scholarly journals NEUTRON STRENGTH FUNCTIONS. BASED ON AN OPTICAL MODEL OF THE NUCLEUS CONSISTING OF A SPHERICAL COMPLEX POTENTIAL WELL WITH DIFFUSE SURFACE AND SPIN-ORBIT FORCE

1961 ◽  
Author(s):  
P.A. Moldauer
Keyword(s):  
Complex Potential ◽  
Optical Model ◽  
Spin Orbit ◽  
Potential Well ◽  
Spherical Complex ◽  
Diffuse Surface ◽  
Strength Functions

scholarly journals The WKB Method for a Complex Potential

1957 ◽  
Vol 10 (1) ◽  
pp. 110 ◽  
Author(s):  
CBO Mohr
Keyword(s):  
Complex Potential ◽  
Optical Model ◽  
Phase Shifts ◽  
Potential Well ◽  
Wkb Method ◽  
Complex Phase ◽  
Factors Affecting ◽  
Low Energies ◽  
Exact Calculations

The extension of the WKB method to a complex potential, as used in the optical "model of the nucleus, is discussed. The formula for the complex phase shifts is formally deduced, and its accuracy tested against exact calculations for a square potential well and a well with sloping sides. At low energies there occur large discrepancies; the WKB phases vary regularly with energy, whereas the exact values oscillate violently about the WKB values in a characteristic way and marked resonances occur. The factors affecting the accuracy of the method are discussed.

Microscopic spin-orbit potential for p +6He elastic scattering

2019 ◽  
Vol 28 (09) ◽  
pp. 1950074
Author(s):  
Zakaria M. M. Mahmoud ◽  
Awad A. Ibraheem ◽  
M. A. Hassanain
Keyword(s):  
Experimental Data ◽  
Elastic Scattering ◽  
Cross Sections ◽  
Optical Model ◽  
Spin Orbit ◽  
Current Form ◽  
Density Distributions ◽  
Orbit Potential ◽  
Scattering Cross Sections ◽  
Good Agreement

In this work, we simultaneously reanalyzed the differential elastic scattering cross-sections ([Formula: see text]) and the vector analyzing power ([Formula: see text]) of [Formula: see text]He elastic scattering. This analysis was performed using the folded optical model for both real central and spin-orbit (SO) potentials, respectively. For the imaginary central, we used the usual Woods-Saxon (WS) form. Three different model density distributions are used to calculate the potential. We aimed to examine the applicability of the microscopically derived SO potential and the structure effect of 6He nucleus. The presence of the [Formula: see text] experimental data of [Formula: see text]He makes it interesting for this study. Our calculations showed that the three densities gave similar predictions for the cross-sections data. The three microscopic SO potentials calculations of [Formula: see text] are not in a good agreement with the experimental data. We concluded that the SO formalism in its current form needs more investigations for exotic halo nuclei.

Spin-Orbit Interactions in Semiconductor Quantum Ring in the Presence of Magnetic Field

2019 ◽  
Vol 18 (03n04) ◽  
pp. 1940016
Author(s):  
A. V. Baran ◽  
V. V. Kudryashov
Keyword(s):  
Magnetic Field ◽  
Perturbation Theory ◽  
Constant Magnetic Field ◽  
Energy Levels ◽  
Finite Depth ◽  
Quantum Ring ◽  
Spin Orbit ◽  
Potential Well ◽  
Realistic Potential ◽  
Spin Orbit Interactions

Energy levels of electrons in the semiconductor circular quantum ring are obtained within the framework of perturbation theory in the presence of the Rashba and Dresselhaus spin-orbit interactions and external uniform constant magnetic field. The confinement effect is simulated by the realistic potential well of a finite depth.

Diffuse-Surface Optical Model Analysis of Elastic Scattering of 17- and 31.5-Mev Protons

1957 ◽  
Vol 106 (4) ◽  
pp. 793-801 ◽  
Author(s):  
Michel A. Melkanoff ◽  
John S. Nodvik ◽  
David S. Saxon ◽  
Roger D. Woods
Keyword(s):  
Elastic Scattering ◽  
Optical Model ◽  
Model Analysis ◽  
Surface Optical ◽  
Diffuse Surface ◽  
Optical Model Analysis ◽  
Mev Protons

Using a quadrupole deformed generalized Woods–Saxon plus spin-orbit potential to describe the polarized interaction 7Li→ +12C at 34MeV

2018 ◽  
Vol 27 (10) ◽  
pp. 1850081
Author(s):  
G. A. Alcalá ◽  
J. A. Liendo
Keyword(s):  
Optical Model ◽  
Elastic Interaction ◽  
Electric Quadrupole ◽  
Model Potential ◽  
Inelastic Interaction ◽  
Spin Orbit ◽  
Rotational Model ◽  
Analyzing Powers ◽  
Optical Model Potential ◽  
Coupled Channel

An overall description of the cross-sections and tensor analyzing powers corresponding to the elastic interaction [Formula: see text] at [Formula: see text] has been obtained with a coupled channel analysis using the rotational model. Based on the high electric quadrupole moment of the [Formula: see text] projectile, an optical model potential equal to the sum of a quadrupole deformed generalized Woods–Saxon potential and a standard Spin-Orbit term has been used. The deformed part of the potential induces reorientations and transitions that involve the first four energy states of the [Formula: see text] nucleus. These states are supposed to belong to an inverted [Formula: see text][Formula: see text][Formula: see text] rotational band proposed in the literature. Partial reproductions of the inelastic interaction [Formula: see text] have also been achieved by using the same deformed potential with the same parameter values that describe the elastic interaction. Comparisons are made with previous results obtained from optical model potential and continuum-discretized coupled-channel calculations using the cluster-folding model. The use of a deformed scattering potential introduces a tensor term that allows the reproduction of the tensor analyzing powers.

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