  The searches for CP violating effects in diatomic molecules, such as
$\text{HfF}^+$ and ThO, are typically interpreted as a probe of the electron's
electric dipole moment ($e\text{EDM}$), a new electron-nucleon interaction, and
a new electron-electron interaction. However, in the case of a non-vanishing
nuclear spin, a new CP violating nucleon-nucleon long range force will also
affect the measurement. Here, we use the $\text{HfF}^+$ $e\text{EDM}$ search
and derive a new bound on this hypothetical interaction, which is the most
stringent from terrestrial experiments in the 1 eV-10 keV mass range. These
multiple new physics sources motivate independent searches in different
molecular species for CP violation at low energy that result in model
independent bounds, which are insensitive to cancellation among them.
