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Neutrino propagation in an electron background with an inhomogeneous magnetic field
Ist Teil von
The European physical journal. C, Particles and fields, 2018-07, Vol.78 (7), p.1-17, Article 547
Ort / Verlag
Berlin/Heidelberg: Springer Berlin Heidelberg
Erscheinungsjahr
2018
Quelle
Alma/SFX Local Collection
Beschreibungen/Notizen
We study the electromagnetic coupling of a neutrino that propagates in a two-stream electron background medium. Specifically, we calculate the electromagnetic vertex function for a medium that consists of a
normal
electron background plus another electron
stream
background that is moving with a velocity four-vector
v
μ
relative to the normal background. The results can be used as the basis for studying the neutrino electromagnetic properties and various processes in such a medium. As an application, we calculate the neutrino dispersion relation in the presence of an external magnetic field (
B
), focused in the case in which
B
is inhomogeneous, keeping only the terms of the lowest order in
1
/
m
W
2
and linear in the
B
and its gradient. We show that the dispersion relation contains additional anisotropic terms involving the derivatives of
B
, such as the gradient of
k
^
·
(
v
×
B
)
, which involve the stream background velocity, and a term of the form
k
^
·
(
∇
×
B
)
that can be present in the absence of the stream background, in addition to a term of the form
k
^
·
v
and the well known term
k
^
·
B
that arises in the constant
B
case. The derivative-dependent terms are even under a
CP
transformation. As a result, in contrast to the latter two just mentioned, they depend on the sum of the particle and antiparticle densities and therefore can be non-zero in a
CP
-symmetric medium in which the particle and antiparticle densities are equal.