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List of Figures

2.1 First levels of the Coulomb, harmonic, and linear potentials
8.1 Splitting pattern of the N=2 multiplet for two-body perturbations of the harmonic oscillator
8.2 Generalized splitting pattern of the N=2 multiplet for three-body perturbations of the harmonic oscillator or for a nearly hyperscalar potential
8.3 Splitting pattern of the N = 3 multiplet for a harmonic oscillator perturbed by a linear two-body potential. In the first column, the whole N = 3 multiplet is shifted by ¯ ϵ N=3 from its unperturbed value (not shown). The effect of η induces a splitting which is further modified by the term γ, defined in Eq. (8.2.19).
8.4 Splitting pattern of the negative-parity states for a linear potential treated at first order around its hyperscalar approximation. The bottom line (70, 1−)′ corresponds to the hyper-radial excitation of the L = 1 state. The other states belong to the L = 3 multiplet. The figure exhibits the splitting pattern one gets when switching on the corrections V 4 and V 6 to the hyperscalar potential V 0.
11.1 Scale independent ratios R1 = {2[qqq]+2[qqQ]−4[QQq]}∕{[qqq]−[QQQ]} and R2 = {2[QQQ] + 2[QQq] − 4[qqQ]}∕{[qqq] − [QQQ]} for the power-law potentials ∑ rijβ with β = 0.1 and β = 1, as a function of the quark mass ratio x = M∕m.
11.2 Binding energy of qqQ, as a function of the inverse mass mQ−1 for the power–law potentials ∑r ijβ with β = 0.1 and β = 1.
11.3 Ratio R4 = (Σ−Λ)∕(Σ∗−Σ) for the power-law potentials ∑r ijβ with β = 0.1 and β = 1, as a function of the quark mass ratio x = M∕m
11.4 Ratios R5 = (2Σ∗+Σ−3Λ)∕(2Δ−2N) and R 6 = (Ξ∗−Ξ)∕(Σ∗−Σ) for the power-law potentials ∑ rijβ with β = 0.1 and β = 1, as a function of the quark mass ratio M∕m
11.5 Ratios R7 = (ΣQ−ΛQ)∕(Σ∞−Λ∞) and R8 = (ΣQ∗−Σ Q)∕(Σ∞−Λ∞) for the power-law potentials ∑ rijβ with β = 0.1 and β = 1, as a function of the quark mass ratio M∕m

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