in the dipole approximation: $$e^{i \mathbf{kr}} = 1 + i\,\mathbf{kr} + \ldots
    \label{eq.2.3.1}$$ where the first item is found to be mainly used correctly in further calculations of the matrix element;

-   The expansion by the spherical waves (in direction of papers [@Maydanyuk.nucl-th.0404013; @Maydanyuk.2006.EPJA; @Maydanyuk.2008.EPJA; @Maydanyuk.2008.MPLA; @Maydanyuk.2009.NPA]): $$e^{i \mathbf{kr}} =
        \displaystyle\sum_{l=0}^{+\infty}\,
        i^{l} (2l+1)\, P_{l}(\cos \theta_{\alpha\gamma}) \, j_{l}(kr),
    \label{eq.2.3.2}$$ where $\theta_{\alpha\gamma}$ is angle between vectors $\mathbf{k}$ and $\mathbf{r}$ ($\mathbf{kr} = kr\,\cos{\theta_{\alpha\gamma}}$);

-   The expansion by electric and magnetic multiples (see ref.[@Eisenberg.1973], (2.106) in p. 58): $$\mathbf{\xi}_{\mu}\, e^{i \mathbf{kr}} =
        \mu\, \sqrt{2\pi}\, \sum_{l, \nu}\,
        (2l+1)^{1/2}\, i^{l}\,  D_{\nu\mu}^{l} (\varphi,\theta,0) \cdot
        \Bigl[ \mathbf{A}_{l\nu} (\mathbf{r}, M) +
        i\mu\, \mathbf{A}_{l\nu} (\mathbf{r}, E) \Bigr],
    \label{eq.2.3.3}$$ where (see ref.[@Eisenberg.1973], (2.73) in p. 49, (2.80) in p. 51) $$\begin{array}{lcl}
      \mathbf{A}_{l\nu}(\mathbf{r}, M) & = &
            j_{l}(kr) \: \mathbf{T}_{ll,\nu} ({\mathbf n}_{ph}), \\
      \mathbf{A}_{l\nu}(\mathbf{r}, E) & = &
            \sqrt{\displaystyle\frac{l+1}{2l+1}}\,
            j_{l-1}(kr) \: \mathbf{T}_{ll-1,\nu}({\mathbf n}_{ph}) -
            \sqrt{\displaystyle\frac{l}{2l+1}}\,
            j_{l+1}(kr) \: \mathbf{T}_{ll+1,\nu}({\mathbf n}_{ph}).
    \end{array}
    \label{eq.2.3.4}$$

Here, $\mathbf{A}_{l\nu}(\textbf{r}, M)$ and $\mathbf{A}_{l\nu}(\textbf{r}, E)$ are *magnetic* and *electric multipoles*, $j_{l}(kr)$ are *spherical Bessel functions of order $l$*, $\mathbf{T}_{ll',\nu}(\mathbf{n})$ are *vector spherical harmonics*, $\theta_{1}$, $\theta_{2}$, $\theta_{3}$ are angles defining direction of vector $\mathbf{k}$ relatively axis $z$ in selected frame system.

In this paper, I shall use the multipole expansion assuming 