NON-MONOTONIC ALPHA- AND 6Li-POTENTIALS FROM ENERGY DENSITY FUNCTIONAL FORMALISM

2008 ◽  
Vol 22 (25n26) ◽  
pp. 4697-4708 ◽  
Author(s):  
S. HOSSAIN ◽  
A. K. BASAK ◽  
M. A. UDDIN ◽  
M. N. A. ABDULLAH ◽  
I. REICHSTEIN ◽  
...  

The present status of the α-nucleus potential, generated from the energy density functional (EDF) formalism using a realistic two-nucleon potential, which incorporates the Pauli principle, is discussed. The EDF potentials, calculated using a density distribution of α-particle that yields a binding energy of 20 MeV with a reasonable root-mean-squared radius and observed density distributions of 6 Li and various target nuclei, are found to be shallow and non-monotonic in character. This non-monotonic EDF potential reproduces satisfactorily the experimental elastic scattering data, particularly at energies above the Coulomb barrier. Since the elastic scattering data and the binding energies of all nuclei considered herein are well reproduced using the mean field generated from a realistic two-nucleon potential for nuclear and nucleonic matter, one may conclude to have reasonable information on the equation of states of nuclear and nucleonic matter from a very low to the saturation density from the present investigation.

2007 ◽  
Vol 21 (13n14) ◽  
pp. 2429-2437 ◽  
Author(s):  
Z. F. SHEHADEH ◽  
A. K. BASAK ◽  
M. N. A. ABDULLAH ◽  
M. A. UDDIN ◽  
I. REICHSTEIN ◽  
...  

The real parts of the alpha-alpha and alpha-nucleus potential, particularly for 40,44,48 Ca and 58 Ni targets are determined from a realistic two-nucleon potential using an energy-density functional approach and are found to be non-monotonic with a short range repulsion in their functional forms that are similar to those needed in accounting for elastic scattering data. The deduced alpha-alpha potential has no bound states and the calculated decay width of 8 Be of about 6.4 eV at about 200 keV energy is in agreement with the measurement.


Author(s):  
S. HOSSAIN ◽  
A. K. BASAK ◽  
M. A. UDDIN ◽  
M. N. A. ABDULLAH ◽  
I. REICHSTEIN ◽  
...  

2009 ◽  
Vol 18 (10) ◽  
pp. 2108-2113 ◽  
Author(s):  
DENIS LACROIX ◽  
MICHAEL BENDER ◽  
THOMAS DUGUET

Configuration mixing calculations performed in terms of the Skyrme/Gogny Energy Density Functional (EDF) rely on extending the Single-Reference energy functional into non-diagonal EDF kernels. The standard way to do so, based on an analogy with the pure Hamiltonian case and the use of the generalized Wick theorem, is responsible for the recently observed divergences and steps in Multi-Reference calculations. We summarize here the minimal solution to this problem recently proposed1 and applied with success to particle number restoration2. Such a regularization method provides suitable corrections of pathologies for EDF depending on integer powers of the density. The specific case of fractional powers of the density3 is also discussed.


2019 ◽  
Vol 50 (3) ◽  
pp. 269
Author(s):  
T. Haverinen ◽  
M. Kortelainen ◽  
J. Dobaczewski ◽  
K. Bennaceur

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