Parity-violating two-pion exchange nucleon-nucleon interaction

Abstract

We calculate in chiral perturbation theory the parity-violating two-pion exchange nucleon-nucleon potentials at leading one-loop order. At a distance of $r=m_{\pi }^{-1}\simeq 1.4$fm they amount to about $\pm 16$ of the parity-violating $1\pi$-exchange potential. We evaluate also the parity-violating effects arising from $2\pi$-exchange with excitation of virtual $\Delta (1232)$-isobars. These come out to be relatively small in comparison to those from diagrams with only nucleon intermediate states. The reason for this opposite behavior to the parity-conserving case is the blocking of the dominant isoscalar central channel by CP-invariance. Furthermore, we calculate the T-matrix related to the iteration of the parity-violating $1\pi$-exchange with the parity-conserving one. The analytical results presented in this work can be easily implemented into calculations of parity-violating nuclear observables.

7 pages, 3 figures, 1 table, published in: Phys. Rev. C76. 047001 (2007)

References in corpus (7)

• Peripheral NN-Scattering: Role of Delta-Excitation, Correlated Two-Pion and Vector Meson Exchange
• Nuclear Parity-Violation in Effective Field Theory
• Hadronic Parity Violation: a New View through the Looking Glass
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• Hadronic parity violation in $\vec{n}p\to d\gamma$ with effective field theory
• Electromagnetic corrections to the dominant two-pion exchange nucleon-nucleon potential
• Two-pion-exchange parity-violating potential and $\vec{n}p\to d\gamma$

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