AN INVESTIGATION OF THE 16O+16O ELASTIC SCATTERING BY USING ALPHA–ALPHA DOUBLE FOLDING POTENTIAL IN OPTICAL MODEL FORMALISM

2006 ◽  
Vol 21 (29) ◽  
pp. 2217-2232 ◽  
Author(s):  
M. E. KURKCUOGLU ◽  
H. AYTEKIN ◽  
I. BOZTOSUN

In this paper, a simultaneous analysis of the elastic scattering data of the 16 O +16 O system for the energy range 5–10 MeV/nucleon is performed theoretically within the framework of the optical model formalism, by using the α–α double folding cluster potential. The α–α double folding cluster potential is evaluated by using the α-cluster distribution densities in the usual nucleon–nucleon double folding process with an effective α–α interaction potential. The results of the α–α double folding cluster potential analysis are compared with the findings of the phenomenological Woods–Saxon squared and nucleon–nucleon double folding potentials. All potentials have exhibited a very good agreement with the experimental measurements for the elastic scattering angular distributions. Furthermore, it is shown that, the α–α double folding cluster potential and nucleon–nucleon double folding potential calculations provide very consistent results with each other. Thus, the 16 O+ 16 O system has been described by optical potentials having a deep real potential part and a weak absorptive imaginary potential part.

2020 ◽  
Vol 66 (3 May-Jun) ◽  
pp. 322
Author(s):  
Sh. Hamada ◽  
B. Alshahrani ◽  
Abd Elrahman Elgamala ◽  
N. Darwish ◽  
I. Bondouk ◽  
...  

Available experimental angular distributions for 6Li elastically scattered from 16O nucleus in the energy range 13.0–50.0 MeV are reanalyzed within the framework of optical potential, double folding optical potential as well as cluster folding potential. Special interest was paid to the cluster folding based on the well-known cluster structure of 6Li. Elastic scattering data for 6Li+16O system plotted as a function of momentum transfer showed that the real Coulomb nuclear interference region independent of the bombarding energy. This structural behavior for the data could be used to define the interaction potential with some certainty and to extract reliable values for the renormalization factors.  


2008 ◽  
Vol 17 (04) ◽  
pp. 715-733 ◽  
Author(s):  
M. EL-AZAB FARID ◽  
A. M. A. NOSSAIR ◽  
AWAD A. IBRAHEEM

Elastic scattering of the two-neutron halo nucleus, 6 He , on 12 C target at 38.3 and 41.6 MeV/nucleon has been analyzed in the framework of the double-folding optical model. Real double-folded potentials based on the realistic density-dependent DDM3Y and JLM effective nucleon–nucleon interactions are generated using different forms of the nuclear matter density distribution of 6 He . The imaginary optical potentials are taken in the conventional Woods–Saxon form. The bare (unnormalized) real folded potentials derived from the JLM interaction are more successful in reproducing the data at both energies than those derived from the DDM3Y interaction. The effect of contribution of the dynamic polarization potential is also studied. A semimicroscopic approximation is proposed to simulate this potential by introducing a repulsive real part extracted from the generated folded potential. Fits to data have been slightly improved by considering this approximation.


2014 ◽  
Vol 23 (10) ◽  
pp. 1450061 ◽  
Author(s):  
Sh. Hamada ◽  
N. Burtebayev ◽  
N. Amangeldi

We have measured the angular distributions for 16 O elastically scattered on 12 C nuclei at energy 28 MeV and also for 12 C ion beam elastically scattered on 11 B target nuclei at energy 18 MeV. These measurements were performed in the cyclotron DC-60 INP NNC RK. Calculations were performed using both empirical Woods–Saxon and double folding optical model potentials. Both elastic scattering and transfer reaction were taken into consideration. We have extracted the spectroscopic factors for the configurations 16 O → 12 C + α and 12 C → 11 B + p and compared them with other calculated or extracted values at different energies from literature. The extracted spectroscopic factor for the configuration 12 C → 11 B + p from the current work is in the range 2.7–3.1, which is very close to Cohen–Kurath prediction. While for the configuration 16 O → 12 C + α, spectroscopic factors show fluctuation with energy which could be due to the well-known resonant-like behavior observed in 16 O + 12 C excitation function.


