Scaling relations for triton ground-state observables

Abstract

Using a wide variety of newly obtained solutions to the Feddeev equations for the triton ground state with diverse two-body and three-body potentials, we have calculated Coulomb energies, RMS charge radii, binding energies, and probabilities of various wave function components. We show how the various radii scale with the corresponding binding energies, and advance simple arguments for the sizes of various wave function components. The Coulomb energies are compared to the hyperspherical approximation, which is found to be very accurate. In addition to our quantitative conclusions, we provide very simple qualitative arguments which account for these conclusions. Comparisons with experimental data are made where applicable.