Relativistic coupled-cluster calculations on hyperfine structures and electromagnetic transition amplitudes of In iii

Hyperfine constants and anomalies of ground as well as a few low-lying excited states of ${}^{113,115,117}$In iii are studied with highly correlated relativistic coupled-cluster theory. The ground-state hyperfine splitting of ${}^{115}$In iii is estimated to be 106.8 GHz. A shift of almost 1.9 GHz of the above frequency has been calculated due to the modified nuclear dipole moment. This splitting result shows its applicability as communication band and frequency standards at ${10}^{-11}$ s. A correlation study of hyperfine constants indicates a few distinct features of many-body effects in the wave functions in and near the nuclear region of this ion. Astrophysically important forbidden transition amplitudes are estimated. The calculated oscillator strengths of a few allowed transitions are compared with recent experimental and theoretical results wherever available.

Figure 1

Comparison between $E$2 and $M$1 transition probabilities (${\mathrm{s}}^{-1}$) on a ${log}_{10}$ scale. The transitions between levels are presented along the $x$ axis and the transition probabilities are presented along the $y$ axis. The levels are identified as follows: 1, $5s{}^2{S}_{1/2}$; 2, $5p{}^2{P}_{1/2}$; 3, $5p{}^2{P}_{3/2}$; 4, $6s{}^2{S}_{1/2}$; 5, $5d{}^2{D}_{3/2}$; 6, $5d{}^2{D}_{5/2}$; 7, $6p{}^2{P}_{1/2}$; 8, $6p{}^2{P}_{3/2}$; and 9, $7s{}^2{S}_{1/2}$.

Figure 2

Percentage of the core-polarization and pair-correlation contributions to the constant $A$.

Figure 3

Percentage of correlation to the hyperfine constants $A$ and $B$.

Figure 4

Percentage of the core-polarization and pair-correlation contributions to the constant $B$.