Solution of Faddeev-type equations in the problem of two coulomb centers

The hyperfine structure of the 7p ² P _1/2,3/2 levels of¹¹⁵In and the 5p ² P _1/2 level of²⁷Al has been measured using high-resolution laser spectroscopy on atomic beams. For the magnetic-dipole and electric-quadrupole interaction constants,a andb, the following values were obtained;a(7p ² P _1/2)=90.7(10) MHz,a(7p ² P _3/2)=32.3(2) MHz andb(7p ² P _3/2)=24.5(1.5) MHz for¹¹⁵In anda(5p ² P _1/2)=20(2) MHz for²⁷Al. Many-body calculations on² P states in aluminum, gallium and indium have also been performed.