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Creators/Authors contains: "Robertson, D"

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  1. In contrast to finite arithmetic configurations, relatively little is known about which infinite patterns can be found in every set of natural numbers with positive density. Building on recent advances showing infinite sumsets can be found, we explore numerous open problems and obstructions to finding other infinite configurations in every set of natural numbers with positive density. 
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    Free, publicly-accessible full text available July 1, 2026
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  5. Abstract The$$^{90}$$ 90 Zr(p,$$\gamma $$ γ )$$^{91}$$ 91 Nb reaction is one of the important reactions in the$$A\approx 90$$ A 90 mass region and part of the nucleosynthesis path responsible for production of$$^{92}$$ 92 Mo during the$$\gamma $$ γ -process. Discrepant data in the literature provide a cross section that varies up to 30% within the Gamow window for the$$^{90}$$ 90 Zr(p,$$\gamma $$ γ )$$^{91}$$ 91 Nb reaction. Thus, the cross section measurements of$$^{90}$$ 90 Zr(p,$$\gamma $$ γ )$$^{91}$$ 91 Nb reaction were revisited using the$$\gamma $$ γ -summing technique. The results are consistent with the lower-value cross sections found in the literature. Based on the new data an updated reaction rate for$$^{90}$$ 90 Zr(p,$$\gamma $$ γ )$$^{91}$$ 91 Nb is provided that is up to 20% higher than that obtained from thenon-smokercode. 
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  6. Abstract The20Ne(α,p)23Na reaction rate is important in determining the final abundances of various nuclei produced in type Ia supernovae. Previously, the ground state cross section was calculated from time reversal reaction experiments using detailed balance. The reaction rates extracted from these studies do not consider contributions from the population of excited states, and therefore, are only estimates. A resonance scan, populating both the ground and first excited states, was performed for the20Ne(α,p)23Na reaction, measuring between 2.9 and 5 MeV center of mass energies at the Nuclear Science Lab at the University of Notre Dame. Data analysis is underway and preliminary results show substantial contribution from the excited state reaction. 
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