Recently there has been growing interest in usage of semifluxon, which is a spontaneous Josephson vortex carrying a half of the magnetic flux quantum . It is widely recognized that these types of vortices are pinned at the phase discontinuity point in 0- long Josephson junctions (LJJ) [1]. In general, a vortex is a fluxon carrying , while a vortex is a semifluxon carrying . In this paper, we report the first direct numerical observation of a novel type of semifluxons, which are movable, i.e. not pinned, and created in conventional LJJ due to flux cloning in T-shaped JJs. In T- shaped junction, an additional Josephson transmission line (JTL) of width along the -axis is connected centrally to a main JTL of width along the -axis, see Fig. 1. At T-junction, vortex can be cloned when it pass through it if velocity of vortex exceeds the critical value,see Fig. 1 [2]. Otherwise, the vortex will be reflected. In the case of extended T-shaped JTL, , we have found that it is possible the existence of movable semifluxons in conventional T-Josephson junctions, see Fig.2. Our numerical calculations show evidence of three interesting and important features: (a) (anti-)semifluxons can be spontaneously appeared by T-shaped junctions, (b) (anti-)semifluxon is not localized but it may be freely moved in Josephson junction, (c) A spontaneous generation of periodic movabe (anti-)semifluxon chains will occur and spontaneous series of annihilation and creation takes place between them. The finding of these semifluxon and their dynamics is very useful to understand the behaviour and decay of the high elementary particles. If the fluxon is equivalent to such particle, then the semifluxon will be equivalent to aquark.