scholarly journals Optical potential parameters of light nuclear fusion based on precise Coulomb wave functions

2021 ◽  
pp. 122340
Author(s):  
Binbing Wu ◽  
Hao Duan ◽  
Jie Liu
Keyword(s):  
Optical Potential ◽  
Nuclear Fusion ◽  
Wave Functions ◽  
Potential Parameters

Relativistic particles with a nonpolynomial oscillator potential in a spacelike dislocation

2020 ◽  
Vol 35 (21) ◽  
pp. 2050108
Author(s):  
P. Sedaghatnia ◽  
H. Hassanabadi ◽  
G. J. Rampho
Keyword(s):  
Lie Algebra ◽  
Wave Functions ◽  
Oscillator Potential ◽  
Exactly Solvable ◽  
Potential Parameters ◽  
Relativistic Particles

We study the relativistic particles with a nonpolynomial oscillator potential in a spacelike dislocation and the solution of the system is obtained by using of quasi-exactly solvable method. The energy and wave functions of the system are described and the permissible values of the potential parameters are examined through the sl(2) Lie algebra.

Exact solutions of a quartic potential

2019 ◽  
Vol 34 (26) ◽  
pp. 1950208 ◽  
Author(s):  
Qian Dong ◽  
Guo-Hua Sun ◽  
M. Avila Aoki ◽  
Chang-Yuan Chen ◽  
Shi-Hai Dong
Keyword(s):  
Exact Solutions ◽  
Quantum System ◽  
Analytical Solutions ◽  
Wave Functions ◽  
Negative Potential ◽  
Potential Parameter ◽  
Real Numbers ◽  
Quartic Potential ◽  
Heun Functions ◽  
Potential Parameters

We find that the analytical solutions to quantum system with a quartic potential [Formula: see text] (arbitrary [Formula: see text] and [Formula: see text] are real numbers) are given by the triconfluent Heun functions [Formula: see text]. The properties of the wave functions, which are strongly relevant for the potential parameters [Formula: see text] and [Formula: see text], are illustrated. It is shown that the wave functions are shrunk to the origin for a given [Formula: see text] when the potential parameter [Formula: see text] increases, while the wave peak of wave functions is concaved to the origin when the negative potential parameter [Formula: see text] increases or parameter [Formula: see text] decreases for a given negative potential parameter [Formula: see text]. The minimum value of the double well case ([Formula: see text]) is given by [Formula: see text] at [Formula: see text].

EXACT SOLUTIONS OF THE SCHRÖDINGER EQUATION WITH SPHERICALLY SYMMETRIC OCTIC POTENTIAL

2012 ◽  
Vol 27 (20) ◽  
pp. 1250112 ◽  
Author(s):  
DAVIDS AGBOOLA ◽  
YAO-ZHONG ZHANG
Keyword(s):  
Schrödinger Equation ◽  
Exact Solutions ◽  
Closed Form ◽  
Schrodinger Equation ◽  
Wave Functions ◽  
Spherically Symmetric ◽  
Algebraic Equations ◽  
Potential Parameters

We present exact solutions of the Schrödinger equation with spherically symmetric octic potential. We give closed-form expressions for the energies and the wave functions as well as the allowed values of the potential parameters in terms of a set of algebraic equations.

Optical Potential Parameters of Weakly Bound Nuclear System 17 F+ 13 C

2008 ◽  
Vol 25 (12) ◽  
pp. 4237-4239 ◽  
Author(s):  
An Guang-Peng ◽  
Lin Cheng-Jian ◽  
Zhang Huan-Qiao ◽  
Liu Zu-Hua ◽  
Yang Feng ◽  
...  
Keyword(s):  
Optical Potential ◽  
Nuclear System ◽  
Weakly Bound ◽  
Potential Parameters

scholarly journals Towards an effective model for (d,p) and (d,n) nucleon-transfer reactions to bound states for FLUKA

