Δ degrees of freedom in trinuclei: I. The Hannover one-Δ model

Details Δ degrees of freedom in trinuclei: I. The Hannover one-Δ model Δ degrees of freedom in trinuclei: I. The Hannover one-Δ model

Oct 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991phrvc..44.1359p&link_type=abstract

Physical Review C (Nuclear Physics), Volume 44, Issue 4, October 1991, pp.1359-1379

Physics

Nuclear Physics

30

Scientific paper

The shift in binding energy that results from allowing one explicit Δ in the triton is studied using the Hannover one-Δ force model. The one-Δ analysis extends through J<=4, subject only to L(NΔ)<=4. Our main result is a 103-channel triton binding energy of 7.83 MeV, which corresponds to a net attractive one-Δ effect of 370 keV. The corresponding (repulsive) dispersive effect is found to be 600 keV, so that the full one-Δ three-body-force effect is 970 keV. Appropriately restricted J<=2 calculations substantiate the basic results of the original Hannover triton calculations, although differences are found. The original J<=2 figures are in good agreement with our full results and dissecting our results shows this to be largely due to cancellations among the various truncations employed in the original calculations. A numerical correction is obtained for each truncation and these are found to be relatively independent of each other. This forms a reliable basis for subsequent ΔΔ studies. The Hannover one-Δ model is also critically examined for physical consistency and the 1S0 effective range is found to be about 0.1 fm too low, a defect which could be responsible for about half of the net 370-keV increase in triton binding. The approach, methods, and numerical checks that underlie our investigations are also detailed.

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