Magnetic dipole excitations of the $^{163}$Dy nucleus*

In this study some properties of the magnetic dipole excitations of the deformed odd mass $^{163}$Dy nucleus were studied by using Quasiparticle-phonon nuclear model (QPNM). The several of the ground-state and low-lying magnetic dipole (M1) mode characteristics were calculated for deformed odd-mass nuclei using a separable Hamiltonian within the QPNM. The M1 excited states, reduced transition probabilities B(M1), the ground-state magnetic properties such as magnetic moment ($\mu$), intrinsic magnetic moment (g$_{\mathrm{K}})$, effective spin factor (g$_{\mathrm{s}}^{\mathrm{eff.}})$ are the fundamental characteristics of the odd-mass nucleus and provide key information to understand nuclear structure. The theoretical results were compared with the available experimental data and other theoretical approaches. Calculations show that the spin-spin interaction in this isotopes leads to polarization effect influencing the magnetic moments. Furthermore we found a strong fragmentation of the M1 strength in $^{163}$Dy nucleus which was in qualitative agreement with the experimental data.