2007/10/19 by Norbert Kaiser, N. Kaiser
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #Chiral perturbation theory #Isobar #Isoscalar #Neutrino #Nuclear physics #Nuclear physics research studies #Nucleon #Observable #Parity (physics) #Particle physics #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #R-parity #nucl-th
paper · pdf · doi:10.1103/physrevc.76.047001
published as Phys.Rev.C76:047001,2007 · 7 pages, 3 figures, 1 table, published in: Phys. Rev. C76. 047001 (2007)
openalex publication_date 2007/10/19 · arxiv created 2007/11/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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_\ensuremathπ^\ensuremath-1\ensuremath≃1.4 fm they amount to about \ifmmode±\else\textpm\fi16% of the parity-violating 1\ensuremathπ exchange potential. We evaluate also the parity-violating effects arising from 2\ensuremathπ exchange with excitation of virtual \ensuremathΔ(1232) isobars. These come out to be relatively small in comparison with those from diagrams with only nucleon intermediate states. The reason for this behavior, which is opposite that of 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\ensuremathπ exchange with the parity-conserving one. The analytical results presented in this work can be easily implemented into calculations of parity-violating nuclear observables.