Δ degrees of freedom in trinuclei. IV. ΔΔΔ effects

Abstract

The effect of triple-\ensuremath{\Delta} degrees of freedom on the triton binding energy (${\mathit{E}}_{\mathit{T}}$) is gauged using the Argonne V28 and Hannover \ensuremath{\Delta} models. The \ensuremath{\Delta}\ensuremath{\Delta}\ensuremath{\Delta} three-body force is found to contribute only a few keV of additional attraction to the triton binding, and is thus negligible relative to the few-hundred-keV scale set by NN\ensuremath{\Delta} and N\ensuremath{\Delta}\ensuremath{\Delta} contributions. Consequently, previous results for \ensuremath{\Delta} contributions to ${\mathit{E}}_{\mathit{T}}$ require no correction for omitted \ensuremath{\Delta}\ensuremath{\Delta}\ensuremath{\Delta} configurations, despite the fact that \ensuremath{\Delta} effects involving fewer than three \ensuremath{\Delta}'s largely cancel. The trinuclear \ensuremath{\Delta}\ensuremath{\Delta}\ensuremath{\Delta} wave function component is found to be similarly reduced from NN\ensuremath{\Delta} and N\ensuremath{\Delta}\ensuremath{\Delta} levels.