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

C. M. Maekawa, E. Mereghetti, J. de Vries, U. van Kolck

Research output: Contribution to journalArticlepeer-review

41 Scopus citations


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 languageEnglish (US)
Pages (from-to)117-160
Number of pages44
JournalNuclear Physics A
Issue number1
StatePublished - Dec 2011


  • Chiral effective theory
  • Time-reversal violation

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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