Ring phases of spin-orbit coupled Bose-Einstein condensate in the radial optical lattices Ji-Guo Wang, Wei Wang, Xiao-Dong Bai and Shi-Jie Yang Eur. Phys. J. Plus, 134 1 (2019) 27 Published online: 17 January 2019 DOI: 10.1140/epjp/i2019-12422-8