Nuclear parity violation in effective field theory

2004/07/31 by Shi-Lin Zhu, C. M. Maekawa, Barry R. Holstein +5 · 161 citations
Mathematics · Physics and Astronomy · #A priori and a posteriori #Algorithm #Effective field theory #Mathematics #Nuclear force #Nuclear physics #Nuclear physics research studies #Nucleon #Parameterized complexity #Parity (physics) #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Theoretical physics #hep-ex #hep-ph #nucl-ex #nucl-th

paper · pdf · doi:10.1016/j.nuclphysa.2004.10.032

published in Nuclear Physics A 748(3-4), 435-498 (Elsevier BV) · 67 Page Latex file with typos corrected

openalex publication_date 2004/12/13 · arxiv created 2004/12/29 · arxiv updated 2014/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Parity-violating pion–nucleon coupling hπNN(1) from π+-electroproton production near the threshold
• Parity nonconservation in the deuteron photodisintegration
• Higher partial waves in an effective field theory approach to scattering
• Chiral perturbation theory to one loop
• Chiral perturbation theory: Expansions in the mass of the strange quark
• Experimental Test of Parity Conservation in Beta Decay
• Phenomenological Lagrangians

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• Parity-violating two-pion exchange nucleon-nucleon interaction