New analytical forms of wave function in coordinate space and tensor polarization of deuteron

Numerically coefficients of the new analytical forms for deuteron wave function in coordinate space for NijmI, NijmII, Nijm93, Reid93 and Argonne v18 potentials are designed. The obtained wave functions do not contain superfluous knots. The designed parameters of a deuteron well agree with the experimental and theoretical data. The tensor polarization t20 designed on wave functions is proportionate to earlier published outcomes.Comment: 9 pages, 4 figures, 6 table

Deuteron: properties and analytical forms of wave function in coordinate space

Static parameters of the deuteron, obtained by the wave functions for various potential models, have been chronologically systematized. The presence or absence of knots near the origin of coordinates for the radial wave function of the deuteron have been shown. Analytical forms for the deuteron wave function in coordinate space have been reviewed. Both analytical forms and parameterizations of the deuteron wave function, which are necessary for further calculations of the characteristics of the processes involving the deuteron, have been provided. In addition, the asymptotic behaviors of deuteron wave function near the origin of coordinates and for large values of distance have been analyzed in the paper. Minimization of the number of numerically calculated coefficients for new analytical forms as a product of exponential function r^n by the sum of the exponential terms Ai*exp(-ai*r^3) have been done. The optimum is N=7-10.Comment: 43 pages, 5 figures, 12 table

The vector and tensor asymmetries and deuteron wave function for different nucleon-nucleon potentials

Within the framework of the study of radiative corrections to the polarization observed in elastic $ed$-scattering in leptonic variables have been calculated the Born values of vector AB^L, AB^T and tensor AB^LL, AB^TT, AB^LT asymmetries. The deuteron wave functions in coordinate representation for eight nucleon-nucleon potentials (Nijm1, Nijm2, Nijm93, Reid93, Argonne v18, OBEPC, MT and Paris) have been used for numerical calculations of vector AB^i(p,teta) and tensor AB^ij(p,teta) asymmetries. The angular-momentum dependence of values vector and tensor asymmetries have been also evaluated in 3D format for Reid93 potentials.Comment: 12 pages, 10 figure

New parametrization of the deuteron wave function and calculations of the tensor polarization

The coefficients of new analytical forms for the deuteron wave function in coordinate space for NijmI, NijmII, Nijm93, Reid93 and Argonne v18 potentials have been numerically calculated. The obtained wave functions do not contain any superfluous knots. The designed parameters of the deuteron are in good agreement with the experimental and theoretical data. The new parameterization of the deuteron wave function in momentum space is obtained. The tensor polarization t20 calculated based on the wave functions is proportionate to the earlier published results.Comment: 13 pages, 4 figure

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

Polarization observables of the A(d,d')X reactions have been calculated according to the received coeffcients of the analytical form for deuteron wave function in coordinate space for the nucleon-nucleon Nijmegen group potentials (NijmI, NijmII, Nijm93). The obtained values of tensor Ayy and vector Ay analyzing powers have been compared with the published experimental data at t- scaling for the inelastic scattering of deuterons on hydrogen, carbon and beryllium. Theoretical values of tensor-tensor Kyy and vector-vector Ky polarization transfers have been also evaluated in the plane-wave impulse approximation.Comment: 14 pages, 7 figure

Approximation of scattering phases for Reid93 potential

For a single-channel nucleon-nucleon scattering, a well-known and convenient variable phase approach is considered, which is widely used for practical problems of atomic and nuclear physics. Approximation of the $pp$- and $np$- scattering phases obtained for the modern realistic phenomenological nucleon-nucleon potential Reid93 was carried out. The approximation function is used as a well-known formula for a parabolic-type quadratic function.Comment: 9 pages, 3 figures, 2 table

Analytical forms of the wave function and the asymmetry for polarization characteristics of the deuteron

The basic analytical forms of the deuteron wave function (DWF) in a coordinate representation have been reviewed. The asymptotic behaviour of DWF near the origin of coordinates has been analyzed. New analytical forms of DWF as a product of the exponential function r^n and the sum of the exponential terms Ai*exp(-ai*r3) are applied for the calculation of the polarization characteristics of the deuteron. Numerical calculations have been done for realistic phenomenological potential of Nijmegen groups, Reid93. In the paper, the results of the angular asymmetry for deuteron vector t10, t11 and tensor t20, t21, t22 polarizations are described. Along with the angular asymmetry, the momentum asymmetry for deuteron vector t1i polarizations is described too. The influence of DWF approximation in a coordinate representation on the subsequent results of the calculations of the tensor polarization t20 is investigated. A comparison of values t20 is made at 70 degree if to apply four different DWF approximations to the same NN-potential Reid93. When the received theoretical values t20 are compared with the experimental data of world collaborations and reviews, a good coordination for the area of values momentum p=1-4fm-1 is observed. Using the method of invariant amplitude, spin observables in backward elastic dp-scattering-tensor analyzing power T20 and polarization transfer K0 have been calculated. The values of K0 and correlation K0-T20 are compared with experimental data. In a wide range of momentums p and scattering angles, the asymmetry for the tensor analyzing power T20 and T22 has been presented, which characterizes the photoproduction of negative pi- meson from deuteron in reaction g(d, pi-)pp. A symmetry of values T20 and T22 concerning a 90 angle is observed. The ratio R for the vector Px and tensor Pxz polarizations is characterized by angular asymmetry....Comment: 24 pages, in Ukrainian, 17 figure

Calculation of phases of np- scattering up to Tlab=3 GeV for potentials Argonne group on the phase-function method

For calculation of the single-channel nucleon-nucleon scattering a phase-functions method has been proposed. Using a phase-functions method the following phase shifts of a np- scattering numerically for 1S0-, 1P1-, 3P0-, 3P1-, 1D2-, 3D2-, 1F3-, 3F3-, 1G4-, 3G4- states are calculated. The calculations has been performed using realistic nucleon-nucleon potentials Argonne group (Av18, Av14sscc, Av8', Av8'sscc, Av6', Av4', Av2'). Obtained phase shifts are in good agreement with the results obtained in the framework of other methods. Using the obtained phase shifts we have calculated the full cross-section np- scattering.Comment: in Ukrainia

Asymptotics of phase and wave functions

For single and twochannel nucleon-nucleon scattering the asymptotic form of the phase function for r->0 were taken into account for the asymptotic behavior of the wave function. Asymptotics of the wave function will not r^(l+1), and will have a more complex view and be also determined by the behavior of the potential near the origin. Have examined the cases for nonsingular (weakly singular) and strongly singular potentials. Were the numerical calculations of phase, amplitude and wave functions for the nucleon-nucleon potential Argonne v18. Considered 1S0-, 3P0-, 3P1- states of the np- system.Comment: 6 pages, in Ukrainian, 3 figures, 1 tabl

Asymptotic of the electric structure function and the deuteron wave function

The main features of obtaining the asymptotic behaviour of the electric structure function A(p) at large values of the transmitted momentum are analysed. The asymptotic behaviour of the structure function A(p) was determined to take into account the asymptotic behaviour of the deuteron form factors and the original dipole approximation for the nucleon form factors. Asymptotic values of A(p) were obtained for the nucleon-nucleon potential Reid93 and compared with the calculations for different nucleon form factors models and their approximations. In the broad momentum range up to 12.5 fm^(-1), the basic forms of the asymptotic behaviour 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 A(p) is represented in the form of the power function p^(-n).Comment: 12 pages, 3 figure