Explicit computations of low-lying eigenfunctions for the quantum trigonometric Calogero–Sutherland model related to the exceptional algebra $E_7$

In a previous paper, we studied the characters and Clebsch–Gordan series for the exceptional Lie algebra $E_7$ by relating them to the quantum trigonometric Calogero–Sutherland Hamiltonian with the coupling constant $\kappa=1$. We now extend that approach to the case of an arbitrary coupling constant.