Hyperspherical harmonics and electric dipole sum rules for the triton

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Abstract
We use expansions in hyperspherical harmonics to calculate electric dipole transitions in the triton photoeffect. Gunn's ground state wave function is used with a Born approximation; the resulting cross section is compared with sum-rule calculations. We also use Ballot's ground state wave function for the spin-independent Volkov potential, in Born approximation, and combined with a continuum wave function for grand orbital one for the Volkov potential assumed to have Wigner character. The latter assumption gives an integrated cross section only 6% larger than the Thomas-Reiche-Kuhn sum rule; i.e., the severe truncation has only a small effect.