41 research outputs found
On radiative muon capture in hydrogen
We analyze photon spectra in the radiative muon capture in hydrogen using
amplitudes derived from chiral Lagrangians. The model can describe the high
energy part of the photon spectra, measured recently at TRIUMF, reasonably
well.Comment: extended version, 31 pages, 7 figures, LaTeX, Feynman, submitted to
Phys. Rev.
Interactions of the solar neutrinos with the deuterons
Starting from chiral Lagrangians, possessing the SU(2)_L x SU(2)_R local
chiral symmetry, we derive weak axial one-boson exchange currents in the
leading order in the 1/M expansion (M is the nucleon mass). We apply these
currents in calculations of the cross sections for the disintegration of the
deuterons by the low energy neutrinos. The nuclear wave functions are derived
from a variant of the OBEPQB potential and from the Nijmegen 93 and Nijmegen I
nucleon-nucleon interactions. The comparison of our cross sections with those
obtained within the pionless effective field theory and other potential model
calculations shows that the solar neutrino-deuteron cross sections can be
calculated within an accuracy of 3.3 %.Comment: 6 pages, 1 figure, 6 tables, conference tal
Chiral Lagrangians and the transition amplitude for radiative muon capture
The transition operator for the radiative capture of mesons mu minus by
protons is constructed starting from a chiral Lagrangian of the
N-pi-rho-a_1-omega system obtained within the approach of hidden local
symmetries. The transition operator is gauge invariant and satisfies exactly
the CVC and PCAC equations.Comment: 11 pages, 1 figure, LaTex, feynman, submitted to Few-Body System
Model dependence of the neutrino-deuteron disintegration cross sections at low energies
Model dependence of the reaction rates for the weak breakup of deuterons by
low energy neutrinos is studied starting from the cross sections derived from
potential models and also from pionless effective field theory. Choosing the
spread of the reaction yields, caused basically by the different ways the
two-body currents are treated, as a measure of the model dependent uncertainty,
we conclude that the breakup reactions are 2 - 3 % uncertain, and that
even the ratio of the charged to neutral current reaction rates is also
2 % uncertain.Comment: 13 pages, 1 figure, 6 tables, version published in Phys. Rev. C 75,
044610 (2007