2003) 044316) containing the curvature term reproduces the masses of 2766 experimentally known isotopes having Z≥8 and N≥8 with the r.m.s. deviation equal to 0.698 MeV when the microscopic corrections of Moeller et al. is used. The influence of the congruence energy as well as the compression term on the barrier heights is discussed within this new macroscopic model. The r.m.s. deviation of the fission barrier heights of 40 isotopes with Z≥34 is 1.73 MeV only when deformation-dependent congruence energy is included. The effect of the compression term in the liquid drop energy has rather weak influence on the barrier heights.

scholarly journals FURTHER MICROSCOPIC STUDIES OF THE FISSION BARRIERS OF HEAVY NUCLEI

2012 ◽  
Vol 21 (05) ◽  
pp. 1250051 ◽  
Author(s):  
T. V. NHAN HAO ◽  
J. LE BLOAS ◽  
MENG-HOCK KOH ◽  
L. BONNEAU ◽  
P. QUENTIN
Keyword(s):  
Spontaneous Fission ◽  
The Self ◽  
Fission Barrier ◽  
Heavy Nuclei ◽  
Barrier Heights ◽  
Fission Barriers ◽  
Self Consistent ◽  
Microscopic Studies ◽  
Mean Fields ◽  
Approximate Treatment

Two systematic sources of error in most current microscopic evaluations of fission-barrier heights are studied. They are concerned with an approximate treatment of the Coulomb exchange terms (known as the Slater approximation) in the self-consistent mean-fields and the projection on good parity states (e.g., of positive parity for the spontaneous fission of an even–even nucleus) of left–right reflection asymmetric intrinsic solutions (e.g., around the second barrier). Approximate or unprojected solutions are shown to lead each to an underestimation of the barrier heights by a few hundred keV.

Static Fission-Barrier Calculations of a Two-Parameter Liquid Drop

1965 ◽  
Vol 139 (5B) ◽  
pp. B1227-B1231 ◽  
Author(s):  
James N. P. Lawrence
Keyword(s):  
Liquid Drop ◽  
Fission Barrier ◽  
Two Parameter

scholarly journals Stabilized jellium model and structural relaxation effects on the fragmentation energies of ionized silver clusters

2004 ◽  
Vol 82 (3) ◽  
pp. 239-247 ◽  
Author(s):  
M Payami
Keyword(s):  
Experimental Data ◽  
Structural Relaxation ◽  
Fission Barrier ◽  
Silver Clusters ◽  
Jellium Model ◽  
Dynamical Processes ◽  
Dissociation Energies ◽  
Barrier Heights ◽  
Relaxation Effects ◽  
Ag Clusters

Using the stabilized jellium model (SJM) in two schemes of "relaxed" and "rigid", we calculate the dissociation energies and the fission-barrier heights for the binary fragmentations of singly-ionized and doubly-ionized Ag clusters. In the calculations, we assume spherical geometries for the clusters. Comparison of the fragmentation energies in the two schemes show differences that are significant. This result reveals the advantages of the relaxed SJM over the rigid SJM in dynamical processes such as fragmentation. Comparing the relaxed SJM results and experimental data on fragmentation energies, it is possible to predict the sizes of the clusters just before their fragmentations. PACS Nos.: 36.40.Qv, 36.40.–c, 36.40.Wa

scholarly journals MACROSCOPIC-MICROSCOPIC ENERGY OF ROTATING NUCLEI IN THE FUSION-LIKE DEFORMATION VALLEY

2000 ◽  
Vol 09 (01) ◽  
pp. 51-66 ◽  
Author(s):  
RADU A. GHERGHESCU ◽  
GUY ROYER
Keyword(s):  
Shell Model ◽  
Liquid Drop ◽  
Fission Barrier ◽  
Liquid Drop Model ◽  
Potential Barriers ◽  
Angular Momenta ◽  
Microscopic Origin ◽  
Microscopic Energy ◽  
Rotating Nuclei

The energy of rotating nuclei in the fusion-like deformation valley has been determined within a liquid drop model including the proximity energy, the two-center shell model and the Strutinsky method. The potential barriers of the 84 Zr , 132 Ce , 152 Dy and 192 Hg nuclei have been determined. A first minimum having a microscopic origin and lodging the normally deformed states disappears with increasing angular momenta. The microscopic and macroscopic energies contribute to generate a second minimum where superdeformed states may survive. It becomes progressively the lowest one at intermediate spins. At higher angular momenta, the minimum moves towards the foot of the external fission barrier leading to hyperdeformed quasi-molecular states.

Systematic variation of fission barrier heights for symmetric and asymmetric mass divisions

1993 ◽  
Vol 48 (4) ◽  
pp. 1667-1676 ◽  
Author(s):  
T. Ohtsuki ◽  
H. Nakahara ◽  
Y. Nagame
Keyword(s):  
Systematic Variation ◽  
Fission Barrier ◽  
Barrier Heights

Systematics of Spontaneous-Fission Barrier Heights

2003 ◽  
Vol 18 (2-4) ◽  
pp. 361-362
Author(s):  
Z. Patyk ◽  
I. Muntian ◽  
A. Sobiczewski
Keyword(s):  
Spontaneous Fission ◽  
Fission Barrier ◽  
Barrier Heights

IMPORTANCE OF MASS ASYMMETRY AND NONAXIALITY FOR THE DESCRIPTION OF FISSION BARRIERS

2006 ◽  
Vol 15 (02) ◽  
pp. 432-436 ◽  
Author(s):  
ARTUR DOBROWOLSKI ◽  
KRZYSZTOF POMORSKI ◽  
JOHANN BARTEL
Keyword(s):  
Substantial Effect ◽  
Fission Barrier ◽  
Microscopic Model ◽  
Mass Asymmetry ◽  
Barrier Heights ◽  
Fission Barriers

In the framework of the macroscopic-microscopic model fission barriers in the region of actinide nuclei are investigated. Taking left-right mass asymmetric and non-axial shapes into account is demonstrated to have a substantial effect on fission barrier heights.

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