Studying of the Nucleus-Nucleus Interaction Using Wave Function of the Nucleus and Hyperspherical Formalism

2016 ◽  
Vol 71 (11) ◽  
pp. 979-984 ◽  
Author(s):  
Fatemeh Pakdel ◽  
Ali Akbar Rajabi
Keyword(s):  
Wave Function ◽  
Cross Section ◽  
Interaction Potential ◽  
Folding Model ◽  
Nucleus Interaction ◽  
Nucleus Density ◽  
Double Folding Model ◽  
Hyperspherical Formalism ◽  
Double Folding ◽  
Dimensional Wave

AbstractThe current study presents the results of the use of the wave function of a nucleus in place of the nucleus density distribution to calculate the nucleus-nucleus interaction potential. The wave function is obtained by solving the D-dimensional wave equation using the hyperspherical formalism. The interaction potential between two nuclei is calculated using the double folding model. The numerical results for the interaction potential and the scattering cross section are presented to evaluate the formalism used to calculate the nucleus wave function.

Changes in quadrupole moments during nucleus–nucleus interaction

2019 ◽  
Vol 35 (09) ◽  
pp. 2050050
Author(s):  
Laleh Nickhah ◽  
Ali Akbar Rajabi ◽  
Majid Hamzavi
Keyword(s):  
Interaction Potential ◽  
Coulomb Potential ◽  
Solution Method ◽  
Wave Functions ◽  
Density Functions ◽  
Quadrupole Moments ◽  
Folding Model ◽  
Nucleus Interaction ◽  
Double Folding Model ◽  
Double Folding

In this paper, we examine the distribution of nuclei’s charge (the quadrupole moment of nuclei) for stable nuclei with [Formula: see text] when interacting with the [Formula: see text]O nuclei. The interaction potential between the nuclei was achieved using the double-folding method. The wave functions of the interacting nuclei were replaced by the density functions in the double-folding model. The wave functions of the interacting nuclei were obtained through the D-dimensional Schrödinger equation with the pseudo-Coulomb potential plus ring-shaped potential by the Nikiforov–Uvarov solution method.

scholarly journals Double-Folding Nucleus-Nucleus Optical Potential: Parallel MPI and OpenMP Implementations

2020 ◽  
Vol 226 ◽  
pp. 02004
Author(s):  
Maxim Bashashin ◽  
Elena Zemlyanaya ◽  
Konstantin Lukyanov
Keyword(s):  
Total Cross Section ◽  
Cross Section ◽  
Optical Potential ◽  
Folding Model ◽  
The Real ◽  
Folding Nucleus ◽  
Double Folding Model ◽  
Double Folding

The computation of the real part of the nucleus-nucleus optical potential based on the microscopic double-folding model was implemented within both the MPI and OpenMP parallelising techniques. Test calculations of the total cross section of the 6He + 28Si scattering at the energy 50 A MeV show that both techniques provide significant comparable speedup of the calculations.

scholarly journals Existence of core excited 8Be* = α+α* cluster structure in α+α scattering

2021 ◽  
Author(s):  
Yoshiharu Hirabayashi ◽  
Shigeo Ohkubo
Keyword(s):  
Wave Function ◽  
Excited State ◽  
Cluster Structure ◽  
Experimental Phase ◽  
Folding Model ◽  
Double Folding Model ◽  
Coupled Channels ◽  
First Excited State ◽  
Double Folding ◽  
First Time

Abstract We show the existence of the α+α * cluster structure at the highly excited energy around Ex =20 MeV in 8Be for the first time in the coupled channels calculations. An extended double folding model derived using a realistic precise cluster wave function with a well-developed N+3N cluster structure for the first excited state of 4He was employed. The calculation reproduces the experimental phase shifts in α+α scattering up to Ec.m. =21 MeV well. The result shows that the well-developed core-excited α+α * structure appears as resonances for L=0 and 2 near the α+α * threshold which correspond to the experimental states at Ex =20.20MeV and Ex =22.24MeV in 8Be.

scholarly journals Nuclear mean field and double-folding model of the nucleus-nucleus optical potential

2016 ◽  
Vol 94 (3) ◽  
Author(s):  
Dao T. Khoa ◽  
Nguyen Hoang Phuc ◽  
Doan Thi Loan ◽  
Bui Minh Loc
Keyword(s):  
Optical Potential ◽  
Mean Field ◽  
Folding Model ◽  
Double Folding Model ◽  
Double Folding

Comparison between different proximity potentials and the double-folding model for spherical–deformed interacting nuclei

2016 ◽  
Vol 94 (1) ◽  
pp. 102-111 ◽  
Author(s):  
M. Ismail ◽  
I.A.M. Abdul-Magead
Keyword(s):  
Coulomb Barrier ◽  
Analytical Formula ◽  
Orientation Angle ◽  
Heavy Ion ◽  
Folding Model ◽  
Deformation Parameters ◽  
Double Folding Model ◽  
Double Folding ◽  
Coulomb Part ◽  
Simple Analytical Formula

The Coulomb barrier parameters have been calculated for a spherical–deformed interacting pair of nuclei using 14 different versions of the proximity approaches and a simple analytical formula for the Coulomb part of the heavy ion potential. The results of these proximity versions have been compared with more accurate results obtained from the double-folding model (DFM). We have considered the interacting pair 48Ca + 238Pu as an example and assumed the presence of the quadrupole, octupole, and hexadecapole deformation parameters for 238Pu. The orientation angle dependence of the Coulomb barrier parameters has been computed for different sets of deformation parameters. We found that the proximity types named Prox77, BW Prox91, AW Prox95, Bass Prox77, and Bass Prox80 are the best ones of the available 14 versions of the proximity approaches for calculating the nuclear part of the interaction potential for a spherical–deformed pair of nuclei.

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