# 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:

- 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}

}