Electromagnetic corrections to the dominant two-pion exchange nucleon-nucleon potential

Abstract

We calculate at two-loop order in chiral perturbation theory the electromagnetic corrections to the dominant two-pion exchange nucleon-nucleon interaction that is generated by the isoscalar $\pi N$ contact-vertex proportional to the large low-energy constant $c_3$. We find that the respective $2\pi \gamma$-exchange potential contains sizeable isospin-breaking components which amount to about -1% of the strongly attractive isoscalar central $2\pi$-exchange potential. The typical value of these novel charge-independence and charge-symmetry breaking central potentials is $0.3$MeV at a nucleon distance of $r=m_{\pi }^{-1}=1.4$fm. Our analytical result for this presumably dominant $2\pi \gamma$-exchange interaction is in a form such that it can be easily implemented into phase-shift analyses and few-body calculations.

7 pages, 1 figure, to be published in Physical Review C (2006): Brief Reports

References in corpus (1)

• Pion-photon exchange nucleon-nucleon potentials

Cited by in corpus (7)

• Chiral effective field theory and nuclear forces
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Isospin-breaking two-nucleon force with explicit Delta-excitations
• The nn quasi-free nd breakup cross section: discrepancies to theory and implications on the 1S0 nn force
• Parity-violating two-pion exchange nucleon-nucleon interaction
• A Two Potential Formula and its Application to Proton-Proton Scattering
• Dominant $2\pi \gamma$-exchange nucleon-nucleon interaction: Spin-spin and tensor potentials