Generalized Gordon Identities, Hara Theorem and Weak Radiative Hyperon Decays

It is shown that an alternative form of the parity-nonconserving (PNC) transition electromagnetic current resolves partly a puzzle with the Hara theorem. New formulation of it has allowed PNC weak radiative hyperon transitions of the charged hyperons $\Sigma^{+} \Rightarrow p + \gamma$ and $\Xi^{-} \Rightarrow \Sigma^{-} + \gamma$ revealing hitherto unseen transition toroid dipole moment.Comment: LaTex, 7 pages, 2 tables added, text also change

The Toroid Moment of Majorana Neutrino

If neutrino is the Majorana particle it can possess only one electromagnetic characteristic, the toroid dipole moment (anapole) in the static limit and nothing else. We have calculated the diagonal toroid moment (form factor) of the Majorana neutrino by the dispersion method in the one-loop approximation of the Standard Model and found it to be different from zero in the case of massive as well as massless neutrinos. All external particles are on the mass shells and there are no problems with the physical interpretation of the final result. Some manifestations of the toroid interactions of Majorana neutrinos, induced by their toroid moments, are also remarked.Comment: 22 pages, 1 table and 3 EPS-figures included, uses prd.sty, preprint.sty, aps.sty and epsfig.sty (RevTeX is used), major conceptual changes of E2-96-53 are include

Transition Radiation of the Neutrino Toroid Dipole Moment

We discuss the transition radiation of a neutrino induced by its toroid dipole moment (τ) when crossing the interface between two different media with different refraction indices. A neutrino of 1 MeV energy emits approximately 10 −40 keV at τ = e √ 2GF/π 2. This effect depends very slightly on the neutrino mass and has a finite value in the massless limit. I