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The electromagnetic radius of the neutrino is calculated by use of dispersion relations. If an intermediate vector boson is used, $$\left\langle {x^2 } \right\rangle = - 6\frac{{g^2 }}{{2\pi ^2 }}\frac{1}{{3m_B^2 }}\left[ {\log \frac{{m_B^2 }}{{m_1^2 }} + \frac{1}{6}} \right]$$ . If no intermediate vector boson is used, $$\left\langle {x^2 } \right\rangle = - 6\left( {\frac{G}{f}} \right)^2 \frac{1}{{4\pi ^2 }}\left( {\frac{{m_1^2 }}{m}} \right)^2 \frac{1}{{3m_\pi ^2 }}\left[ {\log \frac{{m_\pi ^2 }}{{m_1^2 }} - \frac{4}{3}} \right]$$ .

A theory of the intermediate vector boson is proposed, in which the boson field can be described by a renormalizable Lagrangian in an indefinite-metric space. The circumstances under which an indefinitemetric space can be consistently applied are discussed. It is shown that for very massive bosons (M∼2500 proton masses) the indefinite metric of the space does not conflict with requirements of probability conservation. The coupling constant for the lepton-intermediate boson interaction is approximately given byg 2∼10−1 in this theory.

Cross section for electron and muon neutrino- antineutrino pair production by photons, using intermediate boson theory

A stable neutral meson is described. Strong and weak interactions, and experiments designed to observe this particle are discussed. Finally, it is shown that if a scalar or pseudoscalar boson is odd under charge conjugation, it is stable or extremely long lived in the absence of neutral lepton currents.

An equation of motion for neutrinos in matter is presented. Solutions are obtained for neutrino motion in uniformly rotating current distributions. Implications for stellar neutrino emission are considered.