Reciprocal Bootstrap Relationship of the Octet Baryon and the Decuplet Baryon

The reciprocal bootstrap relationship of the octet of ()⁺ baryons and the decuplet of (3/2)⁺ baryons is studied making use of the static approximation. If we regard the octet baryon as a B₈Π₈ bound state due to octet and decuplet baryon exchange, we obtain γ₁₀≈7d² and d/f≈2.2, where γ₁₀ is the B̄₁₀B₈Π₈ coupling constant and d and f are the d and f coupling constants of B̄₈B₈Π₈ coupling. If octet vector meson exchange processes are included and if we assume the vector theory (gauge theory) of strong interactions, we obtain γ₁₀<7d² and d/f<2.2. If we regard the decuplet baryon as a B₈Π₈ bound state due to octet baryon exchange, we obtain γ₁₀≈4d² for the ratio d/f=2.2.