The energy of a system of relativistic massless bosons bound by oscillator pair potentials
Abstract
We study the lowest energy E of a semirelativistic system of N identical massless bosons with Hamiltonian H= sumi=1 to N sqrt(pi2)+ sumj>i=1 to N g |ri - rj|2, g > 0. We prove the inequalities A [g N2 (N-1)2]1/3 < E < B [g N2 (N-1)2]1/3, where A = 2.33810741 and B = [81/(2 pi)]1/3 = 2.3447779. The average of these bounds determines E with an error less than 0.15% for all N > 1.
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