Leading-order 2πγ exchange NN interaction: Central potentials proportional to gA0 and gA2

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Abstract

We calculate at two-loop order in chiral perturbation theory the electromagnetic corrections to the leading-order 2π exchange NN interaction proportional to gA0 and gA2. The resulting 2πγ exchange potential contains isospin-breaking components which reach up to about -2% of the corresponding isovector 2π exchange potential. With a value of only -17keV at r = mπ-1 = 1.4fm the charge-independence breaking central potential obtained here is negligibly small in comparison to the one generated by the isoscalar c 3 contact vertex. Our calculation confirms that the largest long-range isospin-violating NN potentials arise from the 2πγ exchange diagrams involving the large low-energy constants c4 ≃ -c 3 ≃ 3.3GeV-1 representing the important Δ(1232) dynamics.

Original languageEnglish
Pages (from-to)207-212
Number of pages6
JournalEuropean Physical Journal A
Volume31
Issue number2
DOIs
StatePublished - Feb 2007

Keywords

  • 12.20.Ds Specific calculations
  • 13.40.Ks Electromagnetic corrections to strong- and weak-interaction processes
  • 21.30.Cb Nuclear forces in vacuum

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