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Neutrino reactions in deuterium in the elementary-particle model and the axial-vector-current form factor

1974; American Physical Society; Volume: 10; Issue: 9 Linguagem: Inglês

10.1103/physrevd.10.3017

1538-4500

S. L. Mintz,

Quantum, superfluid, helium dynamics

The differential cross sections for the reactions ${\ensuremath{\nu}}_{\ensuremath{\mu}}+d\ensuremath{\rightarrow}p+p+{\ensuremath{\mu}}^{\ensuremath{-}}$ and ${\overline{\ensuremath{\nu}}}_{e}+d\ensuremath{\rightarrow}n+n+{e}^{+}$ are calculated in the forward direction from threshold to ${E}_{\ensuremath{\nu}}=10$ GeV. The differential cross sections are found to be of the form $\frac{d\ensuremath{\sigma}}{d\ensuremath{\Omega}}=\ensuremath{\beta}({E}_{\ensuremath{\nu}}){{E}_{\ensuremath{\nu}}}^{2}$, where $\ensuremath{\beta}({E}_{\ensuremath{\nu}})$ is a slowly increasing function. It is shown that most of the contributions to $\frac{d\ensuremath{\sigma}}{d\ensuremath{\Omega}}$ come from the region of small ${q}^{2}$ and that to a good approximation ${F}_{A}({q}^{2}\ensuremath{\sim}0)$ can be obtained from $\frac{d\ensuremath{\sigma}}{d\ensuremath{\Omega}}$ at large ${E}_{\ensuremath{\nu}}$.