N=Z and proton-rich nuclei in the Hartree-Fock mean field model with a separable nucleon-nucleon interaction

2003 ◽  
Author(s):  
J. Rikovska Stone
Keyword(s):  
Field Model ◽  
Mean Field ◽  
Nucleon Nucleon ◽  
Nucleon Interaction ◽  
Mean Field Model ◽  
Hartree Fock ◽  
Nucleon Nucleon Interaction

CHIRAL SYMMETRY IN NUCLEAR MANY BODY SYSTEM

2008 ◽  
Vol 23 (27n30) ◽  
pp. 2551-2559
Author(s):  
HIROSHI TOKI ◽  
YOKO OGAWA ◽  
TAKAYUKI MYO ◽  
SETSUO TAMENAGA ◽  
KIYOMI IKEDA
Keyword(s):  
Sigma Model ◽  
Field Model ◽  
Mean Field ◽  
Magic Number ◽  
Nucleon Nucleon ◽  
Tensor Interaction ◽  
Pion Exchange ◽  
Many Body ◽  
Mean Field Model ◽  
Nucleon Nucleon Interaction

The pion was introduced by Yukawa as the mediator of nucleon-nucleon interaction to bind nucleons in nucleus. Due to its characteristic properties, however, the pion had not be used until recent years for description of nuclei. We present here a newly developed method to treat the pion exchange interaction in nuclei. We study nuclear structure by using the chiral sigma model lagrangian in the relativistic chiral mean field model with projection. The pion develops mean field and provides a magic number effect. We demonstrate also the ability of treating tensor interaction due to pion exchange in terms of tensor optimized shell model.

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.

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.

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