Limits on Anomalous $\mathit{WW}\mathit{\gamma }$ Couplings from $\mathit{p}\overline{p}\to \mathit{W}\mathit{\gamma }+\mathit{X}$ Events at $\surd \mathit{s}=1.8\mathrm{}$ TeV

We have measured the $\mathrm{WW}\gamma$ gauge boson coupling parameters using $p\overline{p}\to \ell \nu \gamma +X$ ( $\ell =e,\mu$) events at $\sqrt{s}=1.8\mathrm{}$ TeV. The data, corresponding to an integrated luminosity of $92.8{\mathrm{pb}}^{-1\mathrm{}}$, were collected using the DØ detector at the Fermilab Tevatron Collider. The measured cross section times branching ratio for $p\overline{p}\to W\gamma +X$ with $p_T^{\gamma }>10\mathrm{}$ GeV/c and $R_{\ell \gamma }>0.7\mathrm{}$ is ${11.3}_{-1.5\mathrm{}}^{+1.7\mathrm{}}\pm 1.5$ pb, in agreement with the standard model prediction. The 1 degree of freedom 95% confidence level limits on individual CP-conserving parameters are $-0.93<\Delta \kappa <0.94\mathrm{}$ and $-0.31<\lambda <0.29\mathrm{}$. Similar limits are set on the CP-violating coupling parameters.