scholarly journals Nuclear structure study of some tin isotopes using the self-consistent mean field method

2019 ◽  
Vol 13 (26) ◽  
pp. 112-120
Author(s):  
Mohammed F. Majid
Keyword(s):  
Mean Field ◽  
Nucleon Nucleon ◽  
Field Method ◽  
Structure Study ◽  
Nucleon Interaction ◽  
Skyrme Interaction ◽  
Hartree Fock ◽  
Nuclear Structure Study ◽  
The Mean ◽  
Nucleon Nucleon Interaction

Hartree-Fock calculations for even-even Tin isotopes usingSkyrme density dependent effective nucleon-nucleon interaction arediscussed systematically. Skyrme interaction and the general formulafor the mean energy of a spherical nucleus are described. The chargeand matter densities with their corresponding rms radii and thenuclear skin for Sn isotopes are studied and compared with theexperimental data. The potential energy curves obtained withinclusion of the pairing force between the like nucleons in Hartree-Fock-Bogoliubov approach are also discussed.

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.

POTENTIAL OF NUCLEON INTERACTION WITH ODD NUCLEI IN THE HARTREE-FOCK THEORY

1999 ◽  
Vol 08 (02) ◽  
pp. 137-157 ◽  
Author(s):  
S. M. KRAVCHENKO ◽  
A. P. SOZNIK
Keyword(s):  
Optical Potential ◽  
Nucleon Nucleon ◽  
Effective Density ◽  
Nuclear Surface ◽  
Nucleon Interaction ◽  
Hartree Fock ◽  
Order Of Magnitude ◽  
Nucleon Nucleon Interaction ◽  
Analytical Expressions ◽  
Strong Spin

An expression for the real part of the optical potential of nucleon interaction with odd nuclei is derived in the Hartree-Fock approximation with effective density-dependent nucleon-nucleon interaction. It is shown for 13 C nucleus, as an example, that this potential contains the central interaction, as well as two spin-orbit forces connected with the spins of scattered nucleon and nucleus, and quite strong spin-spin and tensor interactions. The simple analytical expressions have been obtained for these potentials. The radial distributions of the interactions obtained and their energy dependences are investigated. It is shown that all potentials differ for neutron and proton scattering while the spin-spin and tensor forces in both cases have opposite signs, complicated radial dependences and are the same by an order of magnitude on the nuclear surface.

scholarly journals TIME-DEPENDENT HARTREE-FOCK DESCRIPTION OF HEAVY IONS FUSION

2008 ◽  
Vol 17 (01) ◽  
pp. 31-40 ◽  
Author(s):  
CÉDRIC SIMENEL ◽  
BENOÎT AVEZ
Keyword(s):  
Excitation Function ◽  
Heavy Ions ◽  
Mean Field ◽  
Time Dependent ◽  
Skyrme Interaction ◽  
Hartree Fock ◽  
The Mean ◽  
Good Agreement

A microscopic mean-field description of heavy ions fusion is performed in the framework of the Time-Dependent Hartree-Fock (TDHF) theory using a Skyrme interaction with the SLy 4d parametrization. A good agreement with experiments is obtained on the position of the fusion barriers for various total masses, mass asymmetries and deformations. The excitation function of the 16 O +208 Pb is overestimated by about 16% above the barrier. The restriction to an independent particles state in the mean-field dynamics prevents the description of sub-barrier fusion. Effect of transfer on fusion is discussed.

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