$^{57}$Fe M\"ossbauer study of iron-silicide superconductor Lu$_2$Fe$_3$Si$_5$*

In order to investigate the changes of the hyperfine parameters of a compound when it goes into a superconducting state from a normal state, we studied Lu$_2$Fe$_3$Si$_5$. Lu$_2$Fe$_3$Si$_5$ is a superconductor with a transition temperature, T$_C$ $\sim$ 6 K and the Fe has been proved to be non-magnetic in a previous M\"ossbauer study[1]. We performed detailed $^{57}$Fe M\"ossbauer spectra measurement on Lu$_2$Fe$_3$Si$_5$ from room temperature down to 4.4 K with particular attention paid to region near T$_C$. No clear feature that can be associated with the superconducting transition was found in the hyperfine parameters. Detailed hyperfine parameters and recoilless fraction as a function of temperature will be presented and discussed.