Pion-photon exchange nucleon-nucleon potentials

Abstract

We calculate in chiral perturbation theory the dominant next-to-leading order correction to the $\pi \gamma$-exchange NN-potential proportional to the large isovector magnetic moment ${\kappa }_v=4.7$ of the nucleon. The corresponding spin-spin and tensor potentials ${\tilde{V}}_{S,T}(r)$ in coordinate space have a very simple analytical form. At long distances $r\simeq 2$ fm these potentials are of similar size (but opposite in sign) as the leading order $\pi \gamma$-exchange potentials. We consider also effects from virtual $\Delta$-isobar excitation as well as other isospin-breaking contributions to the $2\pi$-exchange NN-potential induced by additional one-photon exchange.

7 pages, 2 figures, to be published in Phys. Rev. C (2006) Brief Reports

References in corpus (8)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Chiral Dynamics in Nucleons and Nuclei
• Peripheral Nucleon-Nucleon Phase Shifts and Chiral Symmetry
• Chiral $2\pi$-exchange NN-potentials: Two-loop contributions
• Electromagnetic Corrections to the One-Pion-Exchange Potential
• Charge-Symmetry Breaking and the Two-Pion-Exchange Two-Nucleon Interaction
• Charge-Independence Breaking in the Two-Pion-Exchange Nucleon-Nucleon Force
• Isospin-violating nucleon-nucleon forces using the method of unitary transformation

Cited by in corpus (11)

• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• Minimally non-local nucleon-nucleon potentials with chiral two-pion exchange including $\Delta$'s
• Precision calculation of threshold pi^- d scattering, pi N scattering lengths, and the GMO sum rule
• The Effective Chiral Lagrangian From the Theta Term
• The Time-Reversal- and Parity-Violating Nuclear Potential in Chiral Effective Theory
• Precision determination of pion-nucleon coupling constants using effective field theory
• Isospin-breaking two-nucleon force with explicit Delta-excitations
• Electromagnetic corrections to the dominant two-pion exchange nucleon-nucleon potential
• A Two Potential Formula and its Application to Proton-Proton Scattering
• Dominant $2\pi \gamma$-exchange nucleon-nucleon interaction: Spin-spin and tensor potentials