skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Dominant 2{pi}{gamma}-exchange nucleon-nucleon interaction: Spin-spin and tensor potentials

Abstract

We calculate at two-loop order in chiral perturbation theory the electromagnetic corrections to the two-pion exchange nucleon-nucleon interaction that is generated by the isovector spin-flip {pi}{pi}NN contact-vertex proportional to the large low-energy constant c{sub 4}{approx_equal}3.4 GeV{sup -1}. We find that the respective 2{pi}{gamma}-exchange potentials contain sizable isospin-breaking components which reach up to -4% of corresponding isovector 2{pi}-exchange potentials. The typical values of these novel charge-independence breaking spin-spin and tensor potentials are -0.11 and 0.09 MeV, at a nucleon distance of r=m{sub {pi}}{sup -1}=1.4 fm. The charge-symmetry breaking spin-spin and tensor potentials come out a factor of 2.4 smaller. Our analytical results for these presumably dominant isospin-violating spin-spin and tensor NN-forces are in a form such that they can be easily implemented into phase-shift analyses and few-body calculations.

Authors:
 [1]
  1. Physik Department T39, Technische Universitaet Muenchen, D-85747 Garching (Germany)
Publication Date:
OSTI Identifier:
20864247
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 74; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevC.74.067001; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CHARGE INDEPENDENCE; CHIRALITY; CORRECTIONS; DISTANCE; ISOSPIN; ISOVECTORS; MEV RANGE; NUCLEON-NUCLEON INTERACTIONS; NUCLEONS; PERTURBATION THEORY; PHASE SHIFT; PIONS; POTENTIALS; SPIN; SPIN FLIP; SYMMETRY BREAKING

Citation Formats

Kaiser, N. Dominant 2{pi}{gamma}-exchange nucleon-nucleon interaction: Spin-spin and tensor potentials. United States: N. p., 2006. Web. doi:10.1103/PHYSREVC.74.067001.
Kaiser, N. Dominant 2{pi}{gamma}-exchange nucleon-nucleon interaction: Spin-spin and tensor potentials. United States. doi:10.1103/PHYSREVC.74.067001.
Kaiser, N. Fri . "Dominant 2{pi}{gamma}-exchange nucleon-nucleon interaction: Spin-spin and tensor potentials". United States. doi:10.1103/PHYSREVC.74.067001.
@article{osti_20864247,
title = {Dominant 2{pi}{gamma}-exchange nucleon-nucleon interaction: Spin-spin and tensor potentials},
author = {Kaiser, N.},
abstractNote = {We calculate at two-loop order in chiral perturbation theory the electromagnetic corrections to the two-pion exchange nucleon-nucleon interaction that is generated by the isovector spin-flip {pi}{pi}NN contact-vertex proportional to the large low-energy constant c{sub 4}{approx_equal}3.4 GeV{sup -1}. We find that the respective 2{pi}{gamma}-exchange potentials contain sizable isospin-breaking components which reach up to -4% of corresponding isovector 2{pi}-exchange potentials. The typical values of these novel charge-independence breaking spin-spin and tensor potentials are -0.11 and 0.09 MeV, at a nucleon distance of r=m{sub {pi}}{sup -1}=1.4 fm. The charge-symmetry breaking spin-spin and tensor potentials come out a factor of 2.4 smaller. Our analytical results for these presumably dominant isospin-violating spin-spin and tensor NN-forces are in a form such that they can be easily implemented into phase-shift analyses and few-body calculations.},
doi = {10.1103/PHYSREVC.74.067001},
journal = {Physical Review. C, Nuclear Physics},
number = 6,
volume = 74,
place = {United States},
year = {Fri Dec 15 00:00:00 EST 2006},
month = {Fri Dec 15 00:00:00 EST 2006}
}