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We study the lowest energy E of a relativistic system of N identical bosonsbound by pair potentials of the form V(r_{ij}) = g(r_{ij}^2) in three spatialdimensions. In natural units hbar = c = 1 the system has the semirelativistic`spinless-Salpeter' Hamiltonian H = \sum_{i=1}^N \sqrt{m^2 + p_i^2} +\sum_{j>i=1}^N g(|r_i - r_j|^2), where g is monotone increasing and hasconvexity g'' >= 0. We use `envelope theory' to derive formulas for generallower energy bounds and we use a variational method to find complementary upperbounds valid for all N >= 2. In particular, we determine the energy of theN-body oscillator g(r^2) = c r^2 with error less than 0.15% for all m >= 0, N>= 2, and c > 0.Comment: 15 pages, 4 figure

Relativistic N-boson systems bound by pair potentials V(rij)=g(rij2)