Dominant 2{pi}{gamma}exchange nucleonnucleon interaction: Spinspin and tensor potentials
Abstract
We calculate at twoloop order in chiral perturbation theory the electromagnetic corrections to the twopion exchange nucleonnucleon interaction that is generated by the isovector spinflip {pi}{pi}NN contactvertex proportional to the large lowenergy constant c{sub 4}{approx_equal}3.4 GeV{sup 1}. We find that the respective 2{pi}{gamma}exchange potentials contain sizable isospinbreaking components which reach up to 4% of corresponding isovector 2{pi}exchange potentials. The typical values of these novel chargeindependence breaking spinspin 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 chargesymmetry breaking spinspin and tensor potentials come out a factor of 2.4 smaller. Our analytical results for these presumably dominant isospinviolating spinspin and tensor NNforces are in a form such that they can be easily implemented into phaseshift analyses and fewbody calculations.
 Authors:
 Physik Department T39, Technische Universitaet Muenchen, D85747 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; NUCLEONNUCLEON INTERACTIONS; NUCLEONS; PERTURBATION THEORY; PHASE SHIFT; PIONS; POTENTIALS; SPIN; SPIN FLIP; SYMMETRY BREAKING
Citation Formats
Kaiser, N. Dominant 2{pi}{gamma}exchange nucleonnucleon interaction: Spinspin and tensor potentials. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVC.74.067001.
Kaiser, N. Dominant 2{pi}{gamma}exchange nucleonnucleon interaction: Spinspin and tensor potentials. United States. doi:10.1103/PHYSREVC.74.067001.
Kaiser, N. Fri .
"Dominant 2{pi}{gamma}exchange nucleonnucleon interaction: Spinspin and tensor potentials". United States.
doi:10.1103/PHYSREVC.74.067001.
@article{osti_20864247,
title = {Dominant 2{pi}{gamma}exchange nucleonnucleon interaction: Spinspin and tensor potentials},
author = {Kaiser, N.},
abstractNote = {We calculate at twoloop order in chiral perturbation theory the electromagnetic corrections to the twopion exchange nucleonnucleon interaction that is generated by the isovector spinflip {pi}{pi}NN contactvertex proportional to the large lowenergy constant c{sub 4}{approx_equal}3.4 GeV{sup 1}. We find that the respective 2{pi}{gamma}exchange potentials contain sizable isospinbreaking components which reach up to 4% of corresponding isovector 2{pi}exchange potentials. The typical values of these novel chargeindependence breaking spinspin 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 chargesymmetry breaking spinspin and tensor potentials come out a factor of 2.4 smaller. Our analytical results for these presumably dominant isospinviolating spinspin and tensor NNforces are in a form such that they can be easily implemented into phaseshift analyses and fewbody 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}
}

Twopionexchange (TPE) nucleonnucleon potentials are derived for one or two {Delta} isobars in the intermediate states. Strong dynamical pair suppression is assumed. At the {ital NN}{pi} and the {ital N}{Delta}{pi} vertices Gaussian form factors are incorporated into the relativistic twobody framework by using a dispersion representation for the onepionexchange amplitudes. The Fourier transformations are performed using factorization techniques for the energy denominators, taking into account the mass difference between the nucleon and the {Delta} isobar. Analytic expressions for the TPE potentials are obtained, which contain at most onedimensional integrals. The TPE potentials are first calculated up to orders ({ital f}{submore »

The {pi}N interaction and 2{pi}exchange three nucleon
The authors compare the {pi}N scattering amplitudes which underlie 2{pi}exchange threenucleon forces (TBFs) with the experimental {pi}N amplitudes. The amplitudes of the TucsonMelbourne and Brazil TBFs when taken onpionmassshell predict scattering lengths at threshold and phase shifts (slightly) above threshold which are in good agreement with the experimental amplitudes, except for the Swaves. Partial wave amplitudes from separable potentials, recently employed in a 2{pi}TBF calculation, were continued below threshold, summed into invariant amplitudes, and compared with the experimental amplitudes in this kinematic region which is most relevant to the kinematics of TBFs. The separable potential invariant amplitudes, in contrast tomore » 
Delta. sub 33 isobar contribution to the soft nucleonnucleon potentials. II. pi. rho. exchange potentials
Pionrhoexchange nucleonnucleon potentials are derived for one or two {Delta} isobars in the intermediate states. As in the companion work on twopion exchange, strong dynamical pair suppression is assumed. At the {ital NN}{pi}, {rho} and {ital N}{Delta}{pi}, {rho} vertices Gaussian form factors are incorporated into the relativistic twobody framework by using a dispersion representation for the {pi} and {rho}exchange amplitudes. The Fourier transformations are performed using factorization techniques for the energy denominators, taking into account the mass difference between the nucleon and the {Delta} isobar. The potentials are calculated in the adiabatic approximation of all planar and crossed threedimensional momentumspacemore » 
Contributin to the Study of *pi/*SUP /+p*right arrow/*pi/*SUP 0/+n and *pi/ *SUP /+p*right arrow/*pi/*SUP0/+*pi/*SUP 0/+ n Reactions at the Energies of the Maxima of the *pi/*SUP /Nucleon Interaction in the T = 1/2 State Total Cross Section (theses); CONTRIBUTION A L'ETUDE DES REACTIONS $pi$ + p $Yields$$pi$$sup 0$ + n$pi$$sup $+p$Yields$$pi$$sup 0$+$pi$$sup 0$+n AUX ENERGIES DES MAXIMA DE LA SECTION EFFICACE TOTALE DE L'INTERACTION $pi$NUCLEON DANS L'ETAT DE SPIN ISOBARIQUE T = 1/2 (THESESe
>The total cross sections for processes yielding only neutral particles from 300 to 1600 Mev were determined. For this, the number of incident n was counted, which interact in a liquidhydrogen target without giving charged particles in a 4 x counter surrounding the target. The reactions pi + p yields pi /sup / no + n between 300 and 1100 Mev were separated. By supposing that only these two reactions were realized by placing lead absorbers between the target and 4 pi counter and by comparing the counting rate for neutral events with and without lead. The transmission raeasured ismore »