Δ degrees of freedom in trinuclei. II. The Hannover ΔΔ model

The effect of {Δ} and {Δ}{Δ} degrees of freedom on the triton binding energy (ET) is studied using the Hannover {Δ}{Δ} force model. The three-body system of interest extends through J{≤}4, with L(N{Δ}),L({Δ}{Δ}){≤}4. A series of preliminary investigations reduces this three-body problem to J{≤}2, with L(N{Δ}),L({Δ}{Δ}){≤}2, and a 110 keV attractive correction to ET. These J{≤}2 {Δ}{Δ} calculations reveal a repulsive dispersive effect of 930 keV and an attractive {Δ}{Δ} three-body force effect of 500 keV, in addition to the corresponding one-{Δ} effects of 550 and 920 keV, respectively. The total {Δ}-induced dispersive effect is thus about 1480 keV, while the total {Δ}-induced three-body force effect is about 1420 keV: {Δ} effects on ET almost exactly cancel. The net {Δ}{Δ} J{≤}2 result is ET=7.32 MeV, while the corresponding nucleons-only result is 7.38 MeV. Similarly, the net J{≤}4 result is ET=7.43 MeV, as compared to the corresponding nucleons-only result, 7.46 MeV. The Hannover {Δ}{Δ} force model is also examined for consistency with the two-body scattering parameters and is found to be somewhat defective in this regard. Thus, the important implications of these qualitative results for nuclear physics are to some extent dependent on confirmation using more sophisticated force models.