U(5) and O(6) shape phase transitions via E(5) inverse square potential solutions K. R. Ajulo, K. J. Oyewumi, O. S. Oyun and S. O. Ajibade Eur. Phys. J. Plus, 136 5 (2021) 500 Published online: 06 May 2021 DOI: 10.1140/epjp/s13360-021-01451-7