Neutrino spin oscillation in screening models revisited

Hammad, Fayçal; Fleury, Nicolas; Sadeghi, Parvaneh

doi:10.1103/physrevd.108.083025

Phys. Rev. D

2023

DOI: 10.1103/physrevd.108.083025

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Neutrino spin oscillation in screening models revisited

Fayçal Hammad,

Nicolas Fleury,

Parvaneh Sadeghi

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2024

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Cited by 2 publications

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Curved-spacetime dynamics of spin- 12 particles in superposed states from a WKB approximation of the Dirac equation

Hammad,

Simard,

Saadati

et al. 2024

Phys. Rev. D

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We investigate the dynamics of spin-12 particles that are freely propagating in superposed states in curved spacetime. We first make use of a Wentzel-Kramers-Brillouin approximation of the Dirac equation in curved spacetime to extract the corresponding Mathisson-Papapetrou-Dixon equations that describe the deviation from geodesic motion as well as the spin precession of such particles. We then discuss, in light of our results, the case of flavor neutrinos which are, by nature, a superposition of mass eigenstates. Published by the American Physical Society 2024

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Curved-spacetime dynamics of spin- 12 particles in superposed states from a WKB approximation of the Dirac equation

Hammad,

Simard,

Saadati

et al. 2024

Phys. Rev. D

View full text Add to dashboard Cite

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Dynamics on a submanifold: intermediate formalism versus Hamiltonian reduction of Dirac bracket, and integrability

Deriglazov

2024

Eur. Phys. J. C

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We consider the Lagrangian dynamical system forced to move on a submanifold $$G_\alpha (q^A)=0$$ G α ( q A ) = 0 . If for some reason we are interested in knowing the dynamics of all original variables $$q^A(t)$$ q A ( t ) , the most economical would be a Hamiltonian formulation on the intermediate phase-space submanifold spanned by reducible variables $$q^A$$ q A and an irreducible set of momenta $$p_i$$ p i , $$[i]=[A]-[\alpha ]$$ [ i ] = [ A ] - [ α ] . We describe and compare two different possibilities for establishing the Poisson structure and Hamiltonian dynamics on an intermediate submanifold: Hamiltonian reduction of the Dirac bracket and intermediate formalism. As an example of the application of intermediate formalism, we deduce on this basis the Euler–Poisson equations of a spinning body, establish the underlying Poisson structure, and write their general solution in terms of the exponential of the Hamiltonian vector field.

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Neutrino spin oscillation in screening models revisited

Cited by 2 publications

References 53 publications

Curved-spacetime dynamics of spin- 12 particles in superposed states from a WKB approximation of the Dirac equation

Curved-spacetime dynamics of spin- 12 particles in superposed states from a WKB approximation of the Dirac equation

Dynamics on a submanifold: intermediate formalism versus Hamiltonian reduction of Dirac bracket, and integrability

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