66,482 research outputs found
Quasi-Degenerate Neutrino Masses with Normal and Inverted Hierarchy
The effects of CP-phases on the three absolute quasi-degenerate Majorana
neutrino (QDN) masses are stud-ied with neutrino mass matrices obeying {\mu} -
{\tau} symmetry for normal as well as inverted hierarchical mass patterns. We
have made further investigations on 1) the prediction of solar mixing angle
which lies below tri-bimaximal mixing value in consistent with neutrino
oscillation observational data, 2) the prediction on absolute neutrino mass
parameter (mee) in 0{\nu}{\beta}{\beta} decay, and 3) cosmological bound on the
sum of the three absolute neutrino masses. The numerical analysis is carried
out through the parameterization of neu- trino mass matrices using only two
unknown parameters ({\epsilon}, {\eta}) within {\mu} - {\tau} symmetry. The
results show the validity of QDN mass models in both normal and inverted
hierarchical patterns. These models are far from discrimination and hence not
yet ruled out. The results presented in this article are new and have subtle
ef- fects in the discrimination of neutrino mass models.Comment: 8 pages, gave a contributory Talk at Ist IAS-CERN Singpore, Jan 2012;
Journal of Modern Physics (JMP), Vol 2. No.11, November 2011 US
Dynamics of Uniform Quantum Gases, I: Density and Current Correlations
A unified approach valid for any wavenumber, frequency, and temperature is
presented for uniform ideal quantum gases allowing for a comprehensive study of
number density and particle-current density response functions. Exact
analytical expressions are obtained for spectral functions in terms of
polylogarithms. Also, particle-number and particle-current static
susceptibilities are presented which, for fugacity less than unity,
additionally involve Kummer functions. The wavenumber and temperature dependent
transverse-current static susceptibility is used to show explicitly that
current correlations are of a long range in a Bose-condensed uniform ideal gas
but for bosons above the critical temperature and for Fermi and Boltzmann gases
at all temperatures these correlations are of short range. Contact repulsive
interactions for systems of neutral quantum particles are considered within the
random-phase approximation. The expressions for particle-number and
transverse-current susceptibilities are utilized to discuss the existence or
nonexistence of superfluidity in the systems under consideration
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