The ultralong-range Cs2 Rydberg molecules consisting of a Rydberg, nD5/2 ( principal quantum number n =35-38), and a ground state atom, 6S1/2 (F=4) are prepared by a two-photon photoassociation spectroscopy in an ultracold Cs gas. This kind of molecule is bound with the low energy scattering and has a permanent dipole moment. We observe two Rydberg-ground state molecular spectra, one is deep-bound molecule, TΣ state, bound by triplet s-wave scattering length and the other one is shallow-bound molecule, S,TΣ state, bound by mixed singlet-triplet s-wave scattering length. The binding energy of Rydberg-ground molecules are attained by analyzing the two photon photoassociation spectrum, corresponding permanent dipole moment is measured by applying an external electric field, which is compared to the calculation.
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