Calculation of the hyperfine structure constants in 43Ca+ and 87Sr+ -: art. no. 012506

A relativistic many-body calculation is performed for the low-lying states of the alkaline earth ions Ca-43(+) and Sr-87(+). The zeroth-order hyperfine structure constants are evaluated with Dirac-Fock wave functions, and the finite basis sets of the Dirac-Fock equation are constructed by B splines. With the finite basis sets, the core polarization and the correlation effect are calculated. The final results for Ca-43(+) are a(4S(1/2))=-805.3 MHz, a(4P(1/2))=-143.1 MHz, a(4P(3/2))=-30.5 MHz, b(4P(3/2))/Q=151.8 MHz b(-1), a(3D(3/2))=-47.8 MHz, b(3D(3/2))/Q=68.1 MHz b(-1), a(3D(5/2))=-3.6 MHz, and b(3D(5/2))/Q=100.2 MHz b(-1). The results for Sr-87(+) are a(5S(1/2))=-1003.2 MHz, a(5P(1/2))=-178.4 MHz, a(5P(3/2))=-35.1 MHz, b(5P(3/2))/Q=274.3 MHz b(-1), a(4D(3/2))=-47.4 MHz, b(4D(3/2))/Q=118.2 MHz b(-1), a(4D(5/2))=2.5 MHz, and b(4D(5/2))/Q=169.5 MHz b(-1).