Lorentz-Symmetry Test at Planck-Scale Suppression with Nucleons in a Spin-Polarized 133 Cs Cold Atom Clock

We introduce an improved model that links the frequency shift of the Cs-133 hyperfine Zeeman transitions vertical bar F=3; m(F)> <-> vertical bar F = 4; m(F)> 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 Standard Model extension analyses, thereby providing access to both proton and neutron SME coefficients including the isotropic coefficient (c) over tilde (TT). Using this new model in a second analysis of the data delivered by the FO2 dual Cs/ Rb fountain at Paris Observatory and previously analyzed in [1], we improve by up to 13 orders of magnitude the present maximum sensitivities for laboratory tests [2] on the (c) over tilde (Q), (c) over tilde (TJ), and (c) over tilde (TT) coefficients for the neutron and on the (c) over tilde (Q) coefficient for the proton, reaching respectively 10(-20), 10(-17), 10(-13), and 10(-15) GeV.