Identifying Disappearance of a White Dwarf Binary with LISA

We discuss the prospect of identifying a white dwarf binary merger by monitoring disappearance of its nearly monochromatic gravitational wave. For a ten-year operation of the laser interferometer space antenna (LISA), the chance probability of observing such an event is roughly estimated to be 20%. By simply using short-term coherent signal integrations, we might determine the merger time with an accuracy of $\sim$3-10 days. Also considering its expected sky localizability $\sim 0.1$-$0.01\mathrm{d}\mathrm{e}{\mathrm{g}}^2$, LISA might make an interesting contribution to the multi-messenger study on a merger event.