Charge-Symmetry Breaking and the Two-Pion-Exchange Two-Nucleon Interaction

Abstract

Charge-symmetry breaking in the nucleon-nucleon force is investigated within an effective field theory, using a classification of isospin-violating interactions based on power-counting arguments. The relevant charge-symmetry-breaking interactions corresponding to the first two orders in the power counting are discussed, including their effects on the 3He-3H binding-energy difference. The static charge-symmetry-breaking potential linear in the nucleon-mass difference is constructed using chiral perturbation theory. Explicit formulae in momentum and configuration spaces are presented. The present work completes previously obtained results.

15 pages, 2 figures

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• Deconstructing triplet nucleon-nucleon scattering
• The Time-Reversal- and Parity-Violating Nuclear Potential in Chiral Effective Theory
• Precision determination of pion-nucleon coupling constants using effective field theory
• Isospin-violating nucleon-nucleon forces using the method of unitary transformation
• The Nucleon-Mass Difference in Chiral Perturbation Theory and Nuclear Forces
• Isospin dependence of the three-nucleon force
• Charge-Symmetry-Breaking Three-Nucleon Forces
• On the effectiveness of effective field theory in peripheral nucleon-nucleon scattering
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• Constraints on the $\Lambda$-neutron interaction from charge symmetry breaking in the ${}_{\mathbf{\Lambda }}^4\mathbf{He}$--${}_{\mathbf{\Lambda }}^4\mathbf{H}$ hypernuclei
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• Nuclear Effective Field Theories: Reverberations of the early days
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• Electromagnetic corrections to the dominant two-pion exchange nucleon-nucleon potential
• Weak magnetic field corrections to light vector or axial mesons mixings and vector meson dominance
• Dominant $2\pi \gamma$-exchange nucleon-nucleon interaction: Spin-spin and tensor potentials
• Charge dependent nucleon-nucleon potentials in covariant chiral effective field theory