The Lamb shift contribution of very light millicharged particles
Abstract
The leading order vacuum polarization contribution of very light millicharged fermions and scalar (spin-0) particles with charge ε e and mass μ to the Lamb shift of the hydrogen atom is shown to imply universal, i.e. μ-independent, upper bounds on ε: ε 10-4 for μ 1 keV in the case of fermions, and for scalars this bound is increased by a factor of 2. This is in contrast to expectations based on the commonly used approximation to the Uehling potential relevant only for conventionally large fermion (and scalar) masses.
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