37,665 research outputs found
Improved Young and Heinz inequalities with the Kantorovich constant
In this article, we study the further refinements and reverses of the Young
and Heinz inequalities with the Kantorovich constant. These modified
inequalities are used to establish corresponding operator inequalities on
Hilbert space and Hilbert-Schmidt norm inequalities.Comment: 11 page
Effect of interaction with neutrons in matter on flavor conversion of super-light sterile neutrino with active neutrino
A super-light sterile neutrino was proposed to explain the absence of the
expected upturn of the survival probability of low energy solar boron
neutrinos. This is because this super-light sterile neutrino can oscillate
efficiently with electron neutrino through a MSW resonance happened in Sun. One
may naturally expect that a similar resonance should happen for neutrinos
propagating in Earth matter. We study the flavor conversion of this super-light
sterile neutrino with active neutrinos in Earth matter. We find that the
scenario of the super-light sterile neutrino can easily pass through possible
constraints from experiments which can test the Earth matter effect in
oscillation of neutrinos. Interestinlgy, we find that this is because the
naively expected resonant conversion disappears or is significantly suppressed
due to the presence of a potential which arises from neutral current
interaction of neutrino with neutrons in matter. In contrast, the neutron
number density in the Sun is negligible and the effect of is effectively
switched off. This enables the MSW resonance in Sun needed in oscillation of
the super-light sterile neutrino with solar electron neutrinos. It's
interesting to note that it is the different situation in the Sun and in the
Earth that makes effectively turned off and turned on respectively. This
observation makes the scenario of the super-light sterile neutrino quite
interesting.Comment: 22 pages, 10 figure
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