"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.