5,107 research outputs found
Propose economical and stable lepton mass matrices with texture zeros
There are many viable combinations of texture zeros in lepton mass matrices.
We propose an economical and stable mass texture. Analytical and numerical
results on mixing parameters and the effective mass of neutrinos are obtained.
These results satisfy new constraints from neutrinos oscillation experiments
and cosmological observations. Our proposition reveals that in the complex
forest of neutrinos mixing models, a simple and robust one is still possible.Comment: 11 pages, 2 figure
Lepton mixing patterns from the group with a generalized CP transformation
The group with the generalized CP transformation is
introduced to predict the mixing pattern of leptons. Various combinations of
abelian residual flavor symmetries with CP transformations are surveyed. Six
mixing patterns could accommodate the fit data of neutrinos oscillation at
level. Among them, two patterns predict the nontrivial Dirac CP
phase, around or , which is in accordance
with the result of the literature and the recent fit data. Furthermore, one
pattern could satisfy the experimental constraints at level
Lepton mixing patterns from combinations of elementary correlations
Recent data of reactor neutrino experiments set more stringent constraint on
leptonic mixing patterns. We examine all possible patterns on the basis of
combinations of elementary correlations of elements of leptonic mixing matrix.
we obtain 62 viable mixing patters at 3 level of mixing parameters.
Most of these patterns can be paired via the {\mu}- interchange which changes
the octant of and the sign of . All viable patterns
can be classified into two groups: the perturbative patterns and
non-perturbative patterns. The former can be obtained from perturbing TBM. The
latter cannot be obtained from perturbing any mixing pattern whose
is zero. Different predictions of Dirac CP phase of
these two types of mixing patterns are discussed. Evolutions of mass matrices
of neutrinos with small mixing parameters are discussed via special mixing
patterns on the basis of flavor groups. In general cases, a small variation of
may bring about large modifications to alignment of vacuum
expectation values in a mixing model. Therefore, small but nonzero
brings a severer challenge to leptonic mixing models on the
basis of flavor groups than usual views.Comment: 29pages, 5 figure
A novel mathematical construct for the family of leptonic mixing patterns
In order to induce a family of mixing patterns of leptons which accommodate
the experimental data with a simple mathematical construct, we construct a
novel object from the hybrid of two elements of a finite group with a parameter
. This construct is an element of a mathematical structure called
group-algebra. It could reduce to a generator of a cyclic group if
is a rational number. We discuss a specific example on the base
of the group . This example shows that infinite cyclic groups could give
the viable mixing patterns for Dirac neutrinos.Comment: 9 pages, 2 figures, 1 tabl
Studying the baryon properties through chiral soliton model at finite temperature and denstity
We have studied the chiral soliton model in a thermal vacuum. The soliton
equations are solved at finite temperature and density. The temperature or
density dependent soliton solutions are presented. The physical properties of
baryons are derived from the soliton solutions at finite temperature and
density. The temperature or density dependent variation of the baryon
properties are discussed.Comment: 7 pages, 6 figure
To understand sQGP through non-topological FL model
The non-topological FL model is studied at finite temperature and density.
The soliton solutions of the FL model in deconfinement phase transition are
solved and thoroughly discussed for different boundary conditions. We indicate
that the solitons before and after the deconfinement have different physical
meanings: the soliton before deconfinement represents hadron, while the soliton
after the deconfinement represents the bound state of quarks which leads to a
sQGP phase. The corresponding phase diagram is given.Comment: 7 pages, 8 figure
Interplay between Fano resonance and symmetry in non-Hermitian discrete systems
We study the effect of PT-symmetric complex potentials on the transport
properties of non-Hermitian systems, which consist of an infinite linear chain
and two side-coupled defect points with PT-symmetric complex on-site
potentials. By analytically solving the scattering problem of two typical
models, which display standard Fano resonances in the absence of non-Hermitian
terms, we find that the PT-symmetric imaginary potentials can lead to some
pronounced effects on transport properties of our systems, including changes
from the perfect reflection to perfect transmission, and rich behaviors for the
absence or existence of the prefect reflection at one and two resonant
frequencies. Our study can help us to understand the interplay between the Fano
resonance and PT symmetry in non-Hermitian discrete systems, which may be
realizable in optical waveguide experiments.Comment: 6 pages, 6 figure
The generalized connectivity of some regular graphs
The generalized -connectivity of a graph is a
parameter that can measure the reliability of a network to connect any
vertices in , which is proved to be NP-complete for a general graph . Let
and denote the maximum number of
edge-disjoint trees in such that
for any and . For an integer with , the {\em generalized
-connectivity} of a graph is defined as and .
In this paper, we study the generalized -connectivity of some general
-regular and -connected graphs constructed recursively and obtain
that , which attains the upper bound of
[Discrete Mathematics 310 (2010) 2147-2163] given by Li {\em et al.} for
. As applications of the main result, the generalized -connectivity
of many famous networks such as the alternating group graph , the
-ary -cube , the split-star network and the
bubble-sort-star graph etc. can be obtained directly.Comment: 19 pages, 6 figure
The -good neighbour diagnosability of hierarchical cubic networks
Let be a connected graph, a subset is called an
-vertex-cut of if is disconnected and any vertex in has
at least neighbours in . The -vertex-connectivity is the size
of the minimum -vertex-cut and denoted by . Many
large-scale multiprocessor or multi-computer systems take interconnection
networks as underlying topologies. Fault diagnosis is especially important to
identify fault tolerability of such systems. The -good-neighbor
diagnosability such that every fault-free node has at least fault-free
neighbors is a novel measure of diagnosability. In this paper, we show that the
-good-neighbor diagnosability of the hierarchical cubic networks
under the PMC model for and the model for is , respectively
symmetry breaking for the scattering problem in a one-dimensional non-Hermitian lattice model
We study the -symmetry breaking for the scattering problem in
a one-dimensional (1D) non-Hermitian tight-binding lattice model with balanced
gain and loss distributed on two adjacent sites. In the scattering process the
system undergoes a transition from the exact -symmetry phase to
the phase with spontaneously breaking -symmetry as the amplitude
of complex potentials increases. Using the S-matrix method, we derive an exact
discriminant, which can be used to distinguish different symmetry phases, and
analytically determine the exceptional point for the symmetry breaking. In the
-symmetry breaking region, we also confirm the appearance of the
unique feature, i.e., the coherent perfect absorption Laser, in this simple
non-Hermitian lattice model. The study of the scattering problem of such a
simple model provides an additional way to unveil the physical effect of
non-Hermitian -symmetric potentials.Comment: 6 pages, 3 figure
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