Collinear fast-beam laser spectroscopy has been used to measure the hyperfine splittings and the isotope shifts in the 4p 4d D7/2 4p 5p PS~2 (A, =729 nm) transition of singly ionized Kr. The measured isotope shifts are very large due to a large specific-mass effect that is caused by the strong momentum correlations of the 4d electron with the core electrons. Hartree-Fock and multiconfiguration Hartree-Fock (MCHF) calculations of the specific-mass shift were carried out and are compared to the measurements. The MCHF calculation yields excellent agreement with the experimental results. PACS number(s): 35.10.Fk, 32.30.Jc, 31.50.+w Core contributions Core-outer contributions Vinti integrals J (2p, 1$) -J' (2p71$) J (2p, 2s) -J' (2p, 2s) J (2p, 3s) -J' (2p, 3s) J (2p, 4s) -J' (2p, 4s) J (3p, ls) -J' (3p, ls) J (3p, 2s) -J' (3p, 2s) J (3p, 3$) -J' (3p, 3$) J (3p, 4$) -J' (3p, 4$) J (3d, 2p) -J' (3d, 2p) J'(3d 3p)-J'(3d 3p) J (4p, 1$) -J' (4p, 1$) J (4p, 2$) -J' (4p, 2s) J (4p, 3$) J (4p, 3$) J (4p, 4s) -J' (4p, 4s) J (3d, 4p) -J' (3d, 4p) -J'(sp, 1s) -J'(sp, 2s) -J' (5p, 3s) -J'(sp, 4s) -J (3d 5p) J (4d, 2p) J (4d, 3p) J (4d, 4p) Contribution