A Solution to LSND's Second Puzzle

COFFEE_KLATCH · Invited

Abstract

We present a calculation of the $^{12}C(\nu_{\mu},\mu^{-})^{12}N^{*}$ flux-averaged, inclusive cross section from the Liquid Scintillator Neutrino Detector. The calculation is based upon a relativistic Fermi gas model that has been corrected for long range correlation and binding energy effects. The long range correlation effects are introduced via a non-local, momentum dependent potential in the kinematics of the lepton-nucleon vertex. The potential parameters, most importantly the effective mass $M^{*} = M_{nucleon}/1.4$, have been tuned to match electron scattering data in the appropriate energy range. The binding energy appropriate for $^{12}N$, 27 MeV, is used in stead of the traditional 25 MeV found from the electron data. The result agrees well with the LSND measurement of $10.5\times 10^{-40} cm^{2}$. The calculation makes up for its lack of theoretical rigor in its intuitive simplicity and reliance on well established electron scattering measurements.

Authors

  • Geoffrey Mills

    Los Alamos