Asymptotic of the electric structure function and the deuteron wave function

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].

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

Modern Physics Letters A ◽

10.1142/s0217732321500851 ◽

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.

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MATTER-DENSITY DISTRIBUTION IN DEUTERON AND DIFFRACTION DEUTERON-NUCLEUS INTERACTION

International Journal of Modern Physics E ◽

10.1142/s0218301305003697 ◽

2005 ◽

Vol 14 (07) ◽

pp. 1073-1085 ◽

Cited By ~ 5

Author(s):

YU. A. BEREZHNOY ◽

V. YU. KORDA ◽

A. G. GAKH

Keyword(s):

Experimental Data ◽

Wave Function ◽

Asymptotic Behavior ◽

Cross Section ◽

Cross Sections ◽

Deuteron Wave Function ◽

Form Factors ◽

Matter Density ◽

Nucleus Interaction ◽

Nucleus Scattering

We obtained a nonrelativistic deuteron wave function that accounts for the D-state and has correct asymptotic behavior. This was achieved on the basis of the experimentally measured charge and quadrupole deuteron form factors. The differential cross section of the elastic deuteron-nucleus scattering has been calculated by using this wave function. These predictions agree with the experimental data at the energy of 110 MeV. The integrated cross sections of the various processes involving the deuteron-nucleus interactions were also calculated.

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

Revista Mexicana de Física ◽

10.31349/revmexfis.67.137 ◽

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.

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