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

Abstract

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.

Hyperfine structure studies of neutral praseodymium with Fourier transform spectroscopy

“…The study of atomic hyperfine structure (HFS) is of great significance in atomic physics, nuclear physics and astrophysics. Based on the atomic HFS, one can obtain the electronic properties of atoms, and the information of the nuclear structure, and more accurately determine the element abundances in stars [1][2][3][4], etc. Especially, in astrophysics the HFS has a large impact on both the abundance and stellar rotation velocity measurements [5], and the abundances without considering the HFS splitting may be inaccurate [6].…”