Charge independence breaking and charge symmetry breaking in the nucleon-nucleon interaction from effective field theory

Abstract

We discuss charge symmetry and charge independence breaking in an effective field theory approach for few-nucleon systems. We systematically introduce strong isospin-violating and electromagnetic operators in the theory. The charge dependence observed in the nucleon-nucleon scattering lengths is due to one-pion exchange and one electromagnetic four-nucleon contact term. This gives a parameter free expression for the charge dependence of the corresponding effective ranges, which is in agreement with the rather small and uncertain empirical determinations. We also compare the low energy phase shifts of the $nn$ and the $np$ system.

11 pp, LaTeX, 2 figures (uses epsfig), dedicated to Walter Gloeckle on the occasion of his 60th birthday

References in corpus (8)

• Two-Nucleon Systems from Effective Field Theory
• Pion-nucleon scattering in chiral perturbation theory I: Isospin-symmetric case
• Virtual Photons in Low Energy pi-pi Scattering
• Virtual photons in SU(2) chiral perturbation theory and electromagnetic corrections to $\pi \pi$ scattering
• Proton-Proton Scattering Lengths from Effective Field Theory
• Isospin violation in pion-nucleon scattering
• Electromagnetic Corrections to the One-Pion-Exchange Potential
• Neutral pion photoproduction on deuterium in baryon chiral perturbation theory to order q^4

Cited by in corpus (29)

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• Effective Field Theory for Few-Nucleon Systems
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• Lattice effective field theory calculations for A = 3,4,6,12 nuclei
• Quartet S Wave Neutron Deuteron Scattering in Effective Field Theory
• Lattice calculations for A=3,4,6,12 nuclei using chiral effective field theory
• Higher Partial Waves in an Effective Field Theory Approach to nd Scattering
• Nuclear Axial Currents in Chiral Effective Field Theory
• Divergence of the isospin-asymmetry expansion of the nuclear equation of state in many-body perturbation theory
• Towards complete leading-order predictions for neutrinoless double $\beta$ decay
• Lattice chiral effective field theory with three-body interactions at next-to-next-to-leading order
• The S-Wave Pion-Nucleon Scattering Lengths from Pionic Atoms using Effective Field Theory
• Electromagnetic Structure of Few-Nucleon Ground States
• Determining the leading-order contact term in neutrinoless double $\mathbf{\beta }$ decay
• Charge-dependent nucleon-nucleon potential from chiral effective field theory
• Quartet S-wave p-d scattering in EFT
• 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
• The path from lattice QCD to the short-distance contribution to $0\nu \beta \beta$ decay with a light Majorana neutrino
• Large-$N_c$ analysis of two-nucleon neutrinoless double beta decay and charge-independence-breaking contact terms
• Charged particles interaction in both a finite volume and a uniform magnetic field
• Charge Symmetry Breaking in the n p --> d pi^0 reaction
• Breaking of Charge Independence of Nucleon-Nucleon Interaction and Bulk Properties of Nuclear Matter
• P-Wave Two-Particle Bound and Scattering States in a Finite Volume including QED
• Chiral Electroweak Currents in Nuclei
• Charge-dependent nucleon-nucleon interaction at N${}^3$LO in nuclear lattice effective field theory