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Nuclear Parity-Violation in Effective Field Theory

Shi-Lin Zhu·C. M. Maekawa·B. R. Holstein·M. J. Ramsey-Musolf·U van Kolck
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Abstract

We reformulate the analysis of nuclear parity-violation (PV) within the framework of effective field theory (EFT). To order Q, the PV nucleon-nucleon (NN) interaction depends on five a priori unknown constants that parameterize the leading-order, short-range four-nucleon operators. When pions are included as explicit degrees of freedom, the potential contains additional medium- and long-range components parameterized by PV piNN couplings. We derive the form of the corresponding one- and two-pion-exchange potentials. We apply these considerations to a set of existing and prospective PV few-body measurements that may be used to determine the five independent low-energy constants relevant to the pionless EFT and the additional constants associated with dynamical pions. We also discuss the relationship between the conventional meson-exchange framework and the EFT formulation, and argue that the latter provides a more general and systematic basis for analyzing nuclear PV.

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Shi-Lin Zhu, C. M. Maekawa, B. R. Holstein, M. J. Ramsey-Musolf, U van Kolck. 2004-12-29. Nuclear Parity-Violation in Effective Field Theory. https://doi.org/10.1016/j.nuclphysa.2004.10.032

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