Ground state of heavy closed shell nuclei: An effective interaction and local density approximation approach

2005 ◽  
Vol 72 (6) ◽  
Author(s):  
M. Modarres ◽  
N. Rasekhinejad
Keyword(s):  
Ground State ◽  
Local Density Approximation ◽  
Local Density ◽  
Effective Interaction ◽  
Closed Shell ◽  
Density Approximation ◽  
Approximation Approach ◽  
Closed Shell Nuclei

THE DENSITY-DEPENDENT Av18 EFFECTIVE INTERACTION AND GROUND STATE OF CLOSED SHELL NUCLEI

2011 ◽  
Vol 20 (03) ◽  
pp. 679-703 ◽  
Author(s):  
M. MODARRES ◽  
N. RASEKHINEJAD ◽  
H. MARIJI
Keyword(s):  
Experimental Data ◽  
Nuclear Matter ◽  
Ground State ◽  
Local Density ◽  
Closed Shell ◽  
Binding Energies ◽  
Nucleon Potential ◽  
Theoretical Approaches ◽  
Closed Shell Nuclei ◽  
Body Potential

The ground state properties of light closed shell nuclei, i.e. 4He, 12C, 16O, 28Si, 32S, 40Ca and 56Ni are studied by using the channel-dependent effective two-body interactions (CDEI's). The CDEI's are generated through the lowest-order constrained variational (LOCV) calculation for asymmetric nuclear matter with the charge-dependent Av18 bare nucleon–nucleon potential. The work is performed on the harmonic oscillator basis, and the local density approximation is applied to create the relative and the center of mass dependent effective two-body potential. Unlike nuclear matter, and similar to our previous calculations with the Reid68 interaction, while the Av18 potential under binds above nuclei up J max = 2 channel, it gives ground state binding energies closer to the experimental data with respect to the Δ- Reid68 and the Reid68 potentials. There are not much difference between the results of Av18 interaction with J max = 5, and those of Reid68Day potential which has been define up to J max = 5. The different CDEI's up to J max = 5 are discussed and the results of our calculations are compared with the other theoretical approaches and experimental data. Finally, it is shown that the contributions of higher partial waves (J>2) are not very important and the two-body kinetic energy in J = 1 channel is roughly twice as that of J = 0 which is not the case for the two-body potential energy.

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