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arXiv · 1611.10004

Tritium $β$-decay in pionless effective field theory

Hilla De-Leon·Lucas Platter·Doron Gazit
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Abstract

We calculate the $β$-decay of tritium at next-to-leading order in pionless effective field theory. At this order, a low-energy parameter $L_{1, A}$ enters the calculation that is also relevant for a high-accuracy prediction of the solar proton-proton fusion rate. We use the tritium half-life to determine this parameter and provide uncertainty estimates. We show proper renormalization of our calculation analyzing the residual cutoff dependence of observables. We find that next-to-leading order corrections contribute about $4\%$ to the triton decay Gamow-Teller strength. We show that these conclusions are insensitive to different arrangements of the effective range expansion.

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Hilla De-Leon, Lucas Platter, Doron Gazit. 2019-11-15. Tritium $β$-decay in pionless effective field theory. https://doi.org/10.1103/physrevc.100.055502

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