Reply to arXiv:1002.4366, Comment on `Motion of an impurity in an ultracold quasi-one-dimensional gas of hard-core bosons`, by S. Giraud and R. Combescot

In their Comment [1] Giraud and Combescot point out that the contribution to the impurity-boson distribution function $rho_{bi}(x-y)$ of a term we dropped is not negligible, rather than being negligible in the thermodynamic limit as we had conjectured. We now agree with them, but nevertheless our results for $rho_{bi}$ are highly accurate for large impurity-boson mass ratio $m_i/m$ and remain qualitatively correct for all values of $m_i/m$ and all values of the boson-impurity coupling constant.