Ground-State Energy of the Nucleon

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Abstract
Halpern's method of moments has been applied to the intermediate-coupling reduced Hamiltonian, whose lowest eigenvalue is a variational upper bound to the ground-state energy of the nucleon in the fixed-source model of meson theory. The results compare favorably with an earlier intermediate-coupling calculation of Friedman, Lee, and Christian, and agree with direct moment-method results. A discussion of the relationship between the present work and a Tamm-Dancoff approximation for the reduced Hamiltonian is included.