Asymptotic of the deuteron wave function in the coordinate representation and the charge deuteron form factor at large momentums

2021 ◽  
pp. 2150085
Author(s):  
V. I. Zhaba
Keyword(s):  
Wave Function ◽  
Form Factor ◽  
Deuteron Wave Function ◽  
Radial Wave Function ◽  
Nucleon Nucleon ◽  
Radial Wave ◽  
Nucleon Potential ◽  
Coordinate Representation ◽  
Deuteron Form Factor ◽  
The Difference

Numerical modeling of the deuteron wave function in the coordinate representation for the phenomenological nucleon–nucleon potential Argonne v18 has been performed. For this purpose, the asymptotic behavior of the radial wave function has been taken into account near the origin of coordinates and at infinity. The charge deuteron form factor [Formula: see text], depending on the transmitted momentums up to [Formula: see text], has been calculated employing five models for the deuteron wave function. A characteristic difference in calculations of [Formula: see text] is observed near the positions of the first and second zero. The difference between the obtained values for [Formula: see text] form factor has been analyzed using the values of the ratios and differences for the results. Obtained outcomes for charge deuteron form factor at large momentums may be a prediction for future experimental data.

Modeling of the deuteron wave function in coordinate representation and calculations of polarization characteristics

2021 ◽  
Vol 67 (1 Jan-Feb) ◽  
pp. 137
Author(s):  
V. I. Zhaba
Keyword(s):  
Wave Function ◽  
Deuteron Wave Function ◽  
Radial Wave Function ◽  
Nucleon Nucleon ◽  
Radial Wave ◽  
Nucleon Potential ◽  
Coordinate Representation ◽  
General Behavior ◽  
Polarization Characteristics ◽  
Analyzing Power

Modeling of the deuteron wave function in coordinate representation for the nucleon-nucleon potential Reid93 were performed. For this purpose, the asymptotics of the radial wave function near the origin of coordinates and at infinity are taken into account. The most simple and physical asymptotics were applied. In this case, the superfluous knots of both components of the deuteron wave function for the coordinate value r=0.301 fm were compensated. Taking into account the asymptotics of the wave function has little effect on the general behavior of the calculated polarization characteristics of t20 and Ауу. Particular points of the transmitted momentum have been identified, where the tensor deuteron polarization t20 and the tensor analyzing power Ауу show a clear difference.

scholarly journals STUDY OF THE η-7Be INTERACTION NEAR THRESHOLD IN p-6Li FUSION

2009 ◽  
Vol 18 (05n06) ◽  
pp. 1383-1388
Author(s):  
N. J. UPADHYAY ◽  
N. G. KELKAR ◽  
K. P. KHEMCHANDANI ◽  
B. K. JAIN
Keyword(s):  
Wave Function ◽  
Final State Interaction ◽  
Radial Wave Function ◽  
State Interaction ◽  
Nuclear Medium ◽  
Final State ◽  
Radial Wave ◽  
Near Threshold

We present a calculation for η production in the p-6Li fusion near threshold including the η-7Be final state interaction (FSI). We consider the 6Li and 7Be nuclei as α-d and α-3He clusters respectively. The calculations are done for the lowest states of 7 Be with [Formula: see text] resulting from the L = 1 radial wave function. The η-7Be interaction is incorporated through the η-7BeT–matrix, constructed from the medium modified matrices for the η-3He and η-α systems. These medium modified matrices are obtained by solving few body equations, where the scattering in nuclear medium is taken into account.

scholarly journals Asymptotic of the electric structure function and the deuteron wave function

2020 ◽  
Vol 35 (16) ◽  
pp. 2050134
Author(s):  
V. I. Zhaba
Keyword(s):  
Asymptotic Behavior ◽  
Structure Function ◽  
Deuteron Wave Function ◽  
Form Factors ◽  
Nucleon Form Factor ◽  
Nucleon Nucleon ◽  
Dipole Approximation ◽  
Momentum Range ◽  
Nucleon Potential ◽  
Electric Structure

The main features of obtaining the asymptotic behavior of the electric structure function [Formula: see text] at large values of the transmitted momentum are analyzed. The asymptotic behavior of the structure function [Formula: see text] was determined to take into account the asymptotic behavior of the deuteron form factors and the original dipole approximation for the nucleon form factors. Asymptotic values of [Formula: see text] were obtained for the nucleon–nucleon potential Reid93 and compared with the calculations for different nucleon form factor models and their approximations. In the broad momentum range up to 12.5 fm[Formula: see text], the basic forms of the asymptotic behavior of the electric structure function are demonstrated and compared with the experimental data of the modern collaborations. As the analysis shows in most cases considered, the asymptotic for [Formula: see text] is represented in the form of the power function [Formula: see text].

M-SCHEME CLUSTER-ORBITAL SHELL MODEL APPROACH FOR NEUTRON-RICH SYSTEMS

2009 ◽  
Vol 24 (11n13) ◽  
pp. 1009-1012
Author(s):  
HIROSHI MASUI ◽  
KIYOSHI KATŌ ◽  
KIYOMI IKEDA
Keyword(s):  
Wave Function ◽  
Shell Model ◽  
Oxygen Isotopes ◽  
Radial Wave Function ◽  
Radial Wave ◽  
Gaussian Functions ◽  
Model Formalism ◽  
Model Approach

We developed an m-scheme approach of the cluster-orbital shell model formalism. The radial wave function is treated as the super position of the Gaussian functions with different width parameters. Energies and r.m.s. radii of oxygen isotopes are studied.

Atomic wave functions for gold and thallium

1955 ◽  
Vol 51 (3) ◽  
pp. 486-503 ◽  
Author(s):  
A. S. Douglas ◽  
D. R. Hartree ◽  
W. A. Runciman
Keyword(s):  
Wave Function ◽  
Absorption Edge ◽  
Radial Wave Function ◽  
Wave Functions ◽  
Radial Wave ◽  
Consistent Field ◽  
Self Consistent ◽  
Self Consistent Field ◽  
Independent Variable ◽  
Independent Calculation

Before the war, self-consistent field calculations for the Au+ ion had been carried out by W. Hartree but were left still unpublished at his death (see prefatory note in (5)). These results have been used by Brenner and Brown (1) in a relativistic calculation of the K-absorption edge for gold, and they were also used in obtaining initial estimates for the partial self-consistent field calculations for thallium of which results are given in §§3–5 of the present paper. In the meantime an independent calculation for Au+ has been carried out by Henry (6), and his results agree closely with those of W. Hartree. However, it still seems desirable to publish the latter, since they give directly the radial wave function P(nl; r) at exact values of r, whereas Henry used log r as independent variable, as had been done for similar calculations for Hg(4), and has tabulated r½P(nl; r) which is the natural dependent variable to use with log r as independent variable (2); in some applications it is more convenient to have the radial wave functions themselves.

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