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Helicity of spin-extended chiral particles

Abstract : The definition of the helicity of a massless relativistic particle as the projection of the spin onto the momentum, ${\chi}^{mom} ={\bf s}\cdot\hat{\bf p}$, is equivalent, in the free case, to defining it as ${\chi}^{vel} ={\bf s}\cdot{\bf v}$, where ${\bf v}$ is the velocity. However when the effective mass induced by the spin-field coupling does not vanish, neither of these expressions is conserved in general except in a pure magnetic field, as is illustrated by the motion of a massless particle with gyromagnetic ratio $g=2$ in a constant pure electric field. Both helicities vary during an initial period, but for $t\to\infty$ both expressions converge to the same constant value.
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Contributor : Christian Duval <>
Submitted on : Wednesday, September 23, 2015 - 2:33:47 PM
Last modification on : Saturday, February 20, 2021 - 3:09:30 AM

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M. Elbistan, Christian Duval, P. A. Horvathy, P. -M. Zhang. Helicity of spin-extended chiral particles. Physics Letters A, Elsevier, 2016, 380 (20), pp.1677-1683. ⟨10.1016/j.physleta.2016.03.016⟩. ⟨hal-01203630⟩



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