extracted. This method was employed to determine charge radii of the halo nuclei 6 He and 8 He [8] but also to measure the 4 He − 3 He differential nuclear charge radius [9,10]. These measurements are relevant to current investigations into the so-called proton radius puzzle which arose when a similar measurement of the proton radius in µH found a 7σ discrepancy with the 2010 CODATA value [11]. Current efforts investigating the nuclear charge radii of µ 3 He + and µ 4 He + are projected to reach an experimental uncertainty at the sub-attometer (am) level [12]. Determinations of the 4 He − 3 He differential nuclear charge radius with comparable accuracy in electronic systems provide a valuable cross-check for these measurements.Currently, the two most accurate measurements of the 4 He − 3 He differential nuclear charge radius have achieved accuracies of 3 [9] and 11 am 2 [10], roughly an order of magnitude less precise than the projection of the µHe experiment, but disagree by 4σ. The former experiment resolved the 2 3 S → 2 3 P transition to within one thousandth of the 1.6-MHz natural linewidth and is not expected to be improved upon in the near future. The latter experiment was performed on the doubly forbidden 2 3 S → 2 1 S transition whose 8 Hz natural linewidth is not a limiting factor but has a very low excitation rate and thus requires a long interaction time. To achieve this He * atoms were cooled to quantum degeneracy (a BoseEinstein condensate (BEC) of 4 He * , and in a degenerate Fermi gas of 3 He * ) and trapped in an optical dipole trap (ODT). The accuracy of this experiment was limited by experimental effects, mainly the ac-Stark shift induced by the ODT.This problem is also encountered in optical lattice clocks where it is solved by employing so-called magic wavelength traps [13]. In a magic wavelength trap, the wavelength of the trapping laser is chosen such that
AbstractHigh-precision spectroscopy on the 2 3 S → 2 1 S transition is possible in ultracold optically trapped helium, but the accuracy is limited by the ac-Stark shift induced by the optical dipole trap. To overcome this problem, we have built a trapping laser system at the predicted magic wavelength of 319.8 nm. Our system is based on frequency conversion using commercially available components and produces over 2 W of power at this wavelength. With this system, we show trapping of ultracold atoms, both thermal (~0.2 μk) and in a Bose-Einstein condensate, with a trap lifetime of several seconds, mainly limited by off-resonant scattering .