W\gamma$ production and limits on anomalous $WW\gamma$ couplings in $p\bar{p}$ collisions

We measure the cross section and the difference in rapidities between photons and charged leptons for inclusive W({yields} l{nu})+{gamma} production in e{gamma} and {mu}{gamma} final states. Using data corresponding to an integrated luminosity of 4.2 fb{sup -1} collected with the D0 detector at the Fermilab Tevatron Collider, the measured cross section times branching fraction for the process p{bar p} {yields} W{gamma} + X {yields} l{nu}{gamma} + X and the distribution of the charge-signed photon-lepton rapidity difference are found to be in agreement with the standard model. These results provide the most stringent limits on anomalous WW{gamma} couplings for data from hadron colliders: -0.4 < {Delta}{Kappa}{sub {gamma}} < 0.4 and -0.08 < {lambda}{sub {gamma}} < 0.07 at the 95% C.L.