EARTH’S TOMOGRAPHY WITH SUPERNOVA NEUTRINOS OSCILLATION IN THE LMA RANGE.
Keywords:
Supernova neutrinos, neutrino oscillation, Earth’s matter effectsAbstract
Low energy neutrinos can be used to probe the Earth’s density from the study of the Earth’s matter effects on their oscillation. In this work, we will show how this can be achieved with neutrinos coming from a future Galactic Supernova explosion ( ), using an analytic formula that describes the Earth’s matter effects on their oscillation. We will focus, in this study, on the linear case where neutrinos travel short distances ( ) through the Earth, showing how a Tomogram of the Earth (a 2D image from a 3D body) can be created just by making use of the information obtained from the observation of the Earth’s matter effects, which is the case for specific choices of the neutrino oscillation parameters and the neutrino mass schemes. In our work, we will treat the case where the neutrino oscillations are explained by the large mixing angle solution to the solar neutrino problem (LMA), combined with the normal mass hierarchy.
Downloads
References
W. Winter. Learning about the Earth’s interior using the propagation of neutrinos. Earth, Moon and Planets (From the issue entitled "Neutrino Geophysics Proceedings of Neutrino Sciences 2005"). Vol. 99. (2005). pp. 285-307.
M.C. González-García, et al. Radiography of the Earth’s core and mantle with atmospheric neutrinos. Phys. Rev. Lett. Vol. 100. (2008).
T. Ohlsson and W. Winter. Reconstruction of the Earth’s mantle density profile using a single neutrino baseline. Phys. Lett. B. Vol. 512. (2001). pp. 357.
W. Winter. Probing the absolute density of the Earth’s core using a vertical neutrino beam. Phys. Rev. D. Vol. 72. (2005).
E.K. Akhmedov, M.A. Tortola and J.W.F. Valle. Geotomography with solar and supernova neutrinos. JHEP. Vol. 06. (2005). pp. 053.
K. Kotake, et al. Explosion mechanism, neutrino burst and gravitational wavein core collapse Supernovae. Rep. Prog. Phys. Vol. 69. (2006).
A. Yu. Smirnov. The MSW effect and solar neutrinos. preprint, hep-ph/0305106. (2003). < http://arxiv.org/abs/hep-ph/0305106 >
A.S. Dighe and A.Y. Smirnov. Identifying the neutrino mass spectrum from a Supernova neutrino burst. Phys. Rev. D. Vol. 62. (2000).
K. Takahashi, et al. The Earth effects on the Supernova neutrino spectra. Phys. Lett. B. Vol. 510. (2001). pp. 189-196.
A.S. Dighe, et al. Signature of Supernova neutrinos oscillation in the Earth’s mantle and core. preprint, hep-ph/0311172 .(2003). < http://arxiv.org/abs/hep-ph/0311172>.
C. Lunardini and A. Yu. Smirnov. Supernova neutrinos: Earth matter effects and neutrino mass spectrum. Nucl. Phys. B. Vol. 616. (2001). pp. 307-348.
E.K. Akhmedov, M.A. Tortola and J.W.F. Valle. A simple analytic three-flavor description of the day-night effect in the solar neutrino flux. JHEP. Vol. 05. (2004). pp. 057.
E.K. Akhmedov, et al. Series expansion for three-flavor neutrino oscillation probabilities in matter. JHEP. Vol. 04. (2004). pp. 078.
A.M. Dziewonski and D.L. Anderson. Preliminary reference Earth model. Phys. Earth Planet. Inter. Vol. 25. (1981). pp. 297.
T. Ohlsson and W. Winter. Could one find petroleum using neutrino oscillations in matter?. Europhys. Lett. Vol. 60. (2002). pp. 34-39.
A. N. Ioannisian and A. Y. Smirnov. Matter effects on thin layers: detecting oil by oscillations of solar neutrinos. preprint, hep-ph/0201012. (2002). <http://arxiv.org/abs/hep-ph/0201012 >.
A.H. Borzabadi and O.S. Fard. Approximate solution of nonlinear FIE of the 1st kind. World Academy of Science, Engineering and Technology. Vol. 33. (2007). pp. 70-73.
NAG Fortran Library Chapter Introduction (D05 – Integral Equations) <http://www.nag.co.uk/numeric/FL/manual/xhtml/D05/d05_intro.xml>
M. Lindner, et al. Tomography of the Earth’s core using Supernova neutrinos. Astropart. Phys. Vol. 19. (2003). pp. 755.
D.F. Hollenbach and J.M. Herndon. Deep-Earth reactor: nuclear fission, helium and the geomagnetic field. PNAS. Vol. 98. (2001). pp. 11085-11090.
K.R. Rao. Nuclear reactor at the core of the Earth!- A solution to the riddles of relative abundances of helium isotopes and geomagnetic field variability. Current Science. Vol. 82. (2002).
R.J. de Meijer, et al. Quest for a nuclear georeactor. Rad. Phys. Chem. Vol. 71. (2004). pp. 769-774.
