### Abstract

We derive the parity- and time-reversal-violating nuclear interactions stemming from the QCD θ̄ term and quark/gluon operators of effective dimension 6: quark electric dipole moments, quark and gluon chromo-electric dipole moments, and two four-quark operators. We work in the framework of two-flavor chiral perturbation theory, where a systematic expansion is possible. The different chiral-transformation properties of the sources of time-reversal violation lead to different hadronic interactions. For all sources considered the leading-order potential involves known one-pion exchange, but its specific form and the relative importance of short-range interactions depend on the source. For the θ̄ term, the leading potential is solely given by one-pion exchange, which does not contribute to the deuteron electric dipole moment. In subleading order, a new two-pion-exchange potential is obtained. Its short-range component is indistinguishable from one of two undetermined contact interactions that appear at the same order and represent effects of heavier mesons and other short-range QCD dynamics. One-pion-exchange corrections at this order are discussed as well.

Original language | English (US) |
---|---|

Pages (from-to) | 117-160 |

Number of pages | 44 |

Journal | Nuclear Physics, Section A |

Volume | 872 |

Issue number | 1 |

DOIs | |

State | Published - Dec 2011 |

### Fingerprint

### Keywords

- Chiral effective theory
- Time-reversal violation

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics, Section A*,

*872*(1), 117-160. https://doi.org/10.1016/j.nuclphysa.2011.09.020

**The time-reversal- and parity-violating nuclear potential in chiral effective theory.** / Maekawa, C. M.; Mereghetti, E.; de Vries, J.; Van Kolck, Ubirajara.

Research output: Contribution to journal › Article

*Nuclear Physics, Section A*, vol. 872, no. 1, pp. 117-160. https://doi.org/10.1016/j.nuclphysa.2011.09.020

}

TY - JOUR

T1 - The time-reversal- and parity-violating nuclear potential in chiral effective theory

AU - Maekawa, C. M.

AU - Mereghetti, E.

AU - de Vries, J.

AU - Van Kolck, Ubirajara

PY - 2011/12

Y1 - 2011/12

N2 - We derive the parity- and time-reversal-violating nuclear interactions stemming from the QCD θ̄ term and quark/gluon operators of effective dimension 6: quark electric dipole moments, quark and gluon chromo-electric dipole moments, and two four-quark operators. We work in the framework of two-flavor chiral perturbation theory, where a systematic expansion is possible. The different chiral-transformation properties of the sources of time-reversal violation lead to different hadronic interactions. For all sources considered the leading-order potential involves known one-pion exchange, but its specific form and the relative importance of short-range interactions depend on the source. For the θ̄ term, the leading potential is solely given by one-pion exchange, which does not contribute to the deuteron electric dipole moment. In subleading order, a new two-pion-exchange potential is obtained. Its short-range component is indistinguishable from one of two undetermined contact interactions that appear at the same order and represent effects of heavier mesons and other short-range QCD dynamics. One-pion-exchange corrections at this order are discussed as well.

AB - We derive the parity- and time-reversal-violating nuclear interactions stemming from the QCD θ̄ term and quark/gluon operators of effective dimension 6: quark electric dipole moments, quark and gluon chromo-electric dipole moments, and two four-quark operators. We work in the framework of two-flavor chiral perturbation theory, where a systematic expansion is possible. The different chiral-transformation properties of the sources of time-reversal violation lead to different hadronic interactions. For all sources considered the leading-order potential involves known one-pion exchange, but its specific form and the relative importance of short-range interactions depend on the source. For the θ̄ term, the leading potential is solely given by one-pion exchange, which does not contribute to the deuteron electric dipole moment. In subleading order, a new two-pion-exchange potential is obtained. Its short-range component is indistinguishable from one of two undetermined contact interactions that appear at the same order and represent effects of heavier mesons and other short-range QCD dynamics. One-pion-exchange corrections at this order are discussed as well.

KW - Chiral effective theory

KW - Time-reversal violation

UR - http://www.scopus.com/inward/record.url?scp=82655173801&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=82655173801&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysa.2011.09.020

DO - 10.1016/j.nuclphysa.2011.09.020

M3 - Article

AN - SCOPUS:82655173801

VL - 872

SP - 117

EP - 160

JO - Nuclear Physics A

JF - Nuclear Physics A

SN - 0375-9474

IS - 1

ER -