Localizability of Tachyonic Particles and Neutrinoless Double Beta Decay

The quantum field theory of superluminal (tachyonic) particles is plagued with a number of problems, which include the Lorentz non-invariance of the vacuum state, the ambiguous separation of the field operator into creation and annihilation operators under Lorentz transformations, and the necessity of a complex reinterpretation principle for quantum processes. Another unsolved question concerns the treatment of subluminal components of a tachyonic wave packets in the field-theoretical formalism, and the calculation of the time-ordered propagator. After a brief discussion on related problems, we conclude that rather painful choices have to be made in order to incorporate tachyonic spin-1/2 particles into field theory. We argue that the field theory needs to be formulated such as to allow for localizable tachyonic particles, even if that means that a slight unitarity violation is introduced into the S matrix, and we write down field operators with unrestricted momenta. We find that once these choices have been made, the propagator for the neutrino field can be given in a compact form, and the left-handedness of the neutrino as well as the right-handedness of the antineutrino follow naturally. Consequences for neutrinoless double beta decay and superluminal propagation of neutrinos are briefly discussed.Comment: 12 pages, 5 figure

s-particle doublets in certain light nuclei

The splitting of an s-particle doublet in B11 is examined to see what information it gives about the effective 1p-2s shell model interaction and it is concluded that the small splitting is explainable by an interaction whose spin dependence is primarily of s1 · s2t1 · t2 nature. Certain other s-doublets of the “hole-particle” typed are considered too and their small splitting appears to show that the spin dependence of the effective n-p interaction between inequivalent nucleons is weaker than normally assumed. A very simple procedure is used to evaluate the interaction energies

s-particle doublets in certain light nuclei

The splitting of an s-particle doublet in B11 is examined to see what information it gives about the effective 1p-2s shell model interaction and it is concluded that the small splitting is explainable by an interaction whose spin dependence is primarily of s1 · s2t1 · t2 nature. Certain other s-doublets of the “hole-particle” typed are considered too and their small splitting appears to show that the spin dependence of the effective n-p interaction between inequivalent nucleons is weaker than normally assumed. A very simple procedure is used to evaluate the interaction energies