TY - JOUR

T1 - Effects of atomic-scale electron density profile and a fast and efficient iteration algorithm for matter effect of neutrino oscillation

AU - Horoi, Mihai

AU - Zettel, Adam

N1 - Funding Information:
A.Z. would like to thank the Central Michigan University Office of Research and Graduate Studies Summer Scholar Grant, and the Central Michigan University Department of Physics. He also acknowledges collaboration with Marco Fornari of the AFLOW Consortium (http://www.aflow.org) under the sponsorship of DOD-ONR (Grants N000141310635 and N000141512266). A special thank to Ethan Stearns for all his DFT calculations and help with Figure 1.
Funding Information:
Acknowledgments: A.Z. would like to thank the Central Michigan University Office of Research and Graduate Studies Summer Scholar Grant, and the Central Michigan University Department of Physics. He also acknowledges collaboration with Marco Fornari of the AFLOW Consortium (http://www.aflow.org) under the sponsorship of DOD-ONR (Grants N000141310635 and N000141512266). A special thank to Ethan Stearns for all his DFT calculations and help with Figure 1.
Publisher Copyright:
© 2020 by the authors.

PY - 2020

Y1 - 2020

N2 - In a recent article, we noticed that the electron density in condensed matter exhibits large spikes close to the atomic nuclei. We showed that the peak magnitude of these spikes in the electron densities, 3–4 orders larger than the average electron plasma density in the Sun’s core, have no effect on the neutrino emission and absorption probabilities or on the neutrinoless double beta decay probability. However, it was not clear if the effect of these spikes is equivalent to that of an average constant electron density in matter. We investigated these effects by a direct integration of the coupled Dirac equations describing the propagation of flavor neutrinos into, through, and out of the matter. We proposed a new iteration-based algorithm for computing the neutrino survival/appearance probability in matter, which we found to be at least 20 times faster than some direct integration algorithms under the same accuracy. With this method, we found little evidence that these spikes affect the standard oscillations probabilities. In addition, we show that the new algorithm can explain the equivalence of using average electron densities instead of the spiked electron densities. The new algorithm is further extended to the case of light sterile neutrinos.

AB - In a recent article, we noticed that the electron density in condensed matter exhibits large spikes close to the atomic nuclei. We showed that the peak magnitude of these spikes in the electron densities, 3–4 orders larger than the average electron plasma density in the Sun’s core, have no effect on the neutrino emission and absorption probabilities or on the neutrinoless double beta decay probability. However, it was not clear if the effect of these spikes is equivalent to that of an average constant electron density in matter. We investigated these effects by a direct integration of the coupled Dirac equations describing the propagation of flavor neutrinos into, through, and out of the matter. We proposed a new iteration-based algorithm for computing the neutrino survival/appearance probability in matter, which we found to be at least 20 times faster than some direct integration algorithms under the same accuracy. With this method, we found little evidence that these spikes affect the standard oscillations probabilities. In addition, we show that the new algorithm can explain the equivalence of using average electron densities instead of the spiked electron densities. The new algorithm is further extended to the case of light sterile neutrinos.

KW - Appearance

KW - Disappearance experiments

KW - Long- and short-baseline accelerator neutrinos

KW - Neutrino mass and oscillations

UR - http://www.scopus.com/inward/record.url?scp=85080035067&partnerID=8YFLogxK

U2 - 10.3390/universe6010016

DO - 10.3390/universe6010016

M3 - Article

AN - SCOPUS:85080035067

VL - 6

JO - Universe

JF - Universe

SN - 2218-1997

IS - 1

M1 - 16

ER -