We use neutron polarization analysis to study spin excitation anisotropy in the optimally isovalent-doped superconductor BaFe 2 (As 0.7 P 0.3 ) 2 (T c = 30 K). Different from optimally hole-and electron-doped BaFe 2 As 2 , where there is a clear spin excitation anisotropy in the paramagnetic tetragonal state well above T c , we find no spin excitation anisotropy for energies above 2 meV in the normal state of BaFe 2 (As 0.7 P 0.3 ) 2 . Upon entering the superconducting state, significant spin excitation anisotropy develops at the antiferromagnetic (AF) zone center Q AF = (1,0,L = odd), while the magnetic spectrum is isotropic at the zone boundary Q = (1,0,L = even). By comparing the temperature, wave vector, and polarization dependence of the spin excitation anisotropy in BaFe 2 (As 0.7 P 0.3 ) 2 and hole-doped Ba 0.67 K 0.33 Fe 2 As 2 (T c = 38 K), we conclude that such anisotropy arises from spin-orbit coupling and is associated with the nearby AF order and superconductivity. DOI: 10.1103/PhysRevB.96.180503 Spin-orbit coupling (SOC) is an interaction of an electron's spin with its motion. While the importance of SOC to the electronic properties of the 4d and 5d correlated electron materials such as Sr 2 RuO 4 and Sr 2 IrO 4 is long recognized [1,2], its relevance to the physics of the 3d correlated electron materials such as iron pnictide superconductors is much less clear. Since iron pnictide superconductors are derived from metallic parent compounds exhibiting antiferromagnetic (AF) order at T N below a tetragonal-to-orthorhombic structural transition temperature T s associated with orbital ordering and nematic phase [ Fig. 1(a)] [3][4][5][6][7], most microscopic theories for iron-based superconductors are focused on the role of spin [8][9][10], orbital [11], or nematic [7,12] fluctuations to the electron pairing and superconductivity. Although angleresolved photoemission spectroscopy (ARPES) experiments on different families of iron-based superconductors have identified the presence of SOC through observation of electronic band splitting at the Brillouin zone center (ZC) below T s [13][14][15], much is unknown concerning the role of SOC to the AF order, nematic phase, electron pairing mechanism, and superconductivity [16][17][18][19].In addition to its impact on the Fermi surface and electronic band dispersions, SOC also brings lattice anisotropies into anisotropies of magnetic fluctuations [20,21] [46][47][48][49][50][51]. Although polarized INS experiments have conclusively established the presence of SOC induced lowenergy spin excitation anisotropy near the resonance mode in different families of iron-based superconductors [23][24][25][26][27][28][29][30][31][32][33][34], the spin excitation anisotropy persists in the paramagnetic tetragonal state, and becomes isotropic at temperatures well above T N and T s [25,26,[30][31][32]. Therefore, it is still unclear how SOC is coupled to spin fluctuation anisotropy and superconductivity.To resolve this problem, we used polarized INS to study low-energy spin ...