Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2010-11-26
Physics
Nuclear Physics
Nuclear Theory
46 pages, 17 figures, 2 tables, LaTeX2e and REVTeX
Scientific paper
Neutrino-induced pion and photon production from nucleons and nuclei are important for the interpretation of neutrino-oscillation experiments, and these processes are potential backgrounds in the MiniBooNE experiment [A. A. Aquilar-Arevalo \textit{et al.} (MiniBooNE Collaboration), Phys.\ Rev.\ Lett.\ {\bf 100}, 032301 (2008)]. Pion and photon production are investigated at intermediate energies, where the $\Delta$ resonance becomes important. The Lorentz-covariant effective field theory contains nucleons, pions, Deltas, isoscalar scalar ($\sigma$) and vector ($\omega$) fields, and isovector vector ($\rho$) fields. The lagrangian exhibits a nonlinear realization of (approximate) $SU(2)_L \otimes SU(2)_R$ chiral symmetry and incorporates vector meson dominance. Power counting for vertices and Feynman diagrams involving the $\Delta$ is explained. Because of the built-in symmetries, the vector currents are automatically conserved, and the axial-vector currents satisfy PCAC. The irrelevance of so-called off-shell $\Delta$ couplings and the structure of the dressed $\Delta$ propagator, which has a pole only in the spin-3/2 channel, are discussed. To calibrate the axial-vector transition current $(N\! \leftrightarrow \Delta)$, pion production from the nucleon is used as a benchmark and compared to bubble-chamber data from Argonne and Brookhaven National Laboratories. At low energies, the convergence of our power-counting scheme is investigated, and next-to-leading-order tree-level corrections are found to be very small.
Serot Brian D.
Zhang Xilin
No associations
LandOfFree
Weak Pion and Photon Production off Nucleons in a Chiral Effective Field Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Weak Pion and Photon Production off Nucleons in a Chiral Effective Field Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Weak Pion and Photon Production off Nucleons in a Chiral Effective Field Theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-588949