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We spectroscopically investigate the hyperfine, rotational and Zeemanstructure of the vibrational levels $\text{v}'=0$, $7$, $13$ within theelectronically excited $c^3\Sigma_g^+$ state of $^{87}\text{Rb}_2$ for magneticfields of up to $1000\,\text{G}$. As spectroscopic methods we use short-rangephotoassociation of ultracold Rb atoms as well as photoexcitation of ultracoldmolecules which have been previously prepared in several well-defined quantumstates of the $a^3\Sigma_u^+$ potential. As a byproduct, we present opticaltwo-photon transfer of weakly bound Feshbach molecules into $a^3\Sigma_u^+$,$\text{v}=0$ levels featuring different nuclear spin quantum numbers. A simplemodel reproduces well the molecular level structures of the $c^3\Sigma_g^+$vibrational states and provides a consistent assignment of the measuredresonance lines. Furthermore, the model can be used to predict the relativetransition strengths of the lines. From fits to the data we extract for eachvibrational level the rotational constant, the effective spin-spin interactionconstant, as well as the Fermi contact parameter and (for the first time) theanisotropic hyperfine constant. In an alternative approach, we performcoupled-channel calculations where we fit the relevant potential energy curves,spin-orbit interactions and hyperfine functions. The calculations reproduce themeasured hyperfine level term frequencies with an average uncertainty of$\pm9\:$MHz, similar as for the simple model. From these fits we obtain asection of the potential energy curve for the $c^3\Sigma_g^+$ state which canbe used for predicting the level structure for the vibrational manifold$\text{v}'=0$ to $13$ of this electronic state.

Level structure of deeply bound levels of the $c^3\Sigma_g^+$ state of $^{87}\text{Rb}_2$