Jawkar, Swapnil S. ; Jha, Sudhanshu S. (2005) Mean square number fluctuation for a fermion source and its dependence on neutrino mass for the universal cosmic neutrino background Pramana  Journal of Physics, 64 (1). pp. 1729. ISSN 03044289

PDF
 Publisher Version
760kB 
Official URL: http://www.ias.ac.in/pramana/v64/p17/fulltext.pdf
Related URL: http://dx.doi.org/10.1007/BF02704526
Abstract
Using the general formulation for obtaining chemical potential µ of an ideal Fermi gas of particles at temperature T, with particle rest mass m_{0} and average density <N>/V, the dependence of the mean square number fluctuation <ΔN^{2}>/V on the particle mass m_{0} has been calculated explicitly. The numerical calculations are exact in all cases whether rest mass energy m_{0}c^{2} is very large (nonrelativistic case), very small (ultrarelativistic case) or of the same order as the thermal energy k_{B}T. Application of our results to the detection of the universal very low energy cosmic neutrino background (CNB), from any of the three species of neutrinos, shows that it is possible to estimate the neutrino mass of these species if from approximate experimental measurements of their momentum distribution one can extract, someday, not only the density <N_{v}/V but also the mean square fluctuation <Δ_{v}^{2}>/V. If at the present epoch, the universe is expanding much faster than thermalization rate for CNB, it is shown that our analysis leads to a scaled neutrino massm v instead of the actual mass mo_{v}.
Item Type:  Article 

Source:  Copyright of this article belongs to Indian Academy of Sciences. 
Keywords:  Cosmic Neutrino Background; Relic Neutrinos; Mean Square Fluctuation; Neutrino Mass 
ID Code:  66517 
Deposited On:  24 Oct 2011 09:13 
Last Modified:  18 May 2016 14:01 
Repository Staff Only: item control page