Δ degrees of freedom in trinuclei. III. The Argonne Δ model

Details Δ degrees of freedom in trinuclei. III. The Argonne Δ model Δ degrees of freedom in trinuclei. III. The Argonne Δ model

May 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrvc..45.2045p&link_type=abstract

Physical Review C (Nuclear Physics), Volume 45, Issue 5, May 1992, pp.2045-2054

Physics

Nuclear Physics

21

Few-Body Systems, Binding Energies And Masses, A<=5

Scientific paper

The Argonne Δ model is used to study the effect of one-Δ and ΔΔ degrees of freedom on the triton binding energy (ET). Exploratory calculations decompose the J<=4 system of interest into restricted (JL2) calculations, with J<=2 and L(NΔ), L(ΔΔ)<=2, and a 130 keV attractive correction. A JL2 dispersive calculation yields ET=6.50 MeV, while a full JL2 calculation gives 7.16 MeV, revealing an attractive Δ three-body-force (3BF) contribution of 660 keV. Comparing to the nucleons-only value, ET=7.58 MeV, the size of the repulsive Δ dispersive effect is 1080 keV. The one-Δ and ΔΔ 3BF contributions are found to be 440 and 220 keV, respectively, while the corresponding full J<=4 values are 450 and 290 keV, respectively. The net J<=4 result is ET=7.29 MeV versus a nucleons-only value of 7.67 MeV: the attractive Δ 3BF contribution is not quite sufficient to cancel the 1120 keV repulsive Δ dispersive effect. The cancellation between dispersive and 3BF effects is similar to that found for the Hannover Δ model, although the residual Δ repulsive effect found for the Argonne model is non-negligible: Δ effects are found not to resolve the triton binding energy defect. It is also evident from these results that Δ dispersive effects are not adequately represented in nucleons-only models simply by force of fitting the NN data. Thus, the present results confirm the qualitative implications of our previous studies using the Hannover Δ model, including the fact that ΔΔ effects are appreciable.

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