Zero mass field with the spin 3/2: solutions of the wave equation and the helicity operator
https://doi.org/10.29235/1561-2430-2019-55-3-338-354
Abstract
The wave equation for the vector bispinor Ψa(x), which describes a zero mass spin 3/2 particle in the Rarita – schwinger form, is transformed into a new basis of Ψa(x), in which the gauge symmetry in the theory becomes evident: there exist solutions in the form of the 4-gradient of an arbitrary bispinor Ψa0(x) = ∂аΨ(x), For 16-component equation in this new basis, two independent solutions are constructed in explicit form, which do not contain any gauge constituents. Zero mass solutions are transformed into linear combinations of helicity states, the derived formulas contain the terms with all helicities σ = ±1/2, ±3/2.
About the Authors
A. V. Ivashkevich
B. I. Stepanov Institute of Physics of the National Academy of Sciences of Belarus
Belarus
Belarus
Alina V. Ivashkevich – Master Student
68-2, Nezavisimosti Ave., 220072, Minsk, Republic of Belarus
E. M. Ovsiyuk
Mozyr State Pedagogical University named after I. P. Shamyakin
Belarus
Belarus
Еlena М. Оvsiyuk – Ph. D. (Physics and Mathematics), Assistant Professor
28, Studencheskaya Str., 247760, Mozyr, Gomel region, Republic of Belarus
V. M. Red’kov
B. I. Stepanov Institute of Physics of the National Academy of Sciences of Belarus
Belarus
Belarus
Viktor M. Red’kov – Dr. Sc. (Physics and Mathematics), Chief Researcher of the Center “Fundamental Interactions and Astrophysics”
68-2, Nezavisimosti Ave., 220072, Minsk, Republic of Belarus
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