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Journal of Physical Studies 20(3), Article 3101 [10 pages] (2016)
DOI: https://doi.org/10.30970/jps.20.3101 ANALYTICAL FORMS OF THE WAVE FUNCTION IN COORDINATE SPACE AND TENSOR POLARIZATION OF THE DEUTERON FOR POTENTIALS NIJMEGEN GROUPV. I. Zhaba
Uzhgorod National University, Department of Theoretical
Physics, |
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The coefficients of the four approximating dependencies for the numerical values of the deuteron wave function in the coordinate representation for realistic phenomenological potentials Nijmegen group (NijmI, NijmII, Reid93 and Nijm93)have been numerically calculated. The analytical forms are chosen as the product of the power function $r^{n}$ for the sum of exponential terms. The behavior of the value $\chi ^{2}$ depending on the number of expansion terms $N_{i}$ has been studied. With the account of the minimum values of $\chi ^{2}$ for these forms we have built DWFs in coordinate space, which do not contain superfluous knots. The calculated parameters of the deuteron are in good agreement with theoretical and experimental results. For deuteron wave functions in coordinate and momentum representation the following polarization characteristics were calculated: tensor polarization $t_{20}$(p), $t_{21}$(p) $t_{22}$(p) in the range of 0-7 pulse fm$^{ - 1}$. The value of $t_{20}$(p) for potentials Nijmegen group are in good agreement with literature results for other potential nucleon-nucleonic of models and with experimental data. The impact of the accuracy of $\chi ^{2}$ approximation for the deuteron wave function on the calculation of tensor polarization $t_{20}$(p) at a scattering angle of $\theta $=70$^{\circ}$ for Reid93 potential hes been revealed. The results of the deuteron tensor polarization $t_{ij}$(p) give some information about the electromagnetic structure of the deuteron. At the known tensor analyzing power it is possible to calculate the differential cross-section of double scattering.
PACS number(s): 13.40.Gp, 13.88.+e, 21.45.Bc, 03.65.Nk