Hindawi Publishing Corporation Advances in High Energy Physics Volume 2012, Article ID 379460, 18 pages doi:10.1155/2012/379460 Research Article Coherent and Incoherent Neutral Current Scattering for Supernova Detection P. C. Divari Department of Physical Sciences and Applications, Hellenic Army Academy, Vari 16673, Attica, Greece Correspondence should be addressed to P. C. Divari, pdivari@gmail.com Received 28 December 2011; Revised 15 March 2012; Accepted 30 March 2012 Academic Editor: Guey-Lin Lin Copyright q 2012 P. C. Divari. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The total cross sections as well as the neutrino event rates are calculated in the neutral current neutrino scattering off 40 Ar and 132 Xe isotopes at neutrino energies E v < 100 MeV. The individual contribution coming from coherent and incoherent channels is taking into account. An enhancement of the neutral current component is achieved via the coherent 0  gs → 0  gs  channel which is dominant with respect to incoherent 0  gs → J f  one. The response of the above isotopes as a supernova neutrino detection has been considered, assuming a two parameter Fermi-Dirac distribution for the supernova neutrino energy spectra. The calculated total cross sections are tested on a gaseous spherical TPC detector dedicated for supernova neutrino detection. 1. Introduction It is well known that neutrinos and their interactions with nuclei have attracted a great deal of attention, since they play a fundamental role in nuclear physics, cosmology, and in various astrophysical processes, especially in the dynamics of core-collapse supernova- nucleosynthesis 1–11. Moreover, neutrinos proved to be interesting tools for testing weak interaction properties, by examining nuclear structure and for exploring the limits of the standard model 12. In spite of the important role the neutrinos play in many phenomena in nature, numerous questions concerning their properties, oscillation characteristics, their role in star evolutions and in the dark matter of the universe, and so forth remain still unanswered. The main goal of experimental 13–17 and theoretical studies 18–27 is to shed light on the above open problems to which neutrinos are absolutely crucial. Among the probes which involve neutrinos, the neutrino-nucleus interaction possess a prominent position 28–34. Thus, the study of neutrino scattering with nuclei is a good way to detect or distinguish neutrinos of different flavor and explore the basic structure of the weak interactions. Also, specific neutrino-induced transitions between discrete nuclear