Core polarisation corrections to dipole transitions for one valence electron systems in the quantum-defect approximation

Ab initiocalculations of transition amplitudes and hyperfineAandBconstants of Ga iii

“…The Gaunt contributions to all the E1 transitions, except 4s However, all these dipole operator forms produced the same results for Ga III. The E1 transition amplitudes are calculated from these oscillator strengths and the transition energies as proposed there [11]. Similarly, the calculated oscillator strengths and compiled transition energies by Curtis…”

“…Recently, evidences of the presence of Ga III have been reported in the ultraviolet spectra of the Sdb stars, SdOB stars, magnetic Si stars, He-weak stars, hot HgMn stars and several other astronomical systems [4][5][6][7]. However, very few theoretical calculations associated with the allowed transition, i.e., E1 transition lines of this element are available in the literature [8][9][10][11]. This ion is also important as an impurity concentration indicator in hot plasmas [8].…”

“…In the last three decade, in a number of approaches, theoretical calculations have been carried out to determine oscillator strengths (f ) of E1 transitions between very few low-lying states of Ga III as a member of the Cu isoelectronic sequence [8,9,11]. Curtis and Theodosiou calculated the lifetimes of few low-lying states and the f values between them using the Coulomb approximated Hatree-Slater core potential approach [8].…”

“…Migdalek and Baylis studied the core polarization effects by including it in a relativistic Hartree-Fock method as well as in a relativistic semi-empirical model potential approach to calculate the f values [9]. The quantum defect theory was used by Owono Owono et al to produce the transition matrix elements of the electric dipole operator in the calculations of the corresponding strengths [11]. Relativistic third-order many-body perturbation theory was applied by Chou and Johnson to find the E1 transition amplitudes of the principle transitions of this element [10].…”

Blackbody radiation shift of the Ga+clock transition

“…The BBR shift for the 4s 2 1 S e 0 → 4s4p 3 P o 0 clock transition has been determined to be −0.0140(62) Hz. The (43) Exp. [13] 0.0077 Ga + CICP 1.63(72) −0.0140(62) MCDF [33] 0.053 In + CI+MBPT [15] 2.01 (20) −0.0173(17) Exp.…”