We investigate one-dimensional (1D) Majorana bound states (MBSs) realized in terms of the helical edge states of a 2D quantum spin-Hall insulator (QSHI) in a heterostructure with a superconducting substrate and two ferromagnetic insulators (FIs). By means of Bogoliubov-de Gennes approach we demonstrate that there is a helical spin texture in the MBS wave function with a pitch proportional to the Fermi momentum of the helical edge states of QSHI . Moreover, simultaneous detection on local density of states by scanning tunneling microscopy and spectroscopy at a position close to one FI edge and at the midpoint between two FIs can not only map out the energy spectrum ±E cos(φ/2), but also prove experimentally that the two quasiparticle excitations do not mix with each other as protected by the parity conservation associated with the MBSs.Introduction.-Considerable efforts have been devoted to search for peculiar zero-energy quasiparticle excitations in topological superconductors (SCs) [1][2][3][4], which, getting name of Majorana bound states (MBSs) due to the equivalence to their antiparticles [5,6], can realize non-Abelian quantum statistics useful for establishing decoherence-free topological quantum computation [7][8][9][10][11][12][13]. While it becomes clear theoretically that MBSs appear at vortex cores in two-dimensional (2D) topological SCs and ends of 1D ones realized in various hybrid systems [14][15][16][17][18][19][20][21][22][23], to nail them down conclusively in experiments remains challenging [10,[24][25][26].Recently experimental works have been reported on local density of states (LDOS) associated with MBSs explored by scanning tunneling microscopy and spectroscopy (STM/STS). In a system of iron (Fe) chains on the lead (Pb) substrate, high-resolution spectroscopic images signal zero-energy quasiparticle states localized at the ends of Fe chains, as expected with the emergence of MBSs [27]. In a hybrid device made of a NbSe 2 substrate and a thin film of 3D topological insulator (TI) Bi 2 Te 3 , LDOS at vortex cores as a function of energy and the distance from vortex center evolves from "V"-shape to "Y"-shape with increasing thickness of the TI film, reflecting the appearance of MBSs [28]. By means of Bogoliubov-de Gennes (BdG) approach the present authors confirmed this LDOS evolution, and meanwhile revealed a "checkerboard" pattern in the relative LDOS between spin up and down channels inside vortex cores. The latter property can be explored experimentally by spin-resolved STM/STS, which may identify MBSs as individual quantum states [29].The spin oscillations in MBS wave function in a vortex core are governed by the conservation of total angular momentum, which has contributions from orbital and spin angular momenta as well as the phase winding of superconducting vortex. It is then interesting to ask whether a spin texture exists in 1D MBS where orbital angular momentum and superconducting phase