Summary
We show that bispinor bilinear forms uα(p, s)¯uΒ(p′, s′), uα(p, s)¯vΒ(p′, s′), vα(p, s)¯uΒ(p′, s′), and vα(p, s)¯vΒ (p′, s′) can be expressed up to a phase factor as explicitly covariant foldings of the four-vectors,p, p′ (momenta) ands, s′ (polarizations) with the Dirac gamma-matrices. Using these expressions a complete list of the analytical expressions for the transitional currents of spin-(l /2) particles is derived.
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References
M. I. Krivoruchenko:Yad. Fiz.,47, 1823 (1987).
J. D. Bjorken andS. D. Drell:Relativistic Quantum Mechanics and Relativistic Quantum Fields (McGraw-Hill, New York, N.Y., 1964, 1965).
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Krivoruchenko, M.I., Kudrya, I.V. Explicitly covariant analytical expressions for transitional currents of spin-(1/2) particles. Nuov Cim B 108, 115–121 (1993). https://doi.org/10.1007/BF02874403
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DOI: https://doi.org/10.1007/BF02874403