2006 ◽  
Vol 15 (06) ◽  
pp. 1317-1332 ◽  
Author(s):  
M. KARAKOC ◽  
I. BOZTOSUN

This paper comprises the first detailed application of the microscopic potentials for a simultaneous analysis of the elastic scattering and fusion cross-section data of the 12 C+ 24Mg system from 16.0 MeV to 24.0 MeV. We use the microscopic nucleon-nucleon double folding and α-α double folding cluster potentials within the framework of the optical model and coupled-channels formalism. We compare our microscopic potential results with the findings of the phenomenological deep and shallow potentials. All potentials provide a very good agreement with the experimental data for the elastic scattering angular distributions. However, only deep phenomenological, the microscopic nucleon-nucleon and α-α double folding cluster potentials provide a consistent description of the angular distributions and fusion cross-section data simultaneously.


Author(s):  
Luiz Carlos Chamon ◽  
Leandro Romero Gasques ◽  
Juan Carlos Zamora Cardona

Abstract The phenomenological strengths of the real part of the optical potential, obtained from elastic scattering data analyses within the optical model approach, present significant energy-dependence. This behavior has been associated to the intrinsic energy-dependence of the effective nucleon-nucleon interaction. However, in earlier works, we proposed that at least part of this dependence can arise from the effect of couplings to inelastic states of the nuclei. In order to deepen this study, in this paper we present extensive data analyses for the elastic scattering and inelastic excitation of 111 states of 208Pb, for the 4He + 208Pb system in a wide energy range. With the purpose of comparison, the theoretical cross sections are obtained in different approaches for the imaginary part of the potential, and within both contexts: optical model (distorted wave Born approximation) and coupled-channel calculations.


2006 ◽  
Vol 21 (31n33) ◽  
pp. 2439-2446
Author(s):  
T. Furumoto ◽  
Y. Sakuragi

A systematic analysis of alpha(4 He )-nucleus elastic scattering is made by using a microscopic optical model potential obtained by the double folding of a complex nucleon-nucleon (NN) effective interaction based on the G-matrix theory. We adopt the so-called JLM interaction as the complex NN interaction and test its applicability to the 4 He elastic scattering by 12 C , 16 O , 28 Si and 40 Ca . The experimental cross sections for incident energies ranging from E Lab = 40 to 240 MeV are well reproduced by the double folding potential up to backward angles. Although modification of the real and imaginary potential strength by about 25% and 35%, respectively, in average is necessary to reproduce the data, the renormalization factors are found to be almost constant with respect to the incident energy and target mass number.


2013 ◽  
Vol 22 (08) ◽  
pp. 1350058 ◽  
Author(s):  
SH. HAMADA ◽  
N. BURTEBAYEV ◽  
N. AMANGELDI

This paper includes the experimental measurements for the angular distributions of 16 O ion beam elastically scattered by 16 O nuclei at energies 20, 24 and 28 MeV . The experimental results were analyzed within the framework of both the optical model using different complex potential and the double folding (DF) potential obtained with different density-dependent nucleon–nucleon interactions which give the corresponding values of the nuclear incompressibility K in the Hartree–Fock calculation of nuclear matter. The agreement between the experimental results and the theoretical predictions in the whole angular range is fairly good. In DF calculations, the obtained normalization coefficient Nr is in the range 0.833–1.07.


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.


2020 ◽  
Vol 66 (3 May-Jun) ◽  
pp. 336
Author(s):  
T. Ulucay ◽  
M. Aygun

The elastic scattering angular distributions of 32S projectile by 12C, 27Al, 40Ca, 48Ca, 48Ti, 58Ni, 63Cu, 64Ni, 76Ge, 96Mo and 100Mo targets over the energy range 83.3 - 180 MeV are analyzed in the framework of the double folding model based on the optical model. The real part of the optical model potential is obtained by using double folding model for eight different density distributions of 32S which consist of Ngo, SP, 2pF, G1, G2, S, 3pF, and HFB. The imaginary part of the optical model potential is accepted as the Woods-Saxon (WS) potential. The theoretical results successfully reproduce the experimental data over both a wide energy and a wide target nucleus. Finally, simple and useful formulas which predict imaginary potential depths of each density are derived based on the elastic scattering results.


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