2020 ◽  
Vol 239 ◽  
pp. 03006
Author(s):  
Francesc Salvat-Pujol ◽  
Alfredo Ferrari
Keyword(s):  
Bound States ◽  
Optical Potential ◽  
Radiation Transport ◽  
Residual Nucleus ◽  
General Purpose ◽  
Effective Model ◽  
Nucleon Transfer ◽  
Radial Schrödinger Equation ◽  
Direct Reactions ◽  
Potential Parameters

A general overview is presented of an effective model for the inclusion of (d,p) and (d,n) nucleon transfer direct reactions to bound states of the residual nucleus in the general-purpose radiation-transport code FLUKA. The model relies on the distorted-wave Born approximation, employing state-of-the-art subroutines for the numerical solution of the radial Schrödinger equation for the deuteron- and nucleon-nucleus wave-functions, as well as contemporary optical potential models for the latter two. A final variation of a handful of deuteron optical potential parameters provides the model with additional flexibility and enhances the agreement with experimental nucleon angular distributions in a considerable range of target nuclei and deuteron energies.

scholarly journals Modeling of circular quantum dots localized in double heterostructures

2021 ◽  
Vol 65 (1) ◽  
pp. 33-39
Author(s):  
V. V. Kudryashov ◽  
A. V. Baran
Keyword(s):  
Quantum Dots ◽  
Energy Spectrum ◽  
Energy Levels ◽  
Finite Depth ◽  
Wave Functions ◽  
Axially Symmetric ◽  
Confinement Potential ◽  
Double Heterostructures ◽  
New Type ◽  
Potential Parameters

The circular quantum dots localized in the double heterostructures are simulated by means of the axially symmetric smooth confinement potential of finite depth. For the proposed potential of new type, the exact wave functions and the energy levels of electron are found. The dependence of energy spectrum on potential parameters is investigated.

Elastic Scattering of 100 MeV Protons by 14N

1973 ◽  
Vol 51 (5) ◽  
pp. 592-594
Author(s):  
C. C. Chao ◽  
J. K. P. Lee
Keyword(s):  
Elastic Scattering ◽  
Optical Potential ◽  
Optical Model ◽  
Scattering Data ◽  
Potential Parameters ◽  
Mev Protons

The elastic scattering of 100 MeV protons from 14N has been studied and results were analyzed by the optical model. The optical potential parameters obtained were compared to those from the same reaction at different bombarding energies and also to those obtained from elastic scattering data of 100 MeV protons from other 1p shell nuclei.

Spectroscopic information of 6Li from elastic scattering of deuterons, 3He and 4He by 6Li

2014 ◽  
Vol 23 (08) ◽  
pp. 1450041
Author(s):  
A. Amar
Keyword(s):  
Elastic Scattering ◽  
Cross Sections ◽  
Optical Potential ◽  
Wide Energy Range ◽  
Spectroscopic Information ◽  
Wide Energy ◽  
Double Folding ◽  
Potential Parameters ◽  
Coupled Reaction ◽  
Good Agreement

The elastic scattering of deuterons, 3 He and 4 He on 6 Li at different incident energies have been analyzed in the framework of the optical model (OM) using ECIS88 as well as SPI GENOA codes. The optical potential parameters were extracted in the phenomenological treatment. A good agreement between theoretical and experimental differential cross-sections was obtained in whole angular range. Parameters for real part of potential have been also calculated microscopically with double-folding model for the d, 3 He and 4 He scattering, respectively, using DFPOT code. The elastic transfer mechanism has been studied by coupled reaction channel (CRC) method using FRESCO code. Spectroscopic amplitudes of 6 Li ≡ t + 3 He and 6 Li ≡ α + d configurations have been extracted from d, 3 He and 4 He scattering on 6 Li at wide energy range. A comparison between spectroscopic amplitudes obtained from deuteron and α elastically scattering from 6 Li has been made. The extracted spectroscopic amplitudes of 6 Li ≡ 4 He + d( SF = SA 2) from 6 Li (d, 6 Li )d and 6 Li (α, 6 Li )α are not the same as expected theoretically.

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