Calculation Of Hyperfine Structure And Isotope Shifts On Alkali-like Systems

Studies of isotope shift and hyperfine structure for atoms have a long history and are very important in atomic and molecular physics. They are particularly useful in frequency standard applications. With the development and. demand of the ion trap and laser-cooled technologies together with other new technologies, people are devoting to studying the higher accurate frequency standards. ⁸⁷Sr⁺ is one of the ions which are used to study the new frequency standard applications. The hyperfine structure and isotope shift of ⁸⁷Sr⁺ must be calculated before the ⁸⁷Sr⁺ is used to develop a newly optical frequency standard in experiment. In this paper, we calculate the hyperfine structures and isotope shifts of ⁸⁷Sr⁺ in order to offer the theoretic results to the experiment.The effective-operator form of graphical many-body theory is applied to calculate the hyperfine structure in this paper. We construct the finite basis sets of Schrodinger's equation by using B-splines. With the finite basis sets, the correction of the core polarization, the effective potential and the correlation diagrams has been calculated. First, the hyperfine constants of the S1/2, P1/2,3/2 and D3/2,5/2 states of ⁷Li, ²³Na, ³⁹K, ⁴³Ca⁺ and ⁸⁷Rb are evaluated and compared with other works. Then, with the same method, the results of the D3/2, 5/2 states of ⁸⁷Sr⁺ are obtained.A simplified and modified multiconfigurational Hartree-Fock (MCHF) method is applied to calculate the isotope shifts on ^(87),(88)Sr⁺. We have calculated the isotope shifts of lower transitions on a series of alkali-like systems such as B²+, Ca⁺ and Ba⁺, which are reasonable compared with other works. And the isotope shifts of 5S1/2--4D3/2,5/2 transitions of ⁸⁷,(88)Sr⁺, which are useful to study the odd-isotope Sr⁺ optical frequency standard, are evaluated.