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.

Semimicroscopic Optical Potential with Effective Density-Dependent Nucleon-Nucleon Interaction

1998 ◽  
Vol 07 (04) ◽  
pp. 465-483 ◽  
Author(s):  
S. M. Kravchenko ◽  
V. I. Kuprikov ◽  
A. P. Soznik
Keyword(s):  
Optical Potential ◽  
Particle Density ◽  
Nucleon Nucleon ◽  
Effective Density ◽  
Potential Influence ◽  
Density Dependent ◽  
Nucleus Scattering ◽  
Scattering Phase ◽  
Scattering Phase Shifts ◽  
Nucleon Nucleon Interaction

An expression for the optical potential is obtained in the nuclear matter approximation while taking into account the rearrangement potential for the generalized two-particle density-dependent Skyrme forces. The rearrangement potential influence on the nucleon-nucleus scattering is investigated. It is shown that two- and three-particle Skyrme forces are not equivalent in calculating the imaginary part of the optical potential. The intensity of the optical potential (both its real and imaginary parts) appears to be decreased considerably when the rearrangement potential is taken into account. As a result the dependence of scattering phase shifts on the incident nucleons energy is changed markedly.

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.

Comparative study of alpha + nucleus elastic scattering using different models

2015 ◽  
Vol 24 (01) ◽  
pp. 1550003 ◽  
Author(s):  
A. H. Al-Ghamdi ◽  
Awad A. Ibraheem ◽  
M. El-Azab Farid
Keyword(s):  
Elastic Scattering ◽  
Cross Section ◽  
Optical Potential ◽  
Optical Model ◽  
Distribution Density ◽  
Cluster Structure ◽  
Nucleon Nucleon ◽  
Angular Distributions ◽  
Nucleon Interaction ◽  
Nucleon Nucleon Interaction

The alpha (α) elastic scattering from different targets potential over the energy range 10–240 MeV has been analyzed in the framework of the single-folding (SF) optical model. Four targets are considered, namely, 24 Mg , 28 Si , 32 S and 40 Ca . The SF calculations for the real central part of the nuclear optical potential are performed by folding an effective α–α interaction with the α-cluster distribution density in the target nucleus. The imaginary part of the optical potential is expressed in the phenomenological Woods–Saxon (WS) form. The calculated angular distributions of the elastic scattering differential cross-section using the derived semimicroscopic potentials successfully reproduce 36 sets of data all over the measured angular ranges. The obtained results confirm the validity of the α-cluster structure of the considered nuclei. For the sake of comparison, the same sets of data are reanalyzed using microscopic double-folded optical potentials based upon the density-dependent Jeukenne–Lejeune–Mahaux (JLM) effective nucleon–nucleon interaction.

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