1,466 research outputs found
Evolution of Mixed Dirac Particles Interacting with an External Magnetic Field
We study in the framework of relativistic quantum mechanics the evolution of
a system of two Dirac neutrinos that mix with each other and have non-vanishing
magnetic moments. The dynamics of this system in an external magnetic field is
determined by solving the Pauli-Dirac equation with a given initial condition.
We consider first neutrino spin-flavor oscillations in a constant magnetic
field and derive an analytical expression for the transition probability of
spin-flavor conversion in the limit of small magnetic interactions. We then
investigate ultrarelativistic neutrinos in an transversal magnetic field and
derive their wave functions and transition probabilities with no limitation for
the size of transition magnetic moments. Although we consider neutrinos, our
formalism is straightforwardly applicable to any spin-1/2 particles.Comment: 10 pages, 1 eps figure, RevTeX4; new appendix devoted to quantum
mechanical treatment of neutrino spin-flavor oscillations was added; final
variant to be published in Phys. Lett.
Neutrino spin oscillations in gravitational fields
We study neutrino spin oscillations in gravitational fields. The
quasi-classical approach is used to describe the neutrino spin evolution. First
we examine the case of a weak gravitational field. We obtain the effective
Hamiltonian for the description of neutrino spin oscillations. We also receive
the neutrino transition probability when a particle propagates in the
gravitational field of a rotating massive object. Then we apply the general
technique to the description of neutrino spin oscillations in the Schwarzschild
metric. The neutrino spin evolution equation for the case of the neutrino
motion in the vicinity of a black hole is obtained. The effective Hamiltonian
and the transition probability are also derived. We examine the neutrino
oscillations process on different circular orbits and analyze the frequencies
of spin transitions. The validity of the quasi-classical approach is also
considered.Comment: RevTeX4, 9 pages, 1 esp figure; article was revised, some misprints
were corrected, 6 references added; accepted for publication in
Int.J.Mod.Phys.
Relaxation of the chiral imbalance in dense matter of a neutron star
Using the quantum field theory methods, we calculate the helicity flip of an
electron scattering off protons in dense matter of a neutron star. The
influence of the electroweak interaction between electrons and background
nucleons on the helicity flip is examined. We also derive the kinetic equation
for the chiral imbalance. The derived kinetic equation is compared with the
results obtained by other authors.Comment: 8 pages in pdflatex, EPJ Web of Conferences latex style; contribution
to proceedings of Quarks-201
Attractive interaction between ions inside a quantum plasma structure
We construct the model of a quantum spherically symmetric plasma structure
based on radial oscillations of ions. We suppose that ions are involved in
ion-acoustic plasma oscillations. We find the exact solution of the
Schr\"{o}dinger equation for an ion moving in the self-consistent oscillatory
potential of an ion-acoustic wave. The system of ions is secondly quantized and
its ground state is constructed. Then we consider the interaction between ions
by the exchange of an acoustic wave. It is shown that this interaction can be
attractive. We describe the formation of pairs of ions inside a plasma
structure and demonstrate that such a plasmoid can exist in a dense
astrophysical medium corresponding to the outer core of a neutron star.Comment: 17 pages, two columns, 3 figures, PDF LaTeX; paper was significantly
revised, Appendix was shortened, new astrophysical application was discussed;
version accepted for publication in J. Plasma Phy
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