The investigation of dipole excitations in double-even $^{184}$W nuclei at the spectroscopic energy region

The dipole excitations of double-even nucleus $^{184}$W are studied using the QRPA model with rotational, translational and Galilean invariant Hamilonian. This approach not only gives opportunity to test for the validity of the present theory and it also allows for the interpretation of the experimentally spin unknown states. The analysis of calculation shows that M1 strength, mainly an orbital character predicted from calculations of orbit-to-spin ratio, has a relative contribution, rougly 63 {\%} with summed M1 widths $\Sigma \Gamma_{\mbox{0}}^{red} \left( {M1} \right)=5.3\mbox{\thinspace meV}$between 2\textless $\omega_{i} $\textless 3.7 MeV, to summed ground-state decay widths of dipole mode. The experimental summed widths in the same energy interval is $\Sigma \Gamma _{\mbox{o}}^{red} \left( {\exp .} \right)=$ 4.73 $\pm$1.28 meV. On the other hand, several well pronounced electric dipole K$=$1 excitation in spectroscopic region where mainly fulled with M1 dipole states is predicted. The total E1 widths with K$=$1 is $\Sigma \Gamma_{\mbox{0}}^{red} \left( {E1} \right)=2.62\mbox{\thinspace meV}$(30{\%} of the summed widths), quite close to the experimental value with K$=$0 $\Sigma \Gamma_{\mbox{o}}^{red} \left( {\exp .} \right)=$ 2.09 $\pm$ 0.59 meV. The theory also indicates a few positive ($\Sigma \Gamma_{\mbox{0}}^{red} \left( {M1} \right)=0.24\mbox{\thinspace meV})$ and negative parity $\Sigma \Gamma _{\mbox{0}}^{red} \left( {E1} \right)=0.34\mbox{\thinspace meV}$ with K $=$ 0 states with summed widths, respectively.