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

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

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.

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].

Deuteron wave function for Reid93 potential and polarization observables in elastic lepton–deuteron scattering

The elastic lepton–deuteron scattering was considered within the limits of zero lepton mass. The deuteron wave function in the coordinate representation for Reid93 potential was applied to numerical calculations. The angular-momentum dependence of values of the spin correlation coefficients [Formula: see text], [Formula: see text] and tensor asymmetries [Formula: see text], [Formula: see text], [Formula: see text] were evaluated in 3D format for Reid93 potential. These polarization observables are analyzed at different energies and scattering angles. The influence of the choice of the potential model and their nodes on the calculations of the polarization observables at a fixed scattering angle was taken into account. The application of the obtained values allows better explanation and illustration of the laws for the elastic lepton–deuteron scattering.

Analytical forms of the deuteron wave function for Nijmegen group potentials and polarization characteristics of A(d,d′)X reactions

Polarization observables of the [Formula: see text] reactions have been calculated according to the received coefficients of the analytical form for deuteron wave function (DWF) in coordinate space for the nucleon–nucleon Nijmegen group potentials (NijmI, NijmII and Nijm93). The obtained values of tensor [Formula: see text] and vector [Formula: see text] analyzing powers have been compared with the published experimental data at [Formula: see text]-scaling for the inelastic scattering of deuterons on hydrogen, carbon and beryllium. Theoretical values of tensor–tensor [Formula: see text] and vector–vector [Formula: see text] polarization transfers have also been evaluated in the plane-wave impulse approximation.