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Electron-Positron Annihilation in Ultra-Strong Magnetic Fields. Comparison of One- and Two-Photon Annihilation at Middly Relativistic Regime

100%
Lewicka S.
Acta Physica Polonica A
|
2014
|
vol. 125
|
issue 3
688-690
EN
We consider the one- and two-photon e^+e^- annihilation processes in an ultra-strong magnetic field, at middly relativistic regime. Such conditions are reached in neutron stars and especially in magnetars, where electrons and positrons flow within the magnetar corona with average momenta of the order of pım m_0c, where m_0 - electron mass, c - light speed. We pay special attention to the ratio of the total annihilation rates of both processes. The well-known result is that in the limit p → 0 and for magnetic induction above the critical Schwinger value B_0=4.41× 10^9 T, one-photon annihilation dominates over the two-photon process. Results presented in this article verify the current knowledge about this ratio in magnetars; the calculations indicate that for particles moving with middly relativistic momenta both processes can be equally important.
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From the Hamiltonian to the Lagrangean formalism for 1-reducible theories. The Freedman-Townsend model

100%
Constantinescu R., Ionescu C.
Open Physics
|
2006
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vol. 4
|
issue 4
511-521
EN
The paper presents a possible path to the sp(3) BRST Lagrangean formalism for a 1-reducible gauge field theory starting from the Hamiltonian one. This appears to be not at all a trivial attempt and will allow explanation of the structure of generators and the form of the master equations in the Lagrangean sp(3) theories. The Freedman-Townsend model, for which a Lagrangean (covariant) sp(3) theory is important, is presented.
3
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Variational wave equations of two fermions interacting via scalar, pseudoscalar, vector, pseudovector and tensor fields

63%
Duviryak A., Darewych J.
Open Physics
|
2005
|
vol. 3
|
issue 4
467-483
EN
We consider a method for deriving relativistic two-body wave equations for fermions in the coordinate representation. The Lagrangian of the theory is reformulated by eliminating the mediating fields by means of covariant Green's functions. Then, the nonlocal interaction terms in the Lagrangian are reduced to local expressions which take into account retardation effects approximately. We construct the Hamiltonian and two-fermion states of the quantized theory, employing an unconventional “empty” vacuum state, and derive relativistic two-fermion wave equations. These equations are a generalization of the Breit equation for systems with scalar, pseudoscalar, vector, pseudovector and tensor coupling.
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