The dipole-dipole broadening of $ns\ensuremath{-}np$ microwave transitions of cold Rb Rydberg atoms in a magneto-optical trap has been recorded for $28\ensuremath{\leqslant}n\ensuremath{\leqslant}51$. Since the electric dipole transition matrix elements scale as
n2, a broadening rate scaling as
n4 is expected and a broadening rate of $8.2\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}15}{n}^{4}$ MHz cm
3 is observed. The observed broadening is smaller than expected from a classical picture due to the spin-orbit interaction in the
np atoms. The broadened resonances are asymmetric and cusp shaped, and their line shapes can be reproduced by a diatomic model which takes into account the dipole-dipole interaction, including the spin-orbit interaction, the strengths of the allowed microwave transitions, and the distribution of the atomic spacings in the trap.
We have used the Ramsey method of separated oscillatory fields to probe the dipole-dipole interaction of Rb
nsnp pair states of $33\ensuremath{\le}n\ensuremath{\le}41$. In the Ramsey method dipole-dipole broadening in an inhomogeneous sample is manifested as a decrease in the fringe contrast with increasing density. An attractive feature of this approach compared to conventional line broadening is that the effect of the dipole-dipole interaction can be seen near the center of the Ramsey interference pattern, where the signal is large, as opposed to in the wings, where it is small. We observe dipole-dipole broadening which scales as
n4, in agreement with the calculated broadening. In addition, the Ramsey method points to the existence of
nsnp1/2 states which have no dipole-dipole shift.