Abstract
Solutions of trinucleon nuclei (\(^3\)H and \(^3\)He) are important in the study of nuclear forces. The ground-state wave function, including spin and isospin, is antisymmetrized, giving rise to several components. Next the optimal subset for the trinucleon interacting via central and tensor interactions is constructed. The potential matrix elements are calculated using geometrical structure coefficients. The latter coefficients (for coupling of various components of the wave function through central and tensor forces) are obtained elegantly by solving a set of linear inhomogeneous equations. Results of typical calculations are presented as illustration. Effect of nuclear three-body force is also discussed.
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