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Mean square number fluctuation for a fermion source and its dependence on neutrino mass for the universal cosmic neutrino background

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Title Mean square number fluctuation for a fermion source and its dependence on neutrino mass for the universal cosmic neutrino background
 
Creator JAWKAR, SS
JHA, SS
 
Subject nucleosynthesis
cosmic neutrino background
relic neutrinos
mean square fluctuation
neutrino mass
 
Description Using the general formulation for obtaining chemical potential mu of an ideal Fermi gas of particles at temperature T, with particle rest mass m(0) and average density /V, the dependence of the mean square number fluctuation /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 (non-relativistic case), very small (ultra-relativistic 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 /V but also the mean square fluctuation /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 mass m. instead of the actual mass m(0v).
 
Publisher INDIAN ACADEMY SCIENCES
 
Date 2011-08-02T04:43:54Z
2011-12-26T12:53:42Z
2011-12-27T05:40:36Z
2011-08-02T04:43:54Z
2011-12-26T12:53:42Z
2011-12-27T05:40:36Z
2005
 
Type Article
 
Identifier PRAMANA-JOURNAL OF PHYSICS, 64(1), 17-29
0304-4289
http://dx.doi.org/10.1007/BF02704526
http://dspace.library.iitb.ac.in/xmlui/handle/10054/8664
http://hdl.handle.net/10054/8664
 
Language en