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Journal of Physical Studies 21(4), Article 4101 [14 pages] (2017)
DOI: https://doi.org/10.30970/jps.21.4101 ANALYTICAL FORMS OF THE WAVE FUNCTION AND THE ASYMMETRY OF THE POLARIZATION CHARACTERISTICS OF THE DEUTERONV. I. Zhaba
Uzhgorod National University, Department of Theoretical
Physics, |
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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 $A_{i}\exp(-a_{i}r^{3})$ 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 $ t_{10}$, $t_{11}$ and tensor $ t_{20}$, $t_{21}$, $t_{22}$ polarizations are described. Along with the angular asymmetry, the momentum asymmetry for deuteron vector $t_{1i}$ polarizations is described too. The influence of DWF approximation in a coordinate representation on the subsequent results of the calculations of the tensor polarization $t_{20}$ is investigated. A comparison of values $t_{20}$ is made at $\theta =70^\circ$ if to apply four different DWF approximations to the same NN-potential Reid93. When the received theoretical values $t_{20}$ are compared with the experimental data of world collaborations and reviews, a good coordination for the area of values momentum $p=1-4$\,fm$^{-1}$ is observed. Using the method of invariant amplitude, spin observables in backward elastic \textit{dp}-scattering-tensor analyzing power $T_{20}$ and polarization transfer \textit{$\kappa $}$_{0}$ have been calculated. The values of {$\kappa $}$_{0}$ and correlation $\kappa_{0}-T_{20}$ are compared with experimental data. In a wide range of momentums $p$ and scattering angles $\theta $, the asymmetry for the tensor analyzing power $T_{20}$ and $T_{22}$ has been presented, which characterizes the photoproduction of negative $\pi$-meson from deuteron in reaction $\gamma (d,\pi ^{-})pp$. A symmetry of values $T_{20}$ and $T_{22}$ concerning a $90^\circ$ angle is observed. The ratio $R$ for the vector $P_{x}$ and tensor $P_{xz}$ polarizations is characterized by angular asymmetry. So, along with the ``$A_{y}$ puzzle'', it is reasonable to carry out further theoretical and experimental research into other polarization characteristics of the processes with deutron participation, for which there is both angular and momentum asymmetry. The obtained results of the deuteron vector and tensor polarizations $t_{ij}(p)$ give some information about the electromagnetic structure of the deuteron and the differential cross section of double scattering.
PACS number(s): 13.40.Gp, 13.88.+e, 21.45.Bc, 03.65.Nk