Semi-empirical determination of the nuclear quadrupole moment of $$^{109}$$Sn

The nuclear quadrupole moment (Q) of $$^{109}$$ 109 Sn was determined by means of hyperfine structure (hfs) many-body parametrization method. The hyperfine structure splittings for isotopes $$^{117-131}$$ 117 - 131 Sn recently measured by Yordanov et al. (Commun Phys 3:1, 2020) were used in multiconfiguration semi-empirical calculations. The contributions from the second-order perturbation theory to the magnetic dipole hyperfine structure, concerning electrostatically correlated hyperfine interactions, were taken into consideration for even and odd configurations simultaneously. Contributions from the second-order perturbation theory to the electric quadrupole hyperfine structure, concerning spin–orbit correlated hyperfine interactions, were included for the first time.

Nuclear quadrupole moment and effects of nucleus–nucleus scattering potential

This paper presents the results of the nuclear electrical quadrupole moment of the 17O and 2H before and after their scattering interaction near the Coulomb barrier. The distribution of nuclei’s charge (the quadrupole moment of nuclei) was examined for 2H and 17O when interacting together. The interaction potential between the nuclei was achieved using the double-folding model. Also, the wave functions of the interacting nuclei were replaced with the density functions. The wave functions of the interacting nuclei were obtained through the D-dimensional Schrödinger equation with the pseudo-Coulomb potential plus ring-shaped potential and Yukawa potential by the Nikiforov–Uvarov solution method.