Isotope shift measurements in the 2s(1/2) -> 2p(3/2) transition of Be+ and extraction of the nuclear charge radii for Be-7,Be-10,Be-11

We have performed isotope shift measurements in the 2s(1/2) -> 2p(3/2) transition of Be+ ions using advanced collinear laser spectroscopy with two counter-propagating laser beams. Measurements involving a frequency comb for laser stabilization and absolute frequency determination allowed us to determine the isotope shifts with an accuracy of 2 MHz. From the isotope shifts between Be-9 and Be-7,Be-10,Be-11, high-accuracy mass shift calculations and the charge radius of the reference isotope Be-9 we determined nuclear charge radii for the isotopes Be-7,Be-10 and the one-neutron halo nucleus Be-11. The results are compared to nuclear-structure calculations using the fermionic molecular dynamics model which reproduce well the general trend of the radii. Decreasing charge radii from Be-7 to Be-10 are explained by the cluster structure of the nuclei. The increase from Be-10 to Be-11 is mainly caused by the halo neutron by which the Be-10 core moves relative to the center of mass. Polarization of the Be-10 core has only a small influence on the charge radius.