THE INTERMEDIATE ENERGY ELASTIC SCATTERING OF PROTONS BY α-CLUSTER 20Ne AND 24Mg NUCLEI

2010 ◽  
Vol 19 (02) ◽  
pp. 243-261 ◽  
Author(s):  
Yu. A. BEREZHNOY ◽  
V. P. MIKHAILYUK ◽  
V. V. PILIPENKO
Keyword(s):  
Experimental Data ◽  
Elastic Scattering ◽  
Scattering Theory ◽  
Cluster Model ◽  
Center Of Mass ◽  
Intermediate Energy ◽  
Diffraction Scattering ◽  
Multiple Diffraction ◽  
The Core ◽  
Cluster Configuration

The multiple diffraction scattering theory and the α-cluster model with dispersion have been applied for calculations of the observables for the elastic scattering of intermediate energy protons by 20 Ne and 24 Mg nuclei. The target nuclei are considered as composed of the core (16 O nucleus) and additional α-clusters (one α-cluster for 20 Ne nucleus and a dumb-bell α-cluster configuration for 24 Mg nucleus). Taking into account the α-cluster configuration of the core, it was supposed that the additional α-cluster or center of mass of the dumb-bell are arranged with the most probability inside or outside of the core. The calculated observables for the elastic p–20 Ne and p–24 Mg scattering are in agreement with the existing experimental data. The influence of the deformed core contribution on the behavior of the calculated observables also is tested.

ELASTIC SCATTERING OF DEUTERONS ON α-CLUSTER NUCLEI

1995 ◽  
Vol 10 (38) ◽  
pp. 2915-2921 ◽  
Author(s):  
V.P. MIKHAILYUK
Keyword(s):  
Experimental Data ◽  
Elastic Scattering ◽  
Cross Sections ◽  
Differential Cross ◽  
Scattering Theory ◽  
Cluster Model ◽  
Differential Cross Sections ◽  
Diffraction Scattering ◽  
Multiple Diffraction

The differential cross-sections for elastic scattering of deuterons on 12 C and 16 O nuclei at 700 MeV are calculated on the basis of multiple diffraction scattering theory and the α-cluster model with dispersion. For d−12 C scattering it was shown that the results of the calculations by the model, when the effects related with the deuteron structure included via deuteron-α amplitude are in better agreement with the experimental data than those by the model, in which incident deuteron is considered as composed of neutron and proton.

ELASTIC SCATTERING OF INTERMEDIATE ENERGY PARTICLES ON 20Ne NUCLEI

1999 ◽  
Vol 08 (05) ◽  
pp. 485-492 ◽  
Author(s):  
YU. A. BEREZHNOY ◽  
V. P. MIKHAILYUK
Keyword(s):  
Elastic Scattering ◽  
Cross Sections ◽  
Differential Cross ◽  
Scattering Theory ◽  
Cluster Model ◽  
Cluster Structure ◽  
Intermediate Energy ◽  
Proton Scattering ◽  
Diffraction Scattering ◽  
Multiple Diffraction

The differential cross-sections and polarization observables of 800 MeV proton and 1.37 GeV α-particle elastic scattering on 20 Ne nuclei are calculated on the basis of multiple diffraction scattering theory and α-cluster model with dispersion. It is shown that α-cluster structure is strongly manifested in 20 Ne nuclei and the assumption about that allows us to agree with the calculated and measured observables in the elastic 800 MeV proton scattering on these nuclei.

500 MeV PROTON ELASTIC SCATTERING ON 13C NUCLEI

2004 ◽  
Vol 13 (03) ◽  
pp. 611-618 ◽  
Author(s):  
Yu. A. BEREZHNOY ◽  
V. P. MIKHAILYUK
Keyword(s):  
Elastic Scattering ◽  
Scattering Theory ◽  
Cluster Model ◽  
Diffraction Scattering ◽  
Multiple Diffraction ◽  
The Core ◽  
Proton Elastic Scattering ◽  
Polarization Observables

The polarization observables for 500 MeV proton elastic scattering on 13 C nuclei are calculated on the basis of the multiple diffraction scattering theory and the α-cluster model with dispersion. It is shown that the model assuming that 13 C nucleus consists of a deformed core and an additional neutron most probably situated inside the core allows us to agree with calculated and measured observables.

ELASTIC AND INELASTIC PROTON MULTIPLE SCATTERING ON 12C AND 16O NUCLEI

1991 ◽  
Vol 06 (09) ◽  
pp. 775-780 ◽  
Author(s):  
YU. A. BEREZHNOY ◽  
V.P. MIKHAILYUK ◽  
V.V. PILIPENKO
Keyword(s):  
Experimental Data ◽  
Inelastic Scattering ◽  
Multiple Scattering ◽  
Single Particle ◽  
Scattering Theory ◽  
Cluster Model ◽  
Diffraction Scattering ◽  
Multiple Diffraction ◽  
Nucleon Density ◽  
Mev Protons

The elastic and inelastic scattering polarization observables of the 800 MeV protons on 12C and 16O nuclei are calculated on the basis of the multiple diffraction scattering theory. It was shown that the results of the calculations for elastic p-12C and p-16O scattering by the α-cluster model with dispersion are in a better agreement with the experimental data than those with the single-particle nucleon density.

