### Abstract

We calculate the lifetime of the deuteron with dimension-nine quark operators that violate baryon number by two units. We construct an effective field theory for |ΔB|=2 interactions that give rise to neutron-antineutron (n-n) oscillations and dinucleon decay within a consistent power counting. We calculate the ratio of the deuteron lifetime to the square of the n-n oscillation time up to next-to-leading order. Our result, which is analytical and has a quantified uncertainty, is smaller by a factor ≃2.5 than earlier estimates based on nuclear models, which impacts the indirect bound on the n-n oscillation time and future experiments. We discuss how combined measurements of n-n oscillations and deuteron decay can help to identify the sources of baryon-number violation.

Original language | English (US) |
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Article number | 172501 |

Journal | Physical review letters |

Volume | 122 |

Issue number | 17 |

DOIs | |

State | Published - Apr 29 2019 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physical review letters*,

*122*(17), [172501]. https://doi.org/10.1103/PhysRevLett.122.172501

**Baryon-Number Violation by Two Units and the Deuteron Lifetime.** / Oosterhof, F.; Long, B.; De Vries, J.; Timmermans, R. G.E.; Van Kolck, Ubirajara.

Research output: Contribution to journal › Article

*Physical review letters*, vol. 122, no. 17, 172501. https://doi.org/10.1103/PhysRevLett.122.172501

}

TY - JOUR

T1 - Baryon-Number Violation by Two Units and the Deuteron Lifetime

AU - Oosterhof, F.

AU - Long, B.

AU - De Vries, J.

AU - Timmermans, R. G.E.

AU - Van Kolck, Ubirajara

PY - 2019/4/29

Y1 - 2019/4/29

N2 - We calculate the lifetime of the deuteron with dimension-nine quark operators that violate baryon number by two units. We construct an effective field theory for |ΔB|=2 interactions that give rise to neutron-antineutron (n-n) oscillations and dinucleon decay within a consistent power counting. We calculate the ratio of the deuteron lifetime to the square of the n-n oscillation time up to next-to-leading order. Our result, which is analytical and has a quantified uncertainty, is smaller by a factor ≃2.5 than earlier estimates based on nuclear models, which impacts the indirect bound on the n-n oscillation time and future experiments. We discuss how combined measurements of n-n oscillations and deuteron decay can help to identify the sources of baryon-number violation.

AB - We calculate the lifetime of the deuteron with dimension-nine quark operators that violate baryon number by two units. We construct an effective field theory for |ΔB|=2 interactions that give rise to neutron-antineutron (n-n) oscillations and dinucleon decay within a consistent power counting. We calculate the ratio of the deuteron lifetime to the square of the n-n oscillation time up to next-to-leading order. Our result, which is analytical and has a quantified uncertainty, is smaller by a factor ≃2.5 than earlier estimates based on nuclear models, which impacts the indirect bound on the n-n oscillation time and future experiments. We discuss how combined measurements of n-n oscillations and deuteron decay can help to identify the sources of baryon-number violation.

UR - http://www.scopus.com/inward/record.url?scp=85065802934&partnerID=8YFLogxK

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U2 - 10.1103/PhysRevLett.122.172501

DO - 10.1103/PhysRevLett.122.172501

M3 - Article

VL - 122

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 17

M1 - 172501

ER -