Abstract
We calculate the lifetime of the deuteron from dimension-six quark operators that violate baryon number by one unit. We construct an effective field theory (EFT) for |ΔB|=1 interactions that give rise to nucleon and ΔB=1 deuteron decay in a systematic expansion. Nucleon decay introduces imaginary parts in the low-energy constants of the ΔB=0 nuclear interactions in Chiral EFT. We show that up to and including next-to-leading order the deuteron decay rate is given by the sum of the decay rates of the free proton and neutron. The first nuclear correction is expected to contribute at the few-percent level and comes with an undetermined low-energy constant. We discuss its relation to earlier potential-model calculations.
Highlights
We show that up to and including next-to-leading order the deuteron decay rate is given by the sum of the decay rates of the free proton and neutron
In the Standard Model (SM) of particle physics the observed stability of the proton is attributed to an accidental global U (1) symmetry
If it is not associated to a local, gauge symmetry, B is expected to be violated in extensions of the SM to higher energies
Summary
We construct an effective field theory (EFT) for | B| = 1 interactions that give rise to nucleon and B = 1 deuteron decay in a systematic expansion. Nucleon decay introduces imaginary parts in the low-energy constants of the B = 0 nuclear interactions in Chiral EFT. The first nuclear correction is expected to contribute at the few-percent level and comes with an undetermined low-energy constant.
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