dorsal/arxiv
View SchemaThe Nucleon-Mass Difference in Chiral Perturbation Theory and Nuclear Forces
| Authors | J. L. Friar, U. van Kolck, M. C. M. Rentmeester, R. G. E. Timmermans |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0406026 |
| URL | https://arxiv.org/abs/nucl-th/0406026 |
| DOI | 10.1103/PhysRevC.70.044001 |
| Journal | Phys.Rev.C70:044001,2004 |
Abstract
A new 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 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 novel three-body force is also found. Problems involving Galilean invariance with Class IV one-pion-exchange forces are identified and resolved.
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"abstract": "A new method is developed for treating the effect of the neutron-proton mass\ndifference in isospin-violating nuclear forces. Previous treatments utilized an\nawkward subtraction scheme to generate these forces. A field redefinition is\nused to remove that mass difference from the Lagrangian (and hence from\nasymptotic nucleon states) and replace its effect by effective interactions.\nPrevious calculations of static Class II charge-independence-breaking and Class\nIII charge-symmetry-breaking potentials are verified using the new scheme,\nwhich is also used to calculate Class IV nuclear forces. Two-body forces of the\nlatter type are found to be identical to previously obtained results. A novel\nthree-body force is also found. Problems involving Galilean invariance with\nClass IV one-pion-exchange forces are identified and resolved.",
"arxiv_id": "nucl-th/0406026",
"authors": [
"J. L. Friar",
"U. van Kolck",
"M. C. M. Rentmeester",
"R. G. E. Timmermans"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.70.044001",
"journal_ref": "Phys.Rev.C70:044001,2004",
"title": "The Nucleon-Mass Difference in Chiral Perturbation Theory and Nuclear Forces",
"url": "https://arxiv.org/abs/nucl-th/0406026"
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