Modification of the Effective Yukawa-Type Nucleon–Nucleon Interaction for Accelerating Calculations of the Real Part of the Optical Potential

2021 ◽  
Vol 76 (4) ◽  
pp. 202-208
Author(s):  
M. V. Chushnyakova ◽  
I. I. Gontchar ◽  
O. M. Sukhareva ◽  
N. A. Khmyrova
1999 ◽  
Vol 08 (02) ◽  
pp. 137-157 ◽  
Author(s):  
S. M. KRAVCHENKO ◽  
A. P. SOZNIK

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.


2015 ◽  
Vol 24 (01) ◽  
pp. 1550003 ◽  
Author(s):  
A. H. Al-Ghamdi ◽  
Awad A. Ibraheem ◽  
M. El-Azab Farid

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.


2002 ◽  
Vol 11 (05) ◽  
pp. 437-444 ◽  
Author(s):  
N. A. El-NOHY ◽  
F. A. EL-AKKAD ◽  
A. M. ABDEL-MONEM ◽  
O. S. ABDEL-FATTAH

A double folding potential has been used to calculate the real part of optical potential of 6 Li scattering by 12 C , 40 Ca , 90 Zr and 208Pb. In this model the effective nucleon-nucleon interaction potential has been developed to include an energy and density dependent in a simple form. The real part of the optical potential calculated by the double folding model is then reduced to an equivalent Wood–Saxon form using a fitting program. The obtained Wood–Saxon potentials have been used to calculate the differential cross sections for elastic scattering of 6 Li nucleus by 12 C , 40 Ca , 90 Zr and 208 Pb . This method gives satisfactory agreement of the calculated differential scattering cross section with the corresponding experimental values.


1950 ◽  
Vol 5 (2) ◽  
pp. 318-318
Author(s):  
F. Fujimoto ◽  
S. Hayakawa ◽  
Y. Yamaguchi

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