ELASTIC 12C–12C SCATTERING AT INTERMEDIATE ENERGIES

2002 ◽  
Vol 11 (04) ◽  
pp. 281-287 ◽  
Author(s):  
YU. A. BEREZHNOY ◽  
V. P. MIKHAILYUK
Keyword(s):  
Cross Sections ◽  
Differential Cross ◽  
Scattering Theory ◽  
Cluster Model ◽  
Differential Cross Sections ◽  
Diffraction Scattering ◽  
Multiple Diffraction ◽  
Intermediate Energies

The differential cross-sections for elastic 12C–12C scattering at 2400 and 1449 MeV are calculated on the basis of the multiple diffraction scattering theory and α-cluster model with dispersion. At the energy 2400 MeV the calculations were performed by means of "effective" and "free" α–α amplitudes. It is shown that the results obtained differ significantly.

scholarly journals Elastic scattering and breakup reactions with light proton- and neutron-rich exotic nuclei

2018 ◽  
Vol 194 ◽  
pp. 07002
Author(s):  
M.K. Gaidarov ◽  
V.K. Lukyanov ◽  
D.N. Kadrev ◽  
E.V. Zemlyanaya ◽  
A.N. Antonov ◽  
...  
Keyword(s):  
Experimental Data ◽  
Elastic Scattering ◽  
Cross Sections ◽  
Cluster Model ◽  
Microscopic Analysis ◽  
High Energy ◽  
The Real ◽  
Optical Potentials ◽  
Generator Coordinate ◽  
Energy Approximation

A microscopic analysis of the optical potentials (OPs) and cross sections of elastic scattering of 8B on 12C, 58Ni, and 208Pb targets at energies 20 < E < 170 MeV and 12,14Be on 12C at 56 MeV/nucleon is carried out. The real part of the OP is calculated by a folding procedure and the imaginary part is obtained on the base of the high-energy approximation (HEA). The density distributions of 8B evaluated within the variational Monte Carlo (VMC) model and the three-cluster model (3CM) are used to construct the potentials. The 14Be densities obtained in the framework of the the generator coordinate method (GCM) are used to calculate the optical potentials, while for the same purpose both the VMC model and GCM densities of 12Be are used. In the hybrid model developed and explored in our previous works, the only free parameters are the depths of the real and imaginary parts of OP obtained by fitting the experimental data. The use of HEA to estimate the imaginary OP at energies just above the Coulomb barrier is discussed. In addition, cluster model, in which 8B consists of a p-halo and the 7Be core, is applied to calculate the breakup cross sections of 8B nucleus on 9Be, 12C, and 197Au targets, as well as momentum distributions of 7Be fragments. A good agreement of the theoretical results with the available experimental data is obtained. It is concluded that the reaction studies performed in this work may provide supplemental information on the internal spatial structure of the proton- and neutron-halo nuclei.

12C isotope in relativistic cluster model

2019 ◽  
Vol 34 (20) ◽  
pp. 1950158 ◽  
Author(s):  
N. Roshanbakht ◽  
M. R. Shojaei
Keyword(s):  
Experimental Data ◽  
Wave Function ◽  
Cluster Model ◽  
Center Of Mass ◽  
Mass Motion ◽  
Body System ◽  
Central Potential ◽  
Relative Coordinates ◽  
Klein Gordon ◽  
Good Coincidence

12C isotope composing 3[Formula: see text] cluster was investigated in this study. Therefore, 12C can be considered as a 3-body system. For studying the interactions in 3[Formula: see text] clusters, a central potential was applied. Jacobi relative coordinates were also employed and center of mass motion was removed. In this paper, the Klein–Gordon (K–G) equation was solved using Nikiforov–Uvarov potential. At the end, the energy spectrum and wave function of isotope 12C were determined and the results were compared with the experimental data which showed good coincidence reflecting the success of our model in prediction.

Testing the core-cluster model calculations for some heavy deformed nuclei

2019 ◽  
Vol 28 (07) ◽  
pp. 1950049
Author(s):  
L. I. Abou-Salem ◽  
K. E. Abdelmageed ◽  
I. A. Elmashad ◽  
R. Al Allam
Keyword(s):  
Experimental Data ◽  
Cluster Model ◽  
Theoretical Calculations ◽  
Transition Probability ◽  
Parent Nucleus ◽  
Negative Parity ◽  
Excitation Energies ◽  
Model Calculations ◽  
The Core ◽  
Core Cluster

In this work, the spectra of some even–even isotopes are studied by selecting core-cluster decomposition of the parent nucleus. The considered nuclei lie in the rare-earth and the transition metal regions. The Schrödinger equation can be solved using Bohr–Sommerfeld relation and the modified Woods–Saxon beside Coulomb potentials to reproduce the spectra of these isotopes with mass number [Formula: see text]. The theoretical calculations of the excitation energies of the ground state rotational band are compared to the experimental data. The cluster model calculations show a good agreement with the experimental data for the transitional and rotational nuclei more than the vibrational nuclei. Some negative parity bands of the chosen nuclei are studied. The core-cluster charge products are correlated with the transition probability [Formula: see text].

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