Nucleon-mass difference in chiral perturbation theory and nuclear forces

J. L. Friar, U. Van Kolck, M. C.M. Rentmeester, R. G.E. Timmermans

Research output: Contribution to journalArticlepeer-review

39 Scopus citations


A method is developed for treating the effect of the neutron-proton mass difference in isospin-violating nuclear forces. Previous treatments utilized an awkward subtraction scheme to generate these forces. A field redefinition is used to remove that mass difference from the free Lagrangian (and hence from asymptotic nucleon states) and replace its effect by effective interactions. Previous calculations of static class II charge-independence-breaking and class III charge-symmetry-breaking potentials are verified using the new scheme, which is also used to calculate class IV nuclear forces. Two-body forces of the latter type are found to be identical to previously obtained results. A three-body force is also found. Problems involving Galilean invariance with class IV one-pion-exchange forces are identified and resolved.

Original languageEnglish (US)
Article number044001
Pages (from-to)044001-1-044001-9
JournalPhysical Review C - Nuclear Physics
Issue number4
StatePublished - Oct 2004

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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