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

2006/05/19 by Norbert Kaiser, N. Kaiser · 11 citations
Physics and Astronomy · #Atomic and Molecular Physics #Charge (physics) #Chiral perturbation theory #Chiral symmetry breaking #Isoscalar #Isospin #Nuclear physics #Nuclear physics research studies #Nucleon #Particle physics #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Symmetry breaking #nucl-th

paper · pdf · doi:10.1103/physrevc.73.064003

published in Physical Review C 73(6) (American Institute of Physics) · 7 pages, 1 figure, to be published in Physical Review C (2006): Brief Reports

arxiv created 2006/05/19 · openalex publication_date 2006/06/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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

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