"Low-lying states in the Y-string three-quark potential" Abstract: We study the masses of various three-quark SU(6) multiplets in the N=0,1,2 shells, confined by the Y-string three-quark potential. The exact Y-string potential consists of one, so-called three-string term, and three angle-dependent two-string terms. Due to the technical complexity of the exact Y-string potential we treat the problem at four levels of increasingly accurate approximation: 1) the area-dependent part of the three-string potential in the first order perturbation approximation; 2) the (approximate) three-string potential expanded up to the first power in hyper-spherical angles; 3) the (approximate) three-string potential to all orders in power expansion in hyper-spherical harmonics, without taking into account the transition(s) to two-string potentials; 4) the exact minimal-length string potential to all orders in power expansion in hyper-spherical harmonics, while taking into account the transition(s) to two-string potentials.