  We examine the behavior of the Ramond ground states in the D1-D5 CFT after a
deformation of the free-orbifold sigma model on target space $({\mathbb T}^4)^N
/ S_N$ by a marginal interaction operator. These states are compositions of
Ramond ground states of the twisted and untwisted sectors. They are
characterized by a conjugacy class of $S_N$ and by the set of their "spins",
including both R-charge and "internal" SU(2) charge. We compute the four-point
functions of an arbitrary Ramond ground state with its conjugate and two
interaction operators, for genus-zero covering surfaces representing the
leading orders in the large-$N$ expansion. We examine short distance limits of
these four-point functions, shedding light on the dynamics of the interacting
theory. We find the OPEs and a collection of structure constants of the ground
states with the interaction operators and a set of resulting non-BPS twisted
operators. We also calculate the integrals of the four-point functions over the
positions of the interaction operators and show that they vanish. This provides
an explicit demonstration that the Ramond ground states remain protected
against deformations away of the free orbifold point, as expected from
algebraic considerations using the spectral flow of the ${\mathcal N} = (4,4)$
superconformal algebra with central charge $c = 6N$.
