Collinear laser spectroscopy of Ca^{+}: Solving the field-shift puzzle of the 4s^{2}S_{1/2}→4p^{2}P_{1/2,3/2} transitions

High-precision quasisimultaneous collinear/anticollinear laser spectroscopy was used to measure the 4s^{2}S_{1/2}→4p^{2}P_{1/2} (D1) and the 4s^{2}S_{1/2}→4p^{2}P_{3/2} (D2) as well as the three 3d→4p transitions in the naturally abundant Ca^{+} isotopes. Thereby, accuracies of approximately 100kHz were achieved, which enabled an accurate determination of the field-shift ratio in the D2 and D1 lines through a King-plot analysis. Our value of F_{D2}/F_{D1}=1.0010(23) is in excellent agreement with current theoretical predictions, while former experimental results from ion-trap measurements showed a 3σ to 6σ deviation from theory introducing the so-called Ca^{+} field-shift puzzle. A successful check of consistency was made by combining the measurements of the D1 and D2 lines with those of the 3d→4p transitions and precise literature values for the 4s→3d and 3d^{2}D_{3/2}→3d^{2}D_{5/2} transitions. Failing for the previous ion-trap measurements, the check of consistency strongly indicates that our results constitute a solution to this puzzle, supporting the results of atomic theory.