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

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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 πN contact-vertex proportional to the large low-energy constant c3. We find that the respective 2πγ-exchange potential contains sizable isospin-breaking components which amount to about -1% of the strongly attractive isoscalar central 2π-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=mπ-1=1.4 fm. Our analytical result for this dominant 2πγ-exchange interaction is in a form such that it can be easily implemented into phase-shift analyses and few-body calculations.

Original languageEnglish
Article number064003
JournalPhysical Review C - Nuclear Physics
Volume73
Issue number6
DOIs
StatePublished - 2006

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