Abstract The energy levels of the nucleon in fixed source pseudoscalar theory are considered in the strong-coupling limit. In addition to the previously found levels with t = j, levels characterized by the integral quantum number y, Y 2 = (T + J) 2, are found which are given by E j,t (y)= 1 κa Aa 3y(y+1)κ + 3 4 j(j+1) + t(t+1) − 3 2 g 2/κa κ, E j,t (y,n)= 1 κa 3Aa 3[y(y+1)− 3 4 n 2]κ + 3 4 j(j+1) + t(t+1) − 3 2 g 2/κa κ, n even, n 2 ≦ y 2. The length a is a cutoff length of the order of the nucleon size. The quantity A is of the order of 1 a 3 . The π meson mass is given by κ and g is the meson-nucleon coupling constant.