Effect of Surface Diffuseness Parameter on Quasi-elastic Scattering Calculations for 16O+208Pb,63Cu Systems

2021 ◽  
Vol 19 (10) ◽  
pp. 100-105
Author(s):  
Nagham H. Hayef ◽  
Khalid S. Jassim
Keyword(s):  
Relative Motion ◽  
Cross Sections ◽  
Single Channel ◽  
Nuclear Potential ◽  
Channel Calculation ◽  
Coupled Channels ◽  
Coupled Channel Calculation ◽  
Surface Diffuseness ◽  
Diffuseness Parameter ◽  
Coupled Channel

A systematic study on the surface characteristic of the nucleus-nucleus potential for some heavy-ion. The nuclear potential has been described by using Woods-Saxon (WS), the single-channel (SC) and the coupled-channels (CC) calculations, which were between the relative motion of the colliding nuclei and their intrinsic motions, were conducted to study its influence on calculation, the ratio of the quasi-elastic to the Rutherford cross sections and probe the surface diffuseness method was used to find the best fitted value of the diffuseness parameters in comparison with the experimental data. We find that the best fitted value of the diffuseness parameter which obtained through a coupled-channel calculation with inert target and excited projectile forIn the current work, the single-channel (SC) and the coupled-channels (CC) calculations, which were between the relative motion of the colliding nuclei and their intrinsic motions, were conducted to study its influence on calculation, the ratio of the quasi-elastic to the Rutherford cross sections and probe the surface diffuseness find that the best fitted value of the diffuseness parameter which obtained through a coupled-channel calculation with excited target and projectile excited also inert projectile-excited target for the 16O+208Pb andexcited projectile and inert target for the 16O+63Cu.

scholarly journals Large-amplitude quadrupole shape mixing probed by the $(p,p^\prime)$ reaction: A model analysis

2019 ◽  
Vol 2019 (10) ◽  
Author(s):  
Koichi Sato ◽  
Takenori Furumoto ◽  
Yuma Kikuchi ◽  
Kazuyuki Ogata ◽  
Yukinori Sakuragi
Keyword(s):  
Cross Sections ◽  
Large Amplitude ◽  
Model Parameters ◽  
Channel Calculation ◽  
Prolate Shape ◽  
Coupled Channel Calculation ◽  
Transition Densities ◽  
A Chain ◽  
Coupled Channel ◽  
Shape Phase Transition

Abstract To discuss a possible observation of large-amplitude nuclear shape mixing by nuclear reaction, we employ a simple collective model and evaluate the transition densities with which the differential cross sections are obtained through the microscopic coupled-channel calculation. Assuming the spherical-to-prolate shape transition, we focus on large-amplitude shape mixing associated with the softness of the collective potential in the $\beta$ direction. We introduce a simple model based on the five-dimensional quadrupole collective Hamiltonian, which simulates a chain of isotopes that exhibit spherical-to-prolate shape phase transition. Taking $^{154}$Sm as an example and controlling the model parameters, we study how the large-amplitude shape mixing affects the elastic and inelastic proton scatterings. The calculated results suggest that the inelastic cross section of the $2_2^+$ state shows us the important role of the quadrupole shape mixing.

scholarly journals Microscopic coupled-channel calculation of proton and alpha inelastic scattering to the 41+ and 42+ states of 24Mg

2021 ◽  
Author(s):  
Yoshiko Kanada-En'yo ◽  
Kazuyuki Ogata
Keyword(s):  
Inelastic Scattering ◽  
Cross Sections ◽  
Angular Distributions ◽  
Channel Calculation ◽  
Triaxial Deformation ◽  
Step Process ◽  
Coupled Channel Calculation ◽  
One Step ◽  
Coupled Channel ◽  
Α Particles

