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Abstract
To comprehend the recent Brookhaven National Laboratory experiment E788 on HeΛ4, we have outlined a simple theoretical framework, based on the independent-particle shell model, for the one-nucleon-induced nonmesonic weak decay spectra. Basically, the shapes of all the spectra are tailored by the kinematics of the corresponding phase space, depending very weakly on the dynamics, which is gauged here by the one-meson-exchange potential. In spite of the straightforwardness of the approach a good agreement with data is achieved. This might be an indication that the final-state-interactions and the two-nucleon induced processes are not very important in the decay of this hypernucleus. We have also found that the π+K exchange potential with soft vertex-form-factor cutoffs (Λπ≈0.7 GeV, ΛK≈0.9 GeV), is able to account simultaneously for the available experimental data related to Γp and Γn for HΛ4, HeΛ4, and HeΛ5.
Highlights
The nonmesonic weak decay (NMWD) of Λ hypernuclei, ΛN → nN (N = p, n), is very interesting in several aspects
We have found that the π + K exchange potential with soft vertex-formfactor cutoffs (Λπ ≈ 0.7 GeV, ΛK ≈ 0.9 GeV), is able to account simultaneously for the available experimental data related to
Interesting is the Brookhaven National Laboratory experiment E788 on 4ΛHe, performed by Parker et al [6], which highlighted that the effects of the Final State Interactions (FSI) on the one-nucleon induced decay, as well as the contributions of the two-nucleon induced decays, ΛNN → nNN, could be very small in this case, if any
Summary
We have outlined a simple theoretical framework, based on the independent-particle shell model, for the onenucleon-induced nonmesonic weak decay spectra. The shapes of all the spectra are tailored by the kinematics of the corresponding phase space, depending very weakly on the dynamics, which is gauged here by the one-meson-exchange-potential. In spite of the straightforwardness of the approach a good agreement with data is acheived. This might be an indication that the finalstate-interactions and the two-nucleon induced processes are not very important in the decay of this hypernucleus. We have found that the π + K exchange potential with soft vertex-formfactor cutoffs (Λπ ≈ 0.7 GeV, ΛK ≈ 0.9 GeV), is able to account simultaneously for the available experimental data related to
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