1. The Neutron Mean Life and Big Bang Nucleosynthesis.
- Author
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Yeh, Tsung-Han, Olive, Keith A., and Fields, Brian D.
- Subjects
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NUCLEOSYNTHESIS , *NEUTRONS , *NEUTRON measurement , *COSMIC background radiation , *ERROR analysis in mathematics , *LIGHT elements - Abstract
We explore the effect of neutron lifetime and its uncertainty on standard big bang nucleosynthesis (BBN). BBN describes the cosmic production of the light nuclides, 1 H , D, 3 H + 3 He , 4 He , and 7 Li + 7 Be , in the first minutes of cosmic time. The neutron mean life τ n has two roles in modern BBN calculations: (1) it normalizes the matrix element for weak n ↔ p interconversions, and (2) it sets the rate of free neutron decay after the weak interactions freeze-out. We review the history of the interplay between τ n measurements and BBN, and present a study of the sensitivity of the light element abundances to the modern neutron lifetime measurements. We find that τ n uncertainties dominate the predicted 4 He error budget, but these theory errors remain smaller than the uncertainties in 4 He observations, even with the dispersion in recent neutron lifetime measurements. For the other light element predictions, τ n contributes negligibly to their error budget. Turning the problem around, we combine present BBN and cosmic microwave background (CMB) determinations of the cosmic baryon density to predict a "cosmologically preferred" mean life of τ n (BBN + CMB) = 870 ± 16 s , which is consistent with experimental mean life determinations. We show that if future astronomical and cosmological helium observations can reach an uncertainty of σ obs (Y p) = 0.001 in the 4 He mass fraction Y p , this could begin to discriminate between the mean life determinations. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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