Lorentz-symmetry test at Planck-scale suppression with nucleons in a spin-polarized 133Cs cold atom clock
Abstract
We introduce an improved model that links the frequency shift of the 133Cs hyperfine Zeeman transitions F = 3, mF> F = 4, mF > to the Lorentz-violating Standard-Model Extension (SME) coefficients of the proton and neutron. The new model uses Lorentz transformations developed to second order in boost and additionally takes the nuclear structure into account, beyond the simple Schmidt model used previously in SME analyses, thereby providing access to both proton and neutron SME coefficients including the isotropic coefficient cTT. Using this new model in a second analysis of the data delivered by the FO2 dual Cs/Rb fountain at Paris Observatory and previously analysed in arXiv:hep-ph/0601024v1, we improve by up to 12 orders of magnitude the present maximum sensitivities (see arXiv:0801.0287v9) on the cQ, cTJ and cTT coefficients for the neutron and on the cTT coefficient for the proton, reaching respectively 10-20, 10-17, 10-13 and 10-15 GeV.
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