Abstract The triaxial and hexadecapole deformations of the Kπ = 0+ and Kπ = 2+ bands of 24Mg have been investigated by the inelastic scatterings of various probes, including electrons, protons, and alpha(α) particles, for a prolonged time. However, it has been challenging to explain the unique properties of the scatterings observed for the 41+ state through reaction calculations. This paper investigates the structure and transition properties of the Kπ = 0+ and Kπ = 2+ bands of 24Mg employing the microscopic structure and reaction calculations via inelastic proton and α scattering. In particular, the E4 transitions to the 41+ and 42+ states are reexamined. The structure of 24Mg was calculated employing the variation after the parity and total angular momentum projections in the framework of the antisymmetrized molecular dynamics (AMD). The inelastic proton and α reactions were calculated by the microscopic coupled-channel (MCC) approach by folding the Melbourne g-matrix NN interaction with the AMD densities of 24Mg. Reasonable results were obtained on the properties of the structure, including the energy spectra and E2 and E4 transitions of the Kπ = 0+ and Kπ = 2+ bands owing to the enhanced collectivity of triaxial deformation. The MCC+AMD calculation successfully reproduced the angular distributions of the 41+ and 42+ cross sections of proton scattering at incident energies of Ep = 40–100MeV and α scattering at Eα = 100–400 MeV. This is the first microscopic calculation to describe the unique properties of the 01+ → 41+ transition. In the inelastic scattering to the 41+ state, the dominant two-step process of the 01+→ 21+→ 41+ transitions and the deconstructive interference in the weak one-step process were essential.

scholarly journals Effects of Surface Diffuseness and Coupling Radius Parameters on The Fusion and Quasi-Elastic Barrier Distributions

2019 ◽  
Vol 9 (01) ◽  
pp. 22
Author(s):  
Viska Inda Variani ◽  
Ida Usman ◽  
Muhammad Zamrun Firihu
Keyword(s):  
Heavy Ion ◽  
High Energy ◽  
Nuclear Potential ◽  
Small Surface ◽  
Fusion Barrier ◽  
Spherical Target ◽  
Coupled Channels ◽  
Barrier Distribution ◽  
Surface Diffuseness ◽  
Diffuseness Parameter

We study the heavy-ion reaction at sub-barrier energies for <sup>16</sup>O+<sup>144,154</sup>Smsystems using full order coupled-channels formalism. We especially investigate the effect of fusion and quasi- elastic barrier distributions on the surface diffuseness and the coupling radius parameters of the nuclear potential for these systems. We found that the structure of fusion and quasi-elastic barrier distributions is more sensitive to the surface diffuseness and coupling radius parameters for the reaction with spherical target, <sup>16</sup>O+<sup>144</sup>Sm systemcompared to the reaction that involves the deformed target, i.e., <sup>16</sup>O+<sup>154</sup>Sm system. In more detail, the results of coupled-channels calculations for the fusion and the quasi-elastic barrier distributions for deformed target are not sensitive to the choice of the coupling radius and surface diffuseness parameters. In mark contrast, the structure of the fusion and the quasi-elastic barrier distributions for spherical target are very sensitive to the coupling radius and surface diffuseness parameters. We found that the small surface diffuseness parameter smeared out the fusion barrier distributions and the larger coupling radius smoothed the high energy peak of the quasi-elastic barrier distributions. We also found that the larger coupling radius, , is required by the experimental quasi-elastic barrier distribution for the <sup>16</sup>O+<sup>144</sup>Sm system whereas the experimental fusion barrier distribution compulsory the small value, i.e., .

BARRIER DISTRIBUTION OF QUASI-ELASTIC BACKWAD SCATTERING IN VERY HEAVY REACTION SYSTEMS

2010 ◽  
Vol 19 (05n06) ◽  
pp. 989-996
Author(s):  
S. MITSUOKA ◽  
H. IKEZOE ◽  
K. NISHIO ◽  
Y. WATANABE ◽  
S. C. JEONG ◽  
...  
Keyword(s):  
Cross Sections ◽  
Cold Fusion ◽  
Channel Calculation ◽  
Barrier Heights ◽  
Scattering Cross ◽  
Rutherford Scattering ◽  
Barrier Distribution ◽  
Coupled Channel Calculation ◽  
Coupled Channel ◽  
Scattering Cross Sections

We have measured quasi-elastic backward scattering in the reactions of 48 Ti , 54 Cr , 56 Fe , 64 Ni , 70 Zn , 76 Ge and 86 Kr + 208 Pb to study the nucleus-nucleus interaction in Pb -based cold fusion. The barrier distributions were obtained from the first derivative of the measured excitation functions of quasi-elastic scattering cross sections normalized to the Rutherford scattering cross sections. The centroids of the barrier distributions showed deviations from several predicted barrier heights toward the low energy side except for the Christensen-Winther potential and the Aküz-Winther potential. The shapes of the barrier distributions were well reproduced by the results of a coupled-channel calculation taking account of the coupling effects of multi-phonon excitations of the quadrupole vibration for the projectiles and of the octupole vibration for the 208 Pb target. The present barrier distributions were also well reproduced by a semiclassical calculation taking into account the couplings of transfer channels and single-phonon excitations in the projectiles and the target.

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