Inverse beta decay of arbitrarily polarized neutrons in a magnetic field

In this work we calculate the neutrino self-energy in presence of a magnetized medium. The magnetized medium consists of electrons, positrons, neutrinos and a uniform classical magnetic field. The calculation is done assuming the background magnetic field is weak compared to the W -Boson mass squared, as a consequence of which only linear order corrections in the field are included in the W boson propagator. The electron propagator consists all order corrections in the background field. Although the neutrino self-energy in a magnetized medium in various limiting cases has been calculated previously in this article we produce the most general expression of the self-energy in absence of the Landau quantization of the charged gauge fields. We calculate the effect of the Landau quantization of the charged leptons on the neutrino self-energy in the general case. Our calculation is specifically suited for situations where the background plasma may be CP symmetric.

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“…Using the above formulas for integrating the parameter s in Eq. (38) and utilizing the fact that for leptons in the magnetized medium [16]:…”

Section: The W -Exchange Diagrammentioning

confidence: 99%

The Neutrino Self-Energy in a Magnetized Medium

2008

Self Cite

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“…[38,39] for the cross section do not coincide with corresponding results of ref. [40]. There are also some discrepancies in the figures of ref.…”

Section: Introductionmentioning

confidence: 86%

Relativistic theory of inverse beta-decay of polarized neutron in strong magnetic field

Shinkevich

Studenikin

2005

Pramana - J Phys

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The relativistic theory of the inverse beta-decay of polarized neutron, ν e +n → p+e − , in strong magnetic field is developed. For the proton wave function we use the exact solution of the Dirac equation in the magnetic filed that enables us to account exactly for effects of the proton momentum quantization in the magnetic field and also for the proton recoil motion. The effect of nucleons anomalous magnetic moments in strong magnetic fields is also discussed. We examine the cross section for different energies and directions of propagation of the initial neutrino accounting for neutrons polarization. It is shown that in the superstrong magnetic field the totally polarized neutron matter is transparent for neutrinos propagating antiparallel to the direction of polarization. The developed relativistic approach can be used for calculations of cross sections of the other URCA processes in strong magnetic fields.

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“…We note that, except for the rescaling inẼ f ν , the equation above is the one usually found in the literature. Analogously, from the exact solution of (8) [23] for the electron we have:…”

Section: A Effective Lagrangianmentioning

confidence: 99%

Compact stars with strongly coupled quark matter in a strong magnetic field

et al. 2016

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Some time ago we have derived from the QCD Lagrangian an equation of state (EOS) for the cold quark matter, which can be considered an improved version of the MIT bag model EOS.Compared to the latter, our equation of state reaches higher values of the pressure at comparable baryon densities. This feature is due to perturbative corrections and also to non-perturbative effects. Later we applied this EOS to the study of compact stars, discussing the absolute stability of quark matter and computing the mass-radius relation for self-bound (strange) stars. We found maximum masses of the sequences with more than two solar masses, in agreement with the recent experimental observations. In the present work we include the magnetic field in the equation of state and study how it changes the stability conditions and the mass-radius curves.

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Inverse beta decay of arbitrarily polarized neutrons in a magnetic field

Cited by 27 publications

References 7 publications

The Neutrino Self-Energy in a Magnetized Medium

The Neutrino Self-Energy in a Magnetized Medium

Relativistic theory of inverse beta-decay of polarized neutron in strong magnetic field

Compact stars with strongly coupled quark matter in a strong magnetic field

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