A model-independent description of dt and d3He systems near low-energy resonances
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Abstract
The effective range expansion is used to obtain a model-independent description of dt and d3He systems in the vicinity of the low-energy resonances5He*(3/2+) and5Li* (3/2+). The Coulomb-modified nuclear scattering lengthsacs and effective rangesrcs with angular momentuml=0 as well as the astrophysical functions(E) are calculated from the modern experimental data for cross sections of the dt→nα and d3He→pα fusion reactions in the vicinity of the resonances. To this end the generalization of the Smorodinsky formula for effective range to the case of potentials with the Coulomb barrier, as well as the phase analysis of the elastic nα-scattering near the resonance5He* (3/2+), are essentially used. The analytical structure of the scattering amplitudes in presence of absorption in the system is studied. Two series of the Coulomb poles of the dt-scattering amplitude in the complexk-plane, condensing to the elastic threshold, are found.
Keywords
Experimental Data Thin Film Analytical Structure Phase Analysis Fusion ReactionPreview
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