LAUSR

Tucana-II (Tuc-II), a recently discovered and confirmed Ultra Faint Dwarf Spheroidal galaxy, has a high mass to light ratio as well as a large line-of-sight stellar velocity dispersion, thus making it an ideal candidate for an indirect dark matter search. In this paper, we have analyzed nine years of $\gamma$-ray data obtained from the Fermi-LAT instrument in the direction of Tuc-II. The fact that no statistically significant $\gamma$-ray excess over the background of Tuc-II have been detected from the location of this galaxy. It called for an estimation of the $95\%$ confidence level upper limit of the possible velocity weighted self-annihilation cross-section of the dark matter particles (WIMPs) within Tuc-II by fitting the observed $\gamma$-ray flux with the DMFit function. The estimated upper limits of the cross-sections are then compared with similar upper limits of the cross-sections determined by us in three other dwarf galaxies that are considered earlier to be the good dark matter candidates in the literature. We have also compared our results with the cross-sections obtained in various popular theoretical models of the WIMPs to find that our results impose reasonable constraints on the parameter spaces of those models. In the concluding section, we compared our results with the similar results obtained from a combined dSph analysis by the Fermi-LAT collaboration as well as the results obtained from the studies of dark matter in the dwarf galaxies by the major ground-based Cherenkov